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sets</title> <meta name="description" content="Search results for: fuzzy sets"> <meta name="keywords" content="fuzzy sets"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" 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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="fuzzy sets"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1444</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: fuzzy sets</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1444</span> On Fuzzy Weakly-Closed Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.%20Mahanta">J. Mahanta</a>, <a href="https://publications.waset.org/search?q=P.K.%20Das"> P.K. Das</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and fuzzy weakly closed space.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20weakly-closed%20set" title="Fuzzy weakly-closed set">Fuzzy weakly-closed set</a>, <a href="https://publications.waset.org/search?q=fuzzy%20weakly-closed%0D%0Aspace" title=" fuzzy weakly-closed space"> fuzzy weakly-closed space</a>, <a href="https://publications.waset.org/search?q=fuzzy%20weakly-compactness" title=" fuzzy weakly-compactness"> fuzzy weakly-compactness</a>, <a href="https://publications.waset.org/search?q=MSC%3A%2054A40" title=" MSC: 54A40"> MSC: 54A40</a>, <a href="https://publications.waset.org/search?q=54D30." title=" 54D30."> 54D30.</a> </p> <a href="https://publications.waset.org/16774/on-fuzzy-weakly-closed-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16774/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16774/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16774/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16774/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16774/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16774/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16774/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16774/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16774/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16774/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16774.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1775</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1443</span> A Fuzzy Nonlinear Regression Model for Interval Type-2 Fuzzy Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=O.%20Poleshchuk">O. Poleshchuk</a>, <a href="https://publications.waset.org/search?q=E.Komarov"> E.Komarov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents a regression model for interval type-2 fuzzy sets based on the least squares estimation technique. Unknown coefficients are assumed to be triangular fuzzy numbers. The basic idea is to determine aggregation intervals for type-1 fuzzy sets, membership functions of whose are low membership function and upper membership function of interval type-2 fuzzy set. These aggregation intervals were called weighted intervals. Low and upper membership functions of input and output interval type-2 fuzzy sets for developed regression models are considered as piecewise linear functions.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Interval%20type-2%20fuzzy%20sets" title="Interval type-2 fuzzy sets">Interval type-2 fuzzy sets</a>, <a href="https://publications.waset.org/search?q=fuzzy%20regression" title=" fuzzy regression"> fuzzy regression</a>, <a href="https://publications.waset.org/search?q=weighted%20interval." title=" weighted interval."> weighted interval.</a> </p> <a href="https://publications.waset.org/9998347/a-fuzzy-nonlinear-regression-model-for-interval-type-2-fuzzy-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998347/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998347/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998347/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998347/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998347/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998347/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998347/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998347/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998347/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998347/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998347.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2218</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1442</span> A New Condition for Conflicting Bifuzzy Sets Based On Intuitionistic Evaluation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Imran%20C.T.">Imran C.T.</a>, <a href="https://publications.waset.org/search?q=Syibrah%20M.N."> Syibrah M.N.</a>, <a href="https://publications.waset.org/search?q=Mohd%20Lazim%20A."> Mohd Lazim A.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Fuzzy sets theory affirmed that the linguistic value for every contraries relation is complementary. It was stressed in the intuitionistic fuzzy sets (IFS) that the conditions for contraries relations, which are the fuzzy values, cannot be greater than one. However, complementary in two contradict phenomena are not always true. This paper proposes a new idea condition for conflicting bifuzzy sets by relaxing the condition of intuitionistic fuzzy sets. Here, we will critically forward examples using triangular fuzzy number in formulating a new condition for conflicting bifuzzy sets (CBFS). Evaluation of positive and negative in conflicting phenomena were calculated concurrently by relaxing the condition in IFS. The hypothetical illustration showed the applicability of the new condition in CBFS for solving non-complement contraries intuitionistic evaluation. This approach can be applied to any decision making where conflicting is very much exist. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Conflicting%20bifuzzy%20set" title="Conflicting bifuzzy set">Conflicting bifuzzy set</a>, <a href="https://publications.waset.org/search?q=conflicting%20degree" title=" conflicting degree"> conflicting degree</a>, <a href="https://publications.waset.org/search?q=fuzzy%0Asets" title=" fuzzy sets"> fuzzy sets</a>, <a href="https://publications.waset.org/search?q=fuzzy%20numbers." title=" fuzzy numbers."> fuzzy numbers.</a> </p> <a href="https://publications.waset.org/8086/a-new-condition-for-conflicting-bifuzzy-sets-based-on-intuitionistic-evaluation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8086/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8086/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8086/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8086/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8086/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8086/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8086/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8086/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8086/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8086/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8086.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1680</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1441</span> Fuzzy Multiple Criteria Decision Making for Unmanned Combat Aircraft Selection Using Proximity Measure Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20Ardil">C. Ardil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Intuitionistic fuzzy sets (IFS), Pythagorean fuzzy sets (PyFS), Picture fuzzy sets (PFS), q-rung orthopair fuzzy sets (q-ROF), Spherical fuzzy sets (SFS), T-spherical FS, and Neutrosophic sets (NS) are reviewed as multidimensional extensions of fuzzy sets in order to more explicitly and informatively describe the opinions of decision-making experts under uncertainty. To handle operations with standard fuzzy sets (SFS), the necessary operators; weighted arithmetic mean (WAM), weighted geometric mean (WGM), and Minkowski distance function are defined. The algorithm of the proposed proximity measure method (PMM) is provided with a multiple criteria group decision making method (MCDM) for use in a standard fuzzy set environment. To demonstrate the feasibility of the proposed method, the problem of selecting the best drone for an Air Force procurement request is used. The proximity measure method (PMM) based multidimensional standard fuzzy sets (SFS) is introduced to demonstrate its use with an issue involving unmanned combat aircraft selection.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=standard%20fuzzy%20sets%20%28SFS%29" title="standard fuzzy sets (SFS)">standard fuzzy sets (SFS)</a>, <a href="https://publications.waset.org/search?q=unmanned%20combat%20aircraft%20selection" title=" unmanned combat aircraft selection"> unmanned combat aircraft selection</a>, <a href="https://publications.waset.org/search?q=multiple%20criteria%20decision%20making%20%28MCDM%29" title=" multiple criteria decision making (MCDM)"> multiple criteria decision making (MCDM)</a>, <a href="https://publications.waset.org/search?q=proximity%20measure%20method%20%28PMM%29." title=" proximity measure method (PMM)."> proximity measure method (PMM).</a> </p> <a href="https://publications.waset.org/10012991/fuzzy-multiple-criteria-decision-making-for-unmanned-combat-aircraft-selection-using-proximity-measure-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012991/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012991/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012991/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012991/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012991/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012991/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012991/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012991/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012991/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012991/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012991.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">360</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1440</span> Intuitionistic Fuzzy Points in Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sujit%20Kumar%20Sardar%20Manasi%20Mandal%20Samit%20Kumar%20Majumder">Sujit Kumar Sardar Manasi Mandal Samit Kumar Majumder</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Y.B. Jun and S.Z. Song introduced the notion of intuitionistic fuzzy points. In this paper we find some relations between the intuitionistic fuzzy ideals of a semigroup S and the set of all intuitionistic fuzzy points of S. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Semigroup" title="Semigroup">Semigroup</a>, <a href="https://publications.waset.org/search?q=Regular%28intra-regular%29%20semigroup" title=" Regular(intra-regular) semigroup"> Regular(intra-regular) semigroup</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20point" title=" Intuitionistic fuzzy point"> Intuitionistic fuzzy point</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20subsemigroup" title=" Intuitionistic fuzzy subsemigroup"> Intuitionistic fuzzy subsemigroup</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20ideal" title=" Intuitionistic fuzzy ideal"> Intuitionistic fuzzy ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20interior%20ideal" title=" Intuitionistic fuzzy interior ideal"> Intuitionistic fuzzy interior ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20semiprime%20ideal" title=" Intuitionistic fuzzy semiprime ideal"> Intuitionistic fuzzy semiprime ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20prime%20ideal." title=" Intuitionistic fuzzy prime ideal."> Intuitionistic fuzzy prime ideal.</a> </p> <a href="https://publications.waset.org/8848/intuitionistic-fuzzy-points-in-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8848/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8848/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8848/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8848/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8848/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8848/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8848/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8848/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8848/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8848/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8848.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1847</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1439</span> Some Equalities Connected with Fuzzy Soft Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=D.%20R.%20Jain">D. R. Jain</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The aim of this paper is to use matrix representation of Fuzzy soft sets for proving some equalities connected with Fuzzy soft sets based on set-operations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Equality" title="Equality">Equality</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20soft%20matrix" title=" Fuzzy soft matrix"> Fuzzy soft matrix</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20soft%20sets" title=" Fuzzy soft sets"> Fuzzy soft sets</a>, <a href="https://publications.waset.org/search?q=operations." title=" operations."> operations.</a> </p> <a href="https://publications.waset.org/9999735/some-equalities-connected-with-fuzzy-soft-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999735/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999735/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999735/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999735/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999735/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999735/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999735/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999735/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999735/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999735/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999735.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1782</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1438</span> Determination of Adequate Fuzzy Inequalities for their Usage in Fuzzy Query Languages</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Marcel%20Shirvanian">Marcel Shirvanian</a>, <a href="https://publications.waset.org/search?q=Wolfram%20Lippe"> Wolfram Lippe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Although the usefulness of fuzzy databases has been pointed out in several works, they are not fully developed in numerous domains. A task that is mostly disregarded and which is the topic of this paper is the determination of suitable inequalities for fuzzy sets in fuzzy query languages. This paper examines which kinds of fuzzy inequalities exist at all. Afterwards, different procedures are presented that appear theoretically appropriate. By being applied to various examples, their strengths and weaknesses are revealed. Furthermore, an algorithm for an efficient computation of the selected fuzzy inequality is shown. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20Databases" title="Fuzzy Databases">Fuzzy Databases</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20Inequalities" title=" Fuzzy Inequalities"> Fuzzy Inequalities</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20QueryLanguages" title=" Fuzzy QueryLanguages"> Fuzzy QueryLanguages</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20Ranking." title=" Fuzzy Ranking."> Fuzzy Ranking.</a> </p> <a href="https://publications.waset.org/8014/determination-of-adequate-fuzzy-inequalities-for-their-usage-in-fuzzy-query-languages" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8014/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8014/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8014/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8014/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8014/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8014/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8014/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8014/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8014/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8014/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8014.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1358</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1437</span> Standard Fuzzy Sets for Aircraft Selection using Multiple Criteria Decision Making Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20Ardil">C. Ardil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This study uses two-dimensional standard fuzzy sets to enhance multiple criteria decision-making analysis for passenger aircraft selection, allowing decision-makers to express judgments with uncertain and vague information. Using two-dimensional fuzzy numbers, three decision makers evaluated three aircraft alternatives according to seven decision criteria. A validity analysis based on two-dimensional standard fuzzy weighted geometric (SFWG) and two-dimensional standard fuzzy weighted average (SFGA) operators is conducted to test the proposed approach's robustness and effectiveness in the fuzzy multiple criteria decision making (MCDM) evaluation process. </p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Standard%20fuzzy%20sets%20%28SFSs%29" title="Standard fuzzy sets (SFSs)">Standard fuzzy sets (SFSs)</a>, <a href="https://publications.waset.org/search?q=aircraft%20selection" title=" aircraft selection"> aircraft selection</a>, <a href="https://publications.waset.org/search?q=multiple%20criteria%20decision%20making" title=" multiple criteria decision making"> multiple criteria decision making</a>, <a href="https://publications.waset.org/search?q=intuitionistic%20fuzzy%20sets%20%28IFSs%29" title=" intuitionistic fuzzy sets (IFSs)"> intuitionistic fuzzy sets (IFSs)</a>, <a href="https://publications.waset.org/search?q=SFWG" title=" SFWG"> SFWG</a>, <a href="https://publications.waset.org/search?q=SFGA" title=" SFGA"> SFGA</a>, <a href="https://publications.waset.org/search?q=MCDM" title=" MCDM"> MCDM</a> </p> <a href="https://publications.waset.org/10013062/standard-fuzzy-sets-for-aircraft-selection-using-multiple-criteria-decision-making-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013062/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013062/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10013062/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10013062/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10013062/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10013062/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10013062/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10013062/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10013062/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10013062/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10013062.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">392</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1436</span> Novel and Different Definitions for Fuzzy Union and Intersection Operations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Aarthi%20Chandramohan">Aarthi Chandramohan</a>, <a href="https://publications.waset.org/search?q=M.%20V.%20C.%20Rao"> M. V. C. Rao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents three new methodologies for the basic operations, which aim at finding new ways of computing union (maximum) and intersection (minimum) membership values by taking into effect the entire membership values in a fuzzy set. The new methodologies are conceptually simple and easy from the application point of view and are illustrated with a variety of problems such as Cartesian product of two fuzzy sets, max 鈥搈in composition of two fuzzy sets in different product spaces and an application of an inverted pendulum to determine the impact of the new methodologies. The results clearly indicate a difference based on the nature of the fuzzy sets under consideration and hence will be highly useful in quite a few applications where different values have significant impact on the behavior of the system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Centroid" title="Centroid">Centroid</a>, <a href="https://publications.waset.org/search?q=fuzzy%20set%20operations" title=" fuzzy set operations"> fuzzy set operations</a>, <a href="https://publications.waset.org/search?q=intersection" title=" intersection"> intersection</a>, <a href="https://publications.waset.org/search?q=triangular%20norms" title=" triangular norms "> triangular norms </a>, <a href="https://publications.waset.org/search?q=triangular%20S-norms" title=" triangular S-norms"> triangular S-norms</a>, <a href="https://publications.waset.org/search?q=union." title=" union."> union.</a> </p> <a href="https://publications.waset.org/8136/novel-and-different-definitions-for-fuzzy-union-and-intersection-operations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8136/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8136/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8136/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8136/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8136/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8136/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8136/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8136/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8136/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8136/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8136.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1505</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1435</span> A New Reliability Allocation Method Based On Fuzzy Numbers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Peng%20Li">Peng Li</a>, <a href="https://publications.waset.org/search?q=Chuanri%20Li"> Chuanri Li</a>, <a href="https://publications.waset.org/search?q=Tao%20Li"> Tao Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Reliability allocation is quite important during early design and development stages for a system to apportion its specified reliability goal to subsystems. This paper improves the reliability fuzzy allocation method, and gives concrete processes on determining the factor and sub-factor sets, weight sets, judgment set, and multi-stage fuzzy evaluation. To determine the weight of factor and sub-factor sets, the modified trapezoidal numbers are proposed to reduce errors caused by subjective factors. To decrease the fuzziness in fuzzy division, an approximation method based on linear programming is employed. To compute the explicit values of fuzzy numbers, centroid method of defuzzification is considered. An example is provided to illustrate the application of the proposed reliability allocation method based on fuzzy arithmetic.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Reliability%20allocation" title="Reliability allocation">Reliability allocation</a>, <a href="https://publications.waset.org/search?q=fuzzy%20arithmetic" title=" fuzzy arithmetic"> fuzzy arithmetic</a>, <a href="https://publications.waset.org/search?q=allocation%0D%0Aweight." title=" allocation weight."> allocation weight.</a> </p> <a href="https://publications.waset.org/10001222/a-new-reliability-allocation-method-based-on-fuzzy-numbers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001222/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001222/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001222/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001222/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001222/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001222/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001222/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001222/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001222/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001222/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001222.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3329</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1434</span> A New Objective Weight on Interval Type-2 Fuzzy Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nurnadiah%20Z.">Nurnadiah Z.</a>, <a href="https://publications.waset.org/search?q=Lazim%20A."> Lazim A.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The design of weight is one of the important parts in fuzzy decision making, as it would have a deep effect on the evaluation results. Entropy is one of the weight measure based on objective evaluation. Non--probabilistic-type entropy measures for fuzzy set and interval type-2 fuzzy sets (IT2FS) have been developed and applied to weight measure. Since the entropy for (IT2FS) for decision making yet to be explored, this paper proposes a new objective weight method by using entropy weight method for multiple attribute decision making (MADM). This paper utilizes the nature of IT2FS concept in the evaluation process to assess the attribute weight based on the credibility of data. An example was presented to demonstrate the feasibility of the new method in decision making. The entropy measure of interval type-2 fuzzy sets yield flexible judgment and could be applied in decision making environment. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Objective%20weight" title="Objective weight">Objective weight</a>, <a href="https://publications.waset.org/search?q=entropy%20weight" title=" entropy weight"> entropy weight</a>, <a href="https://publications.waset.org/search?q=multiple%20attributedecision%20making" title=" multiple attributedecision making"> multiple attributedecision making</a>, <a href="https://publications.waset.org/search?q=type-2%20fuzzy%20sets" title=" type-2 fuzzy sets"> type-2 fuzzy sets</a>, <a href="https://publications.waset.org/search?q=interval%20type-2%20fuzzy%20sets" title=" interval type-2 fuzzy sets"> interval type-2 fuzzy sets</a> </p> <a href="https://publications.waset.org/6678/a-new-objective-weight-on-interval-type-2-fuzzy-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6678/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6678/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6678/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6678/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6678/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6678/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6678/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6678/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6678/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6678/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6678.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1660</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1433</span> A New Similarity Measure on Intuitionistic Fuzzy Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Binyamin%20Yusoff">Binyamin Yusoff</a>, <a href="https://publications.waset.org/search?q=Imran%20Taib"> Imran Taib</a>, <a href="https://publications.waset.org/search?q=Lazim%20Abdullah"> Lazim Abdullah</a>, <a href="https://publications.waset.org/search?q=Abd%20Fatah%20Wahab"> Abd Fatah Wahab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Intuitionistic fuzzy sets as proposed by Atanassov, have gained much attention from past and latter researchers for applications in various fields. Similarity measures between intuitionistic fuzzy sets were developed afterwards. However, it does not cater the conflicting behavior of each element evaluated. We therefore made some modification to the similarity measure of IFS by considering conflicting concept to the model. In this paper, we concentrate on Zhang and Fu-s similarity measures for IFSs and some examples are given to validate these similarity measures. A simple modification to Zhang and Fu-s similarity measures of IFSs was proposed to find the best result according to the use of degree of indeterminacy. Finally, we mark up with the application to real decision making problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20sets" title="Intuitionistic fuzzy sets">Intuitionistic fuzzy sets</a>, <a href="https://publications.waset.org/search?q=similarity%20measures" title=" similarity measures"> similarity measures</a>, <a href="https://publications.waset.org/search?q=multicriteriadecision%20making." title=" multicriteriadecision making."> multicriteriadecision making.</a> </p> <a href="https://publications.waset.org/1280/a-new-similarity-measure-on-intuitionistic-fuzzy-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1280/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1280/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1280/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1280/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1280/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1280/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1280/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1280/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1280/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1280/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1280.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2847</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1432</span> On Generalized Exponential Fuzzy Entropy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Rajkumar%20Verma">Rajkumar Verma</a>, <a href="https://publications.waset.org/search?q=Bhu%20Dev%20Sharma"> Bhu Dev Sharma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present communication, the existing measures of fuzzy entropy are reviewed. A generalized parametric exponential fuzzy entropy is defined.Our study of the four essential and some other properties of the proposed measure, clearly establishes the validity of the measure as an entropy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=fuzzy%20sets" title="fuzzy sets">fuzzy sets</a>, <a href="https://publications.waset.org/search?q=fuzzy%20entropy" title=" fuzzy entropy"> fuzzy entropy</a>, <a href="https://publications.waset.org/search?q=exponential%20entropy" title=" exponential entropy"> exponential entropy</a>, <a href="https://publications.waset.org/search?q=exponential%0Afuzzy%20entropy." title=" exponential fuzzy entropy."> exponential fuzzy entropy.</a> </p> <a href="https://publications.waset.org/9417/on-generalized-exponential-fuzzy-entropy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9417/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9417/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9417/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9417/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9417/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9417/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9417/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9417/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9417/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9417/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9417.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2855</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1431</span> Fuzzy Mathematical Morphology approach in Image Processing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yee%20Yee%20Htun">Yee Yee Htun</a>, <a href="https://publications.waset.org/search?q=Dr.%20Khaing%20Khaing%20Aye"> Dr. Khaing Khaing Aye</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Morphological operators transform the original image into another image through the interaction with the other image of certain shape and size which is known as the structure element. Mathematical morphology provides a systematic approach to analyze the geometric characteristics of signals or images, and has been applied widely too many applications such as edge detection, objection segmentation, noise suppression and so on. Fuzzy Mathematical Morphology aims to extend the binary morphological operators to grey-level images. In order to define the basic morphological operations such as fuzzy erosion, dilation, opening and closing, a general method based upon fuzzy implication and inclusion grade operators is introduced. The fuzzy morphological operations extend the ordinary morphological operations by using fuzzy sets where for fuzzy sets, the union operation is replaced by a maximum operation, and the intersection operation is replaced by a minimum operation. In this work, it consists of two articles. In the first one, fuzzy set theory, fuzzy Mathematical morphology which is based on fuzzy logic and fuzzy set theory; fuzzy Mathematical operations and their properties will be studied in details. As a second part, the application of fuzziness in Mathematical morphology in practical work such as image processing will be discussed with the illustration problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Binary%20Morphological" title="Binary Morphological">Binary Morphological</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20sets" title=" Fuzzy sets"> Fuzzy sets</a>, <a href="https://publications.waset.org/search?q=Grayscalemorphology" title=" Grayscalemorphology"> Grayscalemorphology</a>, <a href="https://publications.waset.org/search?q=Image%20processing" title=" Image processing"> Image processing</a>, <a href="https://publications.waset.org/search?q=Mathematical%20morphology." title=" Mathematical morphology."> Mathematical morphology.</a> </p> <a href="https://publications.waset.org/1511/fuzzy-mathematical-morphology-approach-in-image-processing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1511/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1511/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1511/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1511/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1511/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1511/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1511/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1511/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1511/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1511/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1511.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3247</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1430</span> Intuitionistic Fuzzy Subalgebras (Ideals) with Thresholds (位, 渭) of BCI-Algebras</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shaoquan%20Sun">Shaoquan Sun</a>, <a href="https://publications.waset.org/search?q=Qianqian%20Li"> Qianqian Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Based on the theory of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy subalgebras with thresholds (λ, μ) and intuitionistic fuzzy ideals with thresholds (λ, μ) of BCI-algebras are introduced and some properties of them are discussed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=BCI-algebra" title="BCI-algebra">BCI-algebra</a>, <a href="https://publications.waset.org/search?q=intuitionistic%20fuzzy%20set" title=" intuitionistic fuzzy set"> intuitionistic fuzzy set</a>, <a href="https://publications.waset.org/search?q=intuitionistic%20%0D%0Afuzzy%20subalgebra%20with%20thresholds%20%28%CE%BB" title=" intuitionistic fuzzy subalgebra with thresholds (位"> intuitionistic fuzzy subalgebra with thresholds (位</a>, <a href="https://publications.waset.org/search?q=%CE%BC%29" title=" 渭)"> 渭)</a>, <a href="https://publications.waset.org/search?q=intuitionistic%20fuzzy%20ideal%20with%20%0D%0Athresholds%20%28%CE%BB" title=" intuitionistic fuzzy ideal with thresholds (位"> intuitionistic fuzzy ideal with thresholds (位</a>, <a href="https://publications.waset.org/search?q=%CE%BC%29." title=" 渭)."> 渭).</a> </p> <a href="https://publications.waset.org/9997846/intuitionistic-fuzzy-subalgebras-ideals-with-thresholds-l-m-of-bci-algebras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997846/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997846/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997846/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997846/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997846/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997846/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997846/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997846/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997846/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997846/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997846.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">4086</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1429</span> Some Clopen Sets in the Uniform Topology on BCI-algebras</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=A.%20Hasankhani">A. Hasankhani</a>, <a href="https://publications.waset.org/search?q=H.%20Saadat"> H. Saadat</a>, <a href="https://publications.waset.org/search?q=M.%20M.%20Zahedi"> M. M. Zahedi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper some properties of the uniformity topology on a BCI-algebras are discussed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=%28Fuzzy%29%20ideal" title="(Fuzzy) ideal">(Fuzzy) ideal</a>, <a href="https://publications.waset.org/search?q=%28Fuzzy%29%20subalgebra" title=" (Fuzzy) subalgebra"> (Fuzzy) subalgebra</a>, <a href="https://publications.waset.org/search?q=Uniformity" title=" Uniformity"> Uniformity</a>, <a href="https://publications.waset.org/search?q=clopen%20sets." title=" clopen sets."> clopen sets.</a> </p> <a href="https://publications.waset.org/4851/some-clopen-sets-in-the-uniform-topology-on-bci-algebras" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4851/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4851/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4851/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4851/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4851/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4851/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4851/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4851/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4851/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4851/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4851.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1658</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1428</span> Reliability Evaluation using Triangular Intuitionistic Fuzzy Numbers Arithmetic Operations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=G.%20S.%20Mahapatra">G. S. Mahapatra</a>, <a href="https://publications.waset.org/search?q=T.%20K.%20Roy"> T. K. Roy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In general fuzzy sets are used to analyze the fuzzy system reliability. Here intuitionistic fuzzy set theory for analyzing the fuzzy system reliability has been used. To analyze the fuzzy system reliability, the reliability of each component of the system as a triangular intuitionistic fuzzy number is considered. Triangular intuitionistic fuzzy number and their arithmetic operations are introduced. Expressions for computing the fuzzy reliability of a series system and a parallel system following triangular intuitionistic fuzzy numbers have been described. Here an imprecise reliability model of an electric network model of dark room is taken. To compute the imprecise reliability of the above said system, reliability of each component of the systems is represented by triangular intuitionistic fuzzy numbers. Respective numerical example is presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20set" title="Fuzzy set">Fuzzy set</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20number" title=" Intuitionistic fuzzy number"> Intuitionistic fuzzy number</a>, <a href="https://publications.waset.org/search?q=Systemreliability" title=" Systemreliability"> Systemreliability</a>, <a href="https://publications.waset.org/search?q=Triangular%20intuitionistic%20fuzzy%20number." title=" Triangular intuitionistic fuzzy number."> Triangular intuitionistic fuzzy number.</a> </p> <a href="https://publications.waset.org/10400/reliability-evaluation-using-triangular-intuitionistic-fuzzy-numbers-arithmetic-operations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10400/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10400/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10400/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10400/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10400/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10400/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10400/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10400/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10400/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10400/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10400.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3173</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1427</span> Aerial Firefighting Aircraft Selection with Standard Fuzzy Sets using Multiple Criteria Group Decision Making Analysis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20Ardil">C. Ardil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Aircraft selection decisions can be challenging due to their multidimensional and interdisciplinary nature. They involve multiple stakeholders with conflicting objectives and numerous alternative options with uncertain outcomes. This study focuses on the analysis of aerial firefighting aircraft that can be chosen for the Air Fire Service to extinguish forest fires. To make such a selection, the characteristics of the fire zones must be considered, and the capability to manage the logistics involved in such operations, as well as the purchase and maintenance of the aircraft, must be determined. The selection of firefighting aircraft is particularly complex because they have longer fleet lives and require more demanding operation and maintenance than scheduled passenger air service. This paper aims to use the fuzzy proximity measure method to select the most appropriate aerial firefighting aircraft based on decision criteria using multiple attribute decision making analysis. Following fuzzy decision analysis, the most suitable aerial firefighting aircraft is ranked and determined for the Air Fire Service.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Aerial%20firefighting%20aircraft%20selection" title="Aerial firefighting aircraft selection">Aerial firefighting aircraft selection</a>, <a href="https://publications.waset.org/search?q=multiple%20criteria%20decision%20making" title=" multiple criteria decision making"> multiple criteria decision making</a>, <a href="https://publications.waset.org/search?q=fuzzy%20sets" title=" fuzzy sets"> fuzzy sets</a>, <a href="https://publications.waset.org/search?q=standard%20fuzzy%20sets" title=" standard fuzzy sets"> standard fuzzy sets</a>, <a href="https://publications.waset.org/search?q=determinate%20fuzzy%20sets" title=" determinate fuzzy sets"> determinate fuzzy sets</a>, <a href="https://publications.waset.org/search?q=indeterminate%20fuzzy%20sets" title=" indeterminate fuzzy sets"> indeterminate fuzzy sets</a>, <a href="https://publications.waset.org/search?q=proximity%20measure%20method" title=" proximity measure method"> proximity measure method</a>, <a href="https://publications.waset.org/search?q=Minkowski%20distance%20family%20function" title=" Minkowski distance family function"> Minkowski distance family function</a>, <a href="https://publications.waset.org/search?q=Hausdorff%20distance%20function" title=" Hausdorff distance function"> Hausdorff distance function</a>, <a href="https://publications.waset.org/search?q=MCDM" title=" MCDM"> MCDM</a>, <a href="https://publications.waset.org/search?q=PMM" title=" PMM"> PMM</a>, <a href="https://publications.waset.org/search?q=PMM-F" title=" PMM-F"> PMM-F</a> </p> <a href="https://publications.waset.org/10013052/aerial-firefighting-aircraft-selection-with-standard-fuzzy-sets-using-multiple-criteria-group-decision-making-analysis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013052/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013052/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10013052/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10013052/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10013052/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10013052/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10013052/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10013052/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10013052/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10013052/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10013052.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">399</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1426</span> Fuzzy T-Neighborhood Groups Acting on Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hazem.%20A.%20Khorshed">Hazem. A. Khorshed</a>, <a href="https://publications.waset.org/search?q=Mostafa%20A.%20El%20Gendy"> Mostafa A. El Gendy</a>, <a href="https://publications.waset.org/search?q=Amer.%20Abd%20El-Razik"> Amer. Abd El-Razik</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, The T-G-action topology on a set acted on by a fuzzy T-neighborhood (T-neighborhood, for short) group is defined as a final T-neighborhood topology with respect to a set of maps. We mainly prove that this topology is a T-regular Tneighborhood topology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20set" title="Fuzzy set">Fuzzy set</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20topology" title=" Fuzzy topology"> Fuzzy topology</a>, <a href="https://publications.waset.org/search?q=Triangular%20norm" title=" Triangular norm"> Triangular norm</a>, <a href="https://publications.waset.org/search?q=Separation%20axioms." title="Separation axioms.">Separation axioms.</a> </p> <a href="https://publications.waset.org/1866/fuzzy-t-neighborhood-groups-acting-on-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1866/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/1866/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/1866/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/1866/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/1866/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/1866/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/1866/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/1866/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/1866/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/1866/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/1866.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1304</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1425</span> Determinate Fuzzy Set Ranking Analysis for Combat Aircraft Selection with Multiple Criteria Group Decision Making</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=C.%20Ardil">C. Ardil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Using the aid of Hausdorff distance function and Minkowski distance function, this study proposes a novel method for selecting combat aircraft for Air Force. In order to do this, the proximity measure method was developed with determinate fuzzy degrees based on the relationship between attributes and combat aircraft alternatives. The combat aircraft selection attributes were identified as payloadability, maneuverability, speedability, stealthability, and survivability. Determinate fuzzy data from the combat aircraft attributes was then aggregated using the determinate fuzzy weighted arithmetic average operator. For the selection of combat aircraft, correlation analysis of the ranking order patterns of options was also examined. A numerical example from military aviation is used to demonstrate the applicability and effectiveness of the proposed method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Combat%20aircraft%20selection" title="Combat aircraft selection">Combat aircraft selection</a>, <a href="https://publications.waset.org/search?q=multiple%20criteria%20decision%20making" title=" multiple criteria decision making"> multiple criteria decision making</a>, <a href="https://publications.waset.org/search?q=fuzzy%20sets" title=" fuzzy sets"> fuzzy sets</a>, <a href="https://publications.waset.org/search?q=determinate%20fuzzy%20sets" title=" determinate fuzzy sets"> determinate fuzzy sets</a>, <a href="https://publications.waset.org/search?q=intuitionistic%20fuzzy%20sets" title=" intuitionistic fuzzy sets"> intuitionistic fuzzy sets</a>, <a href="https://publications.waset.org/search?q=proximity%20measure%20method" title=" proximity measure method"> proximity measure method</a>, <a href="https://publications.waset.org/search?q=Hausdorff%20distance%20function" title=" Hausdorff distance function"> Hausdorff distance function</a>, <a href="https://publications.waset.org/search?q=Minkowski%20distance%20function" title=" Minkowski distance function"> Minkowski distance function</a>, <a href="https://publications.waset.org/search?q=PMM" title=" PMM"> PMM</a>, <a href="https://publications.waset.org/search?q=MCDM" title=" MCDM"> MCDM</a> </p> <a href="https://publications.waset.org/10013038/determinate-fuzzy-set-ranking-analysis-for-combat-aircraft-selection-with-multiple-criteria-group-decision-making" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10013038/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10013038/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10013038/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10013038/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10013038/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10013038/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10013038/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10013038/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10013038/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10013038/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10013038.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">355</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1424</span> Complex Fuzzy Evolution Equation with Nonlocal Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abdelati%20El%20Allaoui">Abdelati El Allaoui</a>, <a href="https://publications.waset.org/search?q=Said%20Melliani"> Said Melliani</a>, <a href="https://publications.waset.org/search?q=Lalla%20Saadia%20Chadli"> Lalla Saadia Chadli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evolution equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Complex%20fuzzy%20evolution%20equations" title="Complex fuzzy evolution equations">Complex fuzzy evolution equations</a>, <a href="https://publications.waset.org/search?q=nonlocal%0D%0Aconditions" title=" nonlocal conditions"> nonlocal conditions</a>, <a href="https://publications.waset.org/search?q=mild%20solution" title=" mild solution"> mild solution</a>, <a href="https://publications.waset.org/search?q=complex%20fuzzy%20semigroups." title=" complex fuzzy semigroups."> complex fuzzy semigroups.</a> </p> <a href="https://publications.waset.org/10006701/complex-fuzzy-evolution-equation-with-nonlocal-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006701/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006701/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006701/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006701/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006701/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006701/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006701/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006701/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006701/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006701/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006701.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1044</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1423</span> Liver Lesion Extraction with Fuzzy Thresholding in Contrast Enhanced Ultrasound Images</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abder-Rahman%20Ali">Abder-Rahman Ali</a>, <a href="https://publications.waset.org/search?q=Ad%C3%A9la%C3%AFde%20Albouy-Kissi"> Ad茅la茂de Albouy-Kissi</a>, <a href="https://publications.waset.org/search?q=Manuel%20Grand-Brochier"> Manuel Grand-Brochier</a>, <a href="https://publications.waset.org/search?q=Viviane%20Ladan-Marcus"> Viviane Ladan-Marcus</a>, <a href="https://publications.waset.org/search?q=Christine%20Hoeffl"> Christine Hoeffl</a>, <a href="https://publications.waset.org/search?q=Claude%20Marcus"> Claude Marcus</a>, <a href="https://publications.waset.org/search?q=Antoine%20Vacavant"> Antoine Vacavant</a>, <a href="https://publications.waset.org/search?q=Jean-Yves%20Boire"> Jean-Yves Boire</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present a new segmentation approach for focal liver lesions in contrast enhanced ultrasound imaging. This approach, based on a two-cluster Fuzzy C-Means methodology, considers type-II fuzzy sets to handle uncertainty due to the image modality (presence of speckle noise, low contrast, etc.), and to calculate the optimum inter-cluster threshold. Fine boundaries are detected by a local recursive merging of ambiguous pixels. The method has been tested on a representative database. Compared to both Otsu and type-I Fuzzy C-Means techniques, the proposed method significantly reduces the segmentation errors. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Defuzzification" title="Defuzzification">Defuzzification</a>, <a href="https://publications.waset.org/search?q=fuzzy%20clustering" title=" fuzzy clustering"> fuzzy clustering</a>, <a href="https://publications.waset.org/search?q=image%0D%0Asegmentation" title=" image segmentation"> image segmentation</a>, <a href="https://publications.waset.org/search?q=type-II%20fuzzy%20sets." title=" type-II fuzzy sets."> type-II fuzzy sets.</a> </p> <a href="https://publications.waset.org/10002261/liver-lesion-extraction-with-fuzzy-thresholding-in-contrast-enhanced-ultrasound-images" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002261/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002261/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002261/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002261/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002261/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002261/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002261/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002261/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002261/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002261/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002261.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2290</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1422</span> Automated Knowledge Engineering</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sandeep%20Chandana">Sandeep Chandana</a>, <a href="https://publications.waset.org/search?q=Rene%20V.%20Mayorga"> Rene V. Mayorga</a>, <a href="https://publications.waset.org/search?q=Christine%20W.%20Chan"> Christine W. Chan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article outlines conceptualization and implementation of an intelligent system capable of extracting knowledge from databases. Use of hybridized features of both the Rough and Fuzzy Set theory render the developed system flexibility in dealing with discreet as well as continuous datasets. A raw data set provided to the system, is initially transformed in a computer legible format followed by pruning of the data set. The refined data set is then processed through various Rough Set operators which enable discovery of parameter relationships and interdependencies. The discovered knowledge is automatically transformed into a rule base expressed in Fuzzy terms. Two exemplary cancer repository datasets (for Breast and Lung Cancer) have been used to test and implement the proposed framework. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Knowledge%20Extraction" title="Knowledge Extraction">Knowledge Extraction</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20Sets" title=" Fuzzy Sets"> Fuzzy Sets</a>, <a href="https://publications.waset.org/search?q=Rough%20Sets" title=" Rough Sets"> Rough Sets</a>, <a href="https://publications.waset.org/search?q=Neuro%E2%80%93Fuzzy%20Systems" title=" Neuro鈥揊uzzy Systems"> Neuro鈥揊uzzy Systems</a>, <a href="https://publications.waset.org/search?q=Databases" title=" Databases"> Databases</a> </p> <a href="https://publications.waset.org/452/automated-knowledge-engineering" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/452/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/452/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/452/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/452/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/452/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/452/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/452/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/452/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/452/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/452/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/452.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1787</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1421</span> A Family of Entropies on Interval-valued Intuitionistic Fuzzy Sets and Their Applications in Multiple Attribute Decision Making</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Min%20Sun">Min Sun</a>, <a href="https://publications.waset.org/search?q=Jing%20Liu"> Jing Liu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The entropy of intuitionistic fuzzy sets is used to indicate the degree of fuzziness of an interval-valued intuitionistic fuzzy set(IvIFS). In this paper, we deal with the entropies of IvIFS. Firstly, we propose a family of entropies on IvIFS with a parameter λ ∈ [0, 1], which generalize two entropy measures defined independently by Zhang and Wei, for IvIFS, and then we prove that the new entropy is an increasing function with respect to the parameter λ. Furthermore, a new multiple attribute decision making (MADM) method using entropy-based attribute weights is proposed to deal with the decision making situations where the alternatives on attributes are expressed by IvIFS and the attribute weights information is unknown. Finally, a numerical example is given to illustrate the applications of the proposed method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Interval-valued%20intuitionistic%20fuzzy%20sets" title="Interval-valued intuitionistic fuzzy sets">Interval-valued intuitionistic fuzzy sets</a>, <a href="https://publications.waset.org/search?q=intervalvalued%0D%0Aintuitionistic%20fuzzy%20entropy" title=" intervalvalued intuitionistic fuzzy entropy"> intervalvalued intuitionistic fuzzy entropy</a>, <a href="https://publications.waset.org/search?q=multiple%20attribute%20decision%20making" title=" multiple attribute decision making"> multiple attribute decision making</a> </p> <a href="https://publications.waset.org/16791/a-family-of-entropies-on-interval-valued-intuitionistic-fuzzy-sets-and-their-applications-in-multiple-attribute-decision-making" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16791/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16791/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16791/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16791/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16791/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16791/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16791/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16791/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16791/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16791/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16791.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1647</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1420</span> A Novel Modified Adaptive Fuzzy Inference Engine and Its Application to Pattern Classification</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.%20Hossen">J. Hossen</a>, <a href="https://publications.waset.org/search?q=A.%20Rahman"> A. Rahman</a>, <a href="https://publications.waset.org/search?q=K.%20Samsudin"> K. Samsudin</a>, <a href="https://publications.waset.org/search?q=F.%20Rokhani"> F. Rokhani</a>, <a href="https://publications.waset.org/search?q=S.%20Sayeed"> S. Sayeed</a>, <a href="https://publications.waset.org/search?q=R.%20Hasan"> R. Hasan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Neuro-Fuzzy hybridization scheme has become of research interest in pattern classification over the past decade. The present paper proposes a novel Modified Adaptive Fuzzy Inference Engine (MAFIE) for pattern classification. A modified Apriori algorithm technique is utilized to reduce a minimal set of decision rules based on input output data sets. A TSK type fuzzy inference system is constructed by the automatic generation of membership functions and rules by the fuzzy c-means clustering and Apriori algorithm technique, respectively. The generated adaptive fuzzy inference engine is adjusted by the least-squares fit and a conjugate gradient descent algorithm towards better performance with a minimal set of rules. The proposed MAFIE is able to reduce the number of rules which increases exponentially when more input variables are involved. The performance of the proposed MAFIE is compared with other existing applications of pattern classification schemes using Fisher-s Iris and Wisconsin breast cancer data sets and shown to be very competitive. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Apriori%20algorithm" title="Apriori algorithm">Apriori algorithm</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20C-means" title=" Fuzzy C-means"> Fuzzy C-means</a>, <a href="https://publications.waset.org/search?q=MAFIE" title=" MAFIE"> MAFIE</a>, <a href="https://publications.waset.org/search?q=TSK" title=" TSK"> TSK</a> </p> <a href="https://publications.waset.org/12119/a-novel-modified-adaptive-fuzzy-inference-engine-and-its-application-to-pattern-classification" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12119/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12119/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12119/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12119/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12119/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12119/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12119/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12119/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12119/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12119/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12119.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1931</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1419</span> A Diagnostic Fuzzy Rule-Based System for Congenital Heart Disease</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ersin%20Kaya">Ersin Kaya</a>, <a href="https://publications.waset.org/search?q=Bulent%20Oran"> Bulent Oran</a>, <a href="https://publications.waset.org/search?q=Ahmet%20Arslan"> Ahmet Arslan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, fuzzy rule-based classifier is used for the diagnosis of congenital heart disease. Congenital heart diseases are defined as structural or functional heart disease. Medical data sets were obtained from Pediatric Cardiology Department at Selcuk University, from years 2000 to 2003. Firstly, fuzzy rules were generated by using medical data. Then the weights of fuzzy rules were calculated. Two different reasoning methods as 鈥渨eighted vote method" and 鈥渟ingles winner method" were used in this study. The results of fuzzy classifiers were compared. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Congenital%20heart%20disease" title="Congenital heart disease">Congenital heart disease</a>, <a href="https://publications.waset.org/search?q=Fuzzy%20rule-basedclassifiers" title=" Fuzzy rule-basedclassifiers"> Fuzzy rule-basedclassifiers</a>, <a href="https://publications.waset.org/search?q=Classification" title=" Classification"> Classification</a> </p> <a href="https://publications.waset.org/6204/a-diagnostic-fuzzy-rule-based-system-for-congenital-heart-disease" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6204/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6204/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6204/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6204/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6204/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6204/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6204/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6204/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6204/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6204/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6204.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1821</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1418</span> Best Co-approximation and Best Simultaneous Co-approximation in Fuzzy Normed Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=J.%20Kavikumar">J. Kavikumar</a>, <a href="https://publications.waset.org/search?q=N.%20S.%20Manian"> N. S. Manian</a>, <a href="https://publications.waset.org/search?q=M.B.K.%20Moorthy"> M.B.K. Moorthy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The main purpose of this paper is to consider the t-best co-approximation and t-best simultaneous co-approximation in fuzzy normed spaces. We develop the theory of t-best co-approximation and t-best simultaneous co-approximation in quotient spaces. This new concept is employed us to improve various characterisations of t-co-proximinal and t-co-Chebyshev sets.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20best%20co-approximation" title="Fuzzy best co-approximation">Fuzzy best co-approximation</a>, <a href="https://publications.waset.org/search?q=fuzzy%20quotient%20spaces" title=" fuzzy quotient spaces"> fuzzy quotient spaces</a>, <a href="https://publications.waset.org/search?q=proximinality" title=" proximinality"> proximinality</a>, <a href="https://publications.waset.org/search?q=Chebyshevity" title=" Chebyshevity"> Chebyshevity</a>, <a href="https://publications.waset.org/search?q=best%20simultaneous%20co-approximation." title=" best simultaneous co-approximation."> best simultaneous co-approximation.</a> </p> <a href="https://publications.waset.org/9997819/best-co-approximation-and-best-simultaneous-co-approximation-in-fuzzy-normed-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997819/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997819/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997819/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997819/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997819/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997819/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997819/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997819/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997819/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997819/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997819.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1614</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1417</span> On the Noise Distance in Robust Fuzzy C-Means </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20G.%20C.%20A.%20Cimino">M. G. C. A. Cimino</a>, <a href="https://publications.waset.org/search?q=G.%20Frosini"> G. Frosini</a>, <a href="https://publications.waset.org/search?q=B.%20Lazzerini"> B. Lazzerini</a>, <a href="https://publications.waset.org/search?q=F.%20Marcelloni"> F. Marcelloni</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the last decades, a number of robust fuzzy clustering algorithms have been proposed to partition data sets affected by noise and outliers. Robust fuzzy C-means (robust-FCM) is certainly one of the most known among these algorithms. In robust-FCM, noise is modeled as a separate cluster and is characterized by a prototype that has a constant distance 未 from all data points. Distance 未 determines the boundary of the noise cluster and therefore is a critical parameter of the algorithm. Though some approaches have been proposed to automatically determine the most suitable 未 for the specific application, up to today an efficient and fully satisfactory solution does not exist. The aim of this paper is to propose a novel method to compute the optimal 未 based on the analysis of the distribution of the percentage of objects assigned to the noise cluster in repeated executions of the robust-FCM with decreasing values of 未 . The extremely encouraging results obtained on some data sets found in the literature are shown and discussed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=noise%20prototype" title="noise prototype">noise prototype</a>, <a href="https://publications.waset.org/search?q=robust%20fuzzy%20clustering" title=" robust fuzzy clustering"> robust fuzzy clustering</a>, <a href="https://publications.waset.org/search?q=robustfuzzy%20C-means" title=" robustfuzzy C-means"> robustfuzzy C-means</a> </p> <a href="https://publications.waset.org/4164/on-the-noise-distance-in-robust-fuzzy-c-means" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4164/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4164/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4164/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4164/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4164/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4164/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4164/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4164/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4164/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4164/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4164.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1822</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1416</span> Evolution of Performance Measurement Methods in Conditions of Uncertainty: The Implementation of Fuzzy Sets in Performance Measurement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=E.%20A.%20Tkachenko">E. A. Tkachenko</a>, <a href="https://publications.waset.org/search?q=E.%20M.%20Rogova"> E. M. Rogova</a>, <a href="https://publications.waset.org/search?q=V.%20V.%20Klimov"> V. V. Klimov</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>One of the basic issues of development management is connected with performance measurement as a prerequisite for identifying the achievement of development objectives. The aim of our research is to develop an improved model of assessing a company’s development results. The model should take into account the cyclical nature of development and the high degree of uncertainty in dealing with numerous management tasks. Our hypotheses may be formulated as follows: Hypothesis 1. The cycle of a company’s development may be studied from the standpoint of a project cycle. To do that, methods and tools of project analysis are to be used. Hypothesis 2. The problem of the uncertainty when justifying managerial decisions within the framework of a company’s development cycle can be solved through the use of the mathematical apparatus of fuzzy logic. The reasoned justification of the validity of the hypotheses made is given in the suggested article. The fuzzy logic toolkit applies to the case of technology shift within an enterprise. It is proven that some restrictions in performance measurement that are incurred to conventional methods could be eliminated by implementation of the fuzzy logic apparatus in performance measurement models.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20logic" title="Fuzzy logic">Fuzzy logic</a>, <a href="https://publications.waset.org/search?q=fuzzy%20sets" title=" fuzzy sets"> fuzzy sets</a>, <a href="https://publications.waset.org/search?q=performance%20measurement" title=" performance measurement"> performance measurement</a>, <a href="https://publications.waset.org/search?q=project%20analysis." title=" project analysis."> project analysis.</a> </p> <a href="https://publications.waset.org/10005751/evolution-of-performance-measurement-methods-in-conditions-of-uncertainty-the-implementation-of-fuzzy-sets-in-performance-measurement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10005751/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10005751/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10005751/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10005751/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10005751/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10005751/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10005751/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10005751/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10005751/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10005751/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10005751.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1078</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1415</span> A New Approach For Ranking Of Generalized Trapezoidal Fuzzy Numbers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Amit%20Kumar">Amit Kumar</a>, <a href="https://publications.waset.org/search?q=Pushpinder%20Singh"> Pushpinder Singh</a>, <a href="https://publications.waset.org/search?q=Parampreet%20Kaur"> Parampreet Kaur</a>, <a href="https://publications.waset.org/search?q=Amarpreet%20Kaur"> Amarpreet Kaur</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting etc. Fuzzy numbers must be ranked before an action is taken by a decision maker. In this paper, with the help of several counter examples it is proved that ranking method proposed by Chen and Chen (Expert Systems with Applications 36 (2009) 6833-6842) is incorrect. The main aim of this paper is to propose a new approach for the ranking of generalized trapezoidal fuzzy numbers. The main advantage of the proposed approach is that the proposed approach provide the correct ordering of generalized and normal trapezoidal fuzzy numbers and also the proposed approach is very simple and easy to apply in the real life problems. It is shown that proposed ranking function satisfies all the reasonable properties of fuzzy quantities proposed by Wang and Kerre (Fuzzy Sets and Systems 118 (2001) 375-385). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ranking%20function" title="Ranking function">Ranking function</a>, <a href="https://publications.waset.org/search?q=Generalized%20trapezoidal%20fuzzy%20numbers" title=" Generalized trapezoidal fuzzy numbers"> Generalized trapezoidal fuzzy numbers</a> </p> <a href="https://publications.waset.org/14411/a-new-approach-for-ranking-of-generalized-trapezoidal-fuzzy-numbers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14411/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14411/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14411/chicago" 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