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entropy.</title> <meta name="description" content="Search results for: topological entropy."> <meta name="keywords" content="topological entropy."> <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 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action="https://publications.waset.org/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="topological entropy."> <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> 279</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: topological entropy.</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">279</span> Complexity of Multivalued Maps</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=David%20Sherwell">David Sherwell</a>, <a href="https://publications.waset.org/search?q=Vivien%20Visaya"> Vivien Visaya</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the topological entropy of maps that in general, cannot be described by one-dimensional dynamics. In particular, we show that for a multivalued map F generated by singlevalued maps, the topological entropy of any of the single-value map bounds the topological entropy of F from below. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Multivalued%20maps" title="Multivalued maps">Multivalued maps</a>, <a href="https://publications.waset.org/search?q=Topological%20entropy" title=" Topological entropy"> Topological entropy</a>, <a href="https://publications.waset.org/search?q=Selectors" title=" Selectors"> Selectors</a> </p> <a href="https://publications.waset.org/3491/complexity-of-multivalued-maps" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3491/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3491/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3491/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3491/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3491/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3491/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3491/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3491/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3491/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3491/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3491.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">1251</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">278</span> An Alternative Proof for the Topological Entropy of the Motzkin Shift</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fahad%20Alsharari">Fahad Alsharari</a>, <a href="https://publications.waset.org/search?q=Mohd%20Salmi%20Md%20Noorani"> Mohd Salmi Md Noorani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>A Motzkin shift is a mathematical model for constraints on genetic sequences. In terms of the theory of symbolic dynamics, the Motzkin shift is nonsofic, and therefore, we cannot use the Perron- Frobenius theory to calculate its topological entropy. The Motzkin shift M(M,N) which comes from language theory, is defined to be the shift system over an alphabet A that consists of N negative symbols, N positive symbols and M neutral symbols. For an x in the full shift, x will be in the Motzkin subshift M(M,N) if and only if every finite block appearing in x has a non-zero reduced form. Therefore, the constraint for x cannot be bounded in length. K. Inoue has shown that the entropy of the Motzkin shift M(M,N) is log(M + N + 1). In this paper, a new direct method of calculating the topological entropy of the Motzkin shift is given without any measure theoretical discussion.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Motzkin%20shift" title="Motzkin shift">Motzkin shift</a>, <a href="https://publications.waset.org/search?q=topological%20entropy." title=" topological entropy."> topological entropy.</a> </p> <a href="https://publications.waset.org/10000537/an-alternative-proof-for-the-topological-entropy-of-the-motzkin-shift" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10000537/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10000537/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10000537/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10000537/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10000537/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10000537/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10000537/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10000537/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10000537/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10000537/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10000537.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">2012</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">277</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">2856</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">276</span> The Countabilities of Soft Topological Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Weijian%20Rong">Weijian Rong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Soft topological spaces are considered as mathematical tools for dealing with uncertainties, and a fuzzy topological space is a special case of the soft topological space. The purpose of this paper is to study soft topological spaces. We introduce some new concepts in soft topological spaces such as soft first-countable spaces, soft second-countable spaces and soft separable spaces, and some basic properties of these concepts are explored.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=soft%20sets" title="soft sets">soft sets</a>, <a href="https://publications.waset.org/search?q=soft%20first-countable%20spaces" title=" soft first-countable spaces"> soft first-countable spaces</a>, <a href="https://publications.waset.org/search?q=soft%20second%20countable%0D%0Aspaces" title=" soft second countable spaces"> soft second countable spaces</a>, <a href="https://publications.waset.org/search?q=soft%20separable%20spaces" title=" soft separable spaces"> soft separable spaces</a>, <a href="https://publications.waset.org/search?q=soft%20Lindel%C3%B6f." title=" soft Lindelöf."> soft Lindelöf.</a> </p> <a href="https://publications.waset.org/14087/the-countabilities-of-soft-topological-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14087/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14087/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14087/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14087/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14087/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14087/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14087/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14087/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14087/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14087/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14087.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">2417</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">275</span> Normalization and Constrained Optimization of Measures of Fuzzy Entropy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=K.C.%20Deshmukh">K.C. Deshmukh</a>, <a href="https://publications.waset.org/search?q=P.G.%20Khot"> P.G. Khot</a>, <a href="https://publications.waset.org/search?q=Nikhil"> Nikhil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the literature of information theory, there is necessity for comparing the different measures of fuzzy entropy and this consequently, gives rise to the need for normalizing measures of fuzzy entropy. In this paper, we have discussed this need and hence developed some normalized measures of fuzzy entropy. It is also desirable to maximize entropy and to minimize directed divergence or distance. Keeping in mind this idea, we have explained the method of optimizing different measures of fuzzy entropy. <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=Uncertainty" title=" Uncertainty"> Uncertainty</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=Normalization" title="Normalization">Normalization</a>, <a href="https://publications.waset.org/search?q=Membership%20function" title=" Membership function"> Membership function</a> </p> <a href="https://publications.waset.org/8541/normalization-and-constrained-optimization-of-measures-of-fuzzy-entropy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8541/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8541/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8541/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8541/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8541/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8541/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8541/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8541/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8541/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8541/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8541.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">1473</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">274</span> Soft Connected Spaces and Soft Paracompact Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Fucai%20Lin">Fucai Lin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Soft topological spaces are considered as mathematical tools for dealing with uncertainties, and a fuzzy topological space is a special case of the soft topological space. The purpose of this paper is to study soft topological spaces. We introduce some new concepts in soft topological spaces such as soft closed mapping, soft open mappings, soft connected spaces and soft paracompact spaces. We also redefine the concept of soft points such that it is reasonable in soft topological spaces. Moreover, some basic properties of these concepts are explored.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=soft%20sets" title="soft sets">soft sets</a>, <a href="https://publications.waset.org/search?q=soft%20open%20mappings" title=" soft open mappings"> soft open mappings</a>, <a href="https://publications.waset.org/search?q=soft%20closed%20mappings" title=" soft closed mappings"> soft closed mappings</a>, <a href="https://publications.waset.org/search?q=soft%20connected%20spaces" title=" soft connected spaces"> soft connected spaces</a>, <a href="https://publications.waset.org/search?q=soft%20paracompact%20spaces." title=" soft paracompact spaces."> soft paracompact spaces.</a> </p> <a href="https://publications.waset.org/16768/soft-connected-spaces-and-soft-paracompact-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16768/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16768/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16768/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16768/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16768/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16768/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16768/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16768/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16768/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16768/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16768.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">2049</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">273</span> Entropy Measures on Neutrosophic Soft Sets and Its Application in Multi Attribute Decision Making</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=I.%20Arockiarani">I. Arockiarani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The focus of the paper is to furnish the entropy measure for a neutrosophic set and neutrosophic soft set which is a measure of uncertainty and it permeates discourse and system. Various characterization of entropy measures are derived. Further we exemplify this concept by applying entropy in various real time decision making problems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Entropy%20measure" title="Entropy measure">Entropy measure</a>, <a href="https://publications.waset.org/search?q=Hausdorff%20distance" title=" Hausdorff distance"> Hausdorff distance</a>, <a href="https://publications.waset.org/search?q=neutrosophic%0D%0Aset" title=" neutrosophic set"> neutrosophic set</a>, <a href="https://publications.waset.org/search?q=soft%20set." title=" soft set."> soft set.</a> </p> <a href="https://publications.waset.org/10006879/entropy-measures-on-neutrosophic-soft-sets-and-its-application-in-multi-attribute-decision-making" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006879/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006879/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006879/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006879/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006879/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006879/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006879/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006879/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006879/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006879/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006879.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">934</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">272</span> Structure of Covering-based Rough Sets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shiping%20Wang">Shiping Wang</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a>, <a href="https://publications.waset.org/search?q=William%20Zhu"> William Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Rough set theory is a very effective tool to deal with granularity and vagueness in information systems. Covering-based rough set theory is an extension of classical rough set theory. In this paper, firstly we present the characteristics of the reducible element and the minimal description covering-based rough sets through downsets. Then we establish lattices and topological spaces in coveringbased rough sets through down-sets and up-sets. In this way, one can investigate covering-based rough sets from algebraic and topological points of view.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Covering" title="Covering">Covering</a>, <a href="https://publications.waset.org/search?q=poset" title=" poset"> poset</a>, <a href="https://publications.waset.org/search?q=down-set" title=" down-set"> down-set</a>, <a href="https://publications.waset.org/search?q=lattice" title=" lattice"> lattice</a>, <a href="https://publications.waset.org/search?q=topological%20space" title=" topological space"> topological space</a>, <a href="https://publications.waset.org/search?q=topological%20base." title=" topological base."> topological base.</a> </p> <a href="https://publications.waset.org/13163/structure-of-covering-based-rough-sets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13163/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13163/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13163/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13163/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13163/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13163/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13163/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13163/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13163/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13163/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13163.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">1850</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">271</span> Extending the Quantum Entropy to Multidimensional Signal Processing</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Youssef%20Khmou">Youssef Khmou</a>, <a href="https://publications.waset.org/search?q=Said%20Safi"> Said Safi</a>, <a href="https://publications.waset.org/search?q=Miloud%20Frikel"> Miloud Frikel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper treats different aspects of entropy measure in classical information theory and statistical quantum mechanics, it presents the possibility of extending the definition of Von Neumann entropy to image and array processing. In the first part, we generalize the quantum entropy using singular values of arbitrary rectangular matrices to measure the randomness and the quality of denoising operation, this new definition of entropy can be implemented to compare the performance analysis of filtering methods. In the second part, we apply the concept of pure state in quantum formalism to generalize the maximum entropy method for narrowband and farfield source localization problem. Several computer simulation results are illustrated to demonstrate the effectiveness of the proposed techniques. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Von%20Neumann%20entropy" title="Von Neumann entropy">Von Neumann entropy</a>, <a href="https://publications.waset.org/search?q=Filtering" title=" Filtering"> Filtering</a>, <a href="https://publications.waset.org/search?q=array" title=" array"> array</a>, <a href="https://publications.waset.org/search?q=DoA" title=" DoA"> DoA</a>, <a href="https://publications.waset.org/search?q=Maximum%20Entropy%20Method." title=" Maximum Entropy Method."> Maximum Entropy Method.</a> </p> <a href="https://publications.waset.org/10002278/extending-the-quantum-entropy-to-multidimensional-signal-processing" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002278/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002278/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002278/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002278/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002278/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002278/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002278/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002278/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002278/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002278/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002278.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">2506</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">270</span> Topological Queries on Graph-structured XML Data: Models and Implementations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hongzhi%20Wang">Hongzhi Wang</a>, <a href="https://publications.waset.org/search?q=Jianzhong%20Li"> Jianzhong Li</a>, <a href="https://publications.waset.org/search?q=Jizhou%20Luo"> Jizhou Luo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In many applications, data is in graph structure, which can be naturally represented as graph-structured XML. Existing queries defined on tree-structured and graph-structured XML data mainly focus on subgraph matching, which can not cover all the requirements of querying on graph. In this paper, a new kind of queries, topological query on graph-structured XML is presented. This kind of queries consider not only the structure of subgraph but also the topological relationship between subgraphs. With existing subgraph query processing algorithms, efficient algorithms for topological query processing are designed. Experimental results show the efficiency of implementation algorithms. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=XML" title="XML">XML</a>, <a href="https://publications.waset.org/search?q=Graph%20Structure" title=" Graph Structure"> Graph Structure</a>, <a href="https://publications.waset.org/search?q=Topological%20query." title=" Topological query."> Topological query.</a> </p> <a href="https://publications.waset.org/6527/topological-queries-on-graph-structured-xml-data-models-and-implementations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6527/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6527/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6527/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6527/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6527/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6527/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6527/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6527/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6527/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6527/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6527.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">1414</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">269</span> Reasons for Non-Applicability of Software Entropy Metrics for Bug Prediction in Android </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Arvinder%20Kaur">Arvinder Kaur</a>, <a href="https://publications.waset.org/search?q=Deepti%20Chopra"> Deepti Chopra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Software Entropy Metrics for bug prediction have been validated on various software systems by different researchers. In our previous research, we have validated that Software Entropy Metrics calculated for Mozilla subsystem’s predict the future bugs reasonably well. In this study, the Software Entropy metrics are calculated for a subsystem of Android and it is noticed that these metrics are not suitable for bug prediction. The results are compared with a subsystem of Mozilla and a comparison is made between the two software systems to determine the reasons why Software Entropy metrics are not applicable for Android.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Android" title="Android">Android</a>, <a href="https://publications.waset.org/search?q=bug%20prediction" title=" bug prediction"> bug prediction</a>, <a href="https://publications.waset.org/search?q=mining%20software%20repositories" title=" mining software repositories"> mining software repositories</a>, <a href="https://publications.waset.org/search?q=Software%20Entropy." title=" Software Entropy."> Software Entropy.</a> </p> <a href="https://publications.waset.org/10004780/reasons-for-non-applicability-of-software-entropy-metrics-for-bug-prediction-in-android" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004780/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004780/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004780/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004780/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004780/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004780/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004780/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004780/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004780/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004780/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004780.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">1093</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">268</span> Analysis of EEG Signals Using Wavelet Entropy and Approximate Entropy: A Case Study on Depression Patients </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Subha%20D.%20Puthankattil">Subha D. Puthankattil</a>, <a href="https://publications.waset.org/search?q=Paul%20K.%20Joseph"> Paul K. Joseph</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Analyzing brain signals of the patients suffering from the state of depression may lead to interesting observations in the signal parameters that is quite different from a normal control. The present study adopts two different methods: Time frequency domain and nonlinear method for the analysis of EEG signals acquired from depression patients and age and sex matched normal controls. The time frequency domain analysis is realized using wavelet entropy and approximate entropy is employed for the nonlinear method of analysis. The ability of the signal processing technique and the nonlinear method in differentiating the physiological aspects of the brain state are revealed using Wavelet entropy and Approximate entropy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=EEG" title="EEG">EEG</a>, <a href="https://publications.waset.org/search?q=Depression" title=" Depression"> Depression</a>, <a href="https://publications.waset.org/search?q=Wavelet%20entropy" title=" Wavelet entropy"> Wavelet entropy</a>, <a href="https://publications.waset.org/search?q=Approximate%20entropy" title=" Approximate entropy"> Approximate entropy</a>, <a href="https://publications.waset.org/search?q=Relative%20Wavelet%20energy" title=" Relative Wavelet energy"> Relative Wavelet energy</a>, <a href="https://publications.waset.org/search?q=Multiresolution%20decomposition." title=" Multiresolution decomposition."> Multiresolution decomposition.</a> </p> <a href="https://publications.waset.org/9999038/analysis-of-eeg-signals-using-wavelet-entropy-and-approximate-entropy-a-case-study-on-depression-patients" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999038/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999038/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999038/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999038/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999038/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999038/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999038/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999038/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999038/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999038/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999038.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">3640</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">267</span> Topological Sensitivity Analysis for Reconstruction of the Inverse Source Problem from Boundary Measurement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Maatoug%20Hassine">Maatoug Hassine</a>, <a href="https://publications.waset.org/search?q=Mourad%20Hrizi"> Mourad Hrizi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider a geometric inverse source problem for the heat equation with Dirichlet and Neumann boundary data. We will reconstruct the exact form of the unknown source term from additional boundary conditions. Our motivation is to detect the location, the size and the shape of source support. We present a one-shot algorithm based on the Kohn-Vogelius formulation and the topological gradient method. The geometric inverse source problem is formulated as a topology optimization one. A topological sensitivity analysis is derived from a source function. Then, we present a non-iterative numerical method for the geometric reconstruction of the source term with unknown support using a level curve of the topological gradient. Finally, we give several examples to show the viability of our presented method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Geometric%20inverse%20source%20problem" title="Geometric inverse source problem">Geometric inverse source problem</a>, <a href="https://publications.waset.org/search?q=heat%20equation" title=" heat equation"> heat equation</a>, <a href="https://publications.waset.org/search?q=topological%20sensitivity" title=" topological sensitivity"> topological sensitivity</a>, <a href="https://publications.waset.org/search?q=topological%20optimization" title=" topological optimization"> topological optimization</a>, <a href="https://publications.waset.org/search?q=Kohn-Vogelius%0D%0Aformulation." title=" Kohn-Vogelius formulation."> Kohn-Vogelius formulation.</a> </p> <a href="https://publications.waset.org/10006334/topological-sensitivity-analysis-for-reconstruction-of-the-inverse-source-problem-from-boundary-measurement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10006334/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10006334/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10006334/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10006334/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10006334/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10006334/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10006334/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10006334/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10006334/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10006334/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10006334.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">1119</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">266</span> Codes and Formulation of Appropriate Constraints via Entropy Measures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=R.%20K.%20Tuli">R. K. Tuli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In present communication, we have developed the suitable constraints for the given the mean codeword length and the measures of entropy. This development has proved that Renyi-s entropy gives the minimum value of the log of the harmonic mean and the log of power mean. We have also developed an important relation between best 1:1 code and the uniquely decipherable code by using different measures of entropy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Codeword" title="Codeword">Codeword</a>, <a href="https://publications.waset.org/search?q=Instantaneous%20code" title=" Instantaneous code"> Instantaneous code</a>, <a href="https://publications.waset.org/search?q=Prefix%20code" title=" Prefix code"> Prefix code</a>, <a href="https://publications.waset.org/search?q=Uniquely%20decipherable%20code" title="Uniquely decipherable code">Uniquely decipherable code</a>, <a href="https://publications.waset.org/search?q=Best%20one-one%20code" title=" Best one-one code"> Best one-one code</a>, <a href="https://publications.waset.org/search?q=Mean%20codewordlength" title=" Mean codewordlength"> Mean codewordlength</a> </p> <a href="https://publications.waset.org/927/codes-and-formulation-of-appropriate-constraints-via-entropy-measures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/927/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/927/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/927/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/927/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/927/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/927/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/927/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/927/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/927/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/927/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/927.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">1299</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">265</span> Entropy Generation for Natural Convection in a Darcy – Brinkman Porous Cavity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ali%20Mchirgui">Ali Mchirgui</a>, <a href="https://publications.waset.org/search?q=Nejib%20Hidouri"> Nejib Hidouri</a>, <a href="https://publications.waset.org/search?q=Mourad%20Magherbi"> Mourad Magherbi</a>, <a href="https://publications.waset.org/search?q=Ammar%20Ben%20Brahim"> Ammar Ben Brahim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The paper provides a numerical investigation of the entropy generation analysis due to natural convection in an inclined square porous cavity. The coupled equations of mass, momentum, energy and species conservation are solved using the Control Volume Finite-Element Method. Effect of medium permeability and inclination angle on entropy generation is analysed. It was found that according to the Darcy number and the porous thermal Raleigh number values, the entropy generation could be mainly due to heat transfer or to fluid friction irreversibility and that entropy generation reaches extremum values for specific inclination angles. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Porous%20media" title="Porous media">Porous media</a>, <a href="https://publications.waset.org/search?q=entropy%20generation" title=" entropy generation"> entropy generation</a>, <a href="https://publications.waset.org/search?q=convection" title=" convection"> convection</a>, <a href="https://publications.waset.org/search?q=numerical%20method." title=" numerical method."> numerical method.</a> </p> <a href="https://publications.waset.org/8320/entropy-generation-for-natural-convection-in-a-darcy-brinkman-porous-cavity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8320/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8320/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8320/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8320/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8320/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8320/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8320/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8320/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8320/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8320/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8320.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">2608</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">264</span> Assessing Complexity of Neuronal Multiunit Activity by Information Theoretic Measure</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Young-Seok%20Choi">Young-Seok Choi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper provides a quantitative measure of the time-varying multiunit neuronal spiking activity using an entropy based approach. To verify the status embedded in the neuronal activity of a population of neurons, the discrete wavelet transform (DWT) is used to isolate the inherent spiking activity of MUA. Due to the de-correlating property of DWT, the spiking activity would be preserved while reducing the non-spiking component. By evaluating the entropy of the wavelet coefficients of the de-noised MUA, a multiresolution Shannon entropy (MRSE) of the MUA signal is developed. The proposed entropy was tested in the analysis of both simulated noisy MUA and actual MUA recorded from cortex in rodent model. Simulation and experimental results demonstrate that the dynamics of a population can be quantified by using the proposed entropy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20wavelet%20transform" title="Discrete wavelet transform">Discrete wavelet transform</a>, <a href="https://publications.waset.org/search?q=Entropy" title=" Entropy"> Entropy</a>, <a href="https://publications.waset.org/search?q=Multiresolution" title=" Multiresolution"> Multiresolution</a>, <a href="https://publications.waset.org/search?q=Multiunit%20activity." title=" Multiunit activity."> Multiunit activity.</a> </p> <a href="https://publications.waset.org/10001224/assessing-complexity-of-neuronal-multiunit-activity-by-information-theoretic-measure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001224/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001224/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001224/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001224/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001224/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001224/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001224/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001224/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001224/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001224/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001224.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">1845</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">263</span> Elemental Graph Data Model: A Semantic and Topological Representation of Building Elements</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Yasmeen%20A.%20S.%20Essawy">Yasmeen A. S. Essawy</a>, <a href="https://publications.waset.org/search?q=Khaled%20Nassar"> Khaled Nassar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>With the rapid increase of complexity in the building industry, professionals in the A/E/C industry were forced to adopt Building Information Modeling (BIM) in order to enhance the communication between the different project stakeholders throughout the project life cycle and create a semantic object-oriented building model that can support geometric-topological analysis of building elements during design and construction. This paper presents a model that extracts topological relationships and geometrical properties of building elements from an existing fully designed BIM, and maps this information into a directed acyclic Elemental Graph Data Model (EGDM). The model incorporates BIM-based search algorithms for automatic deduction of geometrical data and topological relationships for each building element type. Using graph search algorithms, such as Depth First Search (DFS) and topological sortings, all possible construction sequences can be generated and compared against production and construction rules to generate an optimized construction sequence and its associated schedule. The model is implemented in a C# platform.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Building%20information%20modeling" title="Building information modeling">Building information modeling</a>, <a href="https://publications.waset.org/search?q=elemental%20graph%20data%20model" title=" elemental graph data model"> elemental graph data model</a>, <a href="https://publications.waset.org/search?q=geometric%20and%20topological%20data%20models" title=" geometric and topological data models"> geometric and topological data models</a>, <a href="https://publications.waset.org/search?q=and%20graph%20theory." title=" and graph theory."> and graph theory.</a> </p> <a href="https://publications.waset.org/10007928/elemental-graph-data-model-a-semantic-and-topological-representation-of-building-elements" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10007928/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10007928/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10007928/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10007928/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10007928/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10007928/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10007928/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10007928/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10007928/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10007928/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10007928.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">1204</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">262</span> Maximum Entropy Based Image Segmentation of Human Skin Lesion </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sheema%20Shuja%20Khattak">Sheema Shuja Khattak</a>, <a href="https://publications.waset.org/search?q=Gule%20Saman"> Gule Saman</a>, <a href="https://publications.waset.org/search?q=Imran%20Khan"> Imran Khan</a>, <a href="https://publications.waset.org/search?q=Abdus%20Salam"> Abdus Salam</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Image segmentation plays an important role in medical imaging applications. Therefore, accurate methods are needed for the successful segmentation of medical images for diagnosis and detection of various diseases. In this paper, we have used maximum entropy to achieve image segmentation. Maximum entropy has been calculated using Shannon, Renyi and Tsallis entropies. This work has novelty based on the detection of skin lesion caused by the bite of a parasite called Sand Fly causing the disease is called Cutaneous Leishmaniasis.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Shannon" title="Shannon">Shannon</a>, <a href="https://publications.waset.org/search?q=Maximum%20entropy" title=" Maximum entropy"> Maximum entropy</a>, <a href="https://publications.waset.org/search?q=Renyi" title=" Renyi"> Renyi</a>, <a href="https://publications.waset.org/search?q=Tsallis%20entropy." title=" Tsallis entropy."> Tsallis entropy.</a> </p> <a href="https://publications.waset.org/10001173/maximum-entropy-based-image-segmentation-of-human-skin-lesion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001173/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001173/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001173/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001173/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001173/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001173/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001173/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001173/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001173/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001173/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001173.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">2397</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">261</span> Information Theoretical Analysis of Neural Spiking Activity with Temperature Modulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Young-Seok%20Choi">Young-Seok Choi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work assesses the cortical and the sub-cortical neural activity recorded from rodents using entropy and mutual information based approaches to study how hypothermia affects neural activity. By applying the multi-scale entropy and Shannon entropy, we quantify the degree of the regularity embedded in the cortical and sub-cortical neurons and characterize the dependency of entropy of these regions on temperature. We study also the degree of the mutual information on thalamocortical pathway depending on temperature. The latter is most likely an indicator of coupling between these highly connected structures in response to temperature manipulation leading to arousal after global cerebral ischemia. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Spiking%20activity" title="Spiking activity">Spiking activity</a>, <a href="https://publications.waset.org/search?q=entropy" title=" entropy"> entropy</a>, <a href="https://publications.waset.org/search?q=mutual%20information" title=" mutual information"> mutual information</a>, <a href="https://publications.waset.org/search?q=temperature%20modulation." title=" temperature modulation."> temperature modulation.</a> </p> <a href="https://publications.waset.org/10001439/information-theoretical-analysis-of-neural-spiking-activity-with-temperature-modulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001439/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001439/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001439/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001439/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001439/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001439/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001439/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001439/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001439/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001439/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001439.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">1628</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">260</span> Information Entropy of Isospectral Hydrogen Atom</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Anil%20Kumar">Anil Kumar</a>, <a href="https://publications.waset.org/search?q=C.%20Nagaraja%20Kumar"> C. Nagaraja Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The position and momentum space information entropies of hydrogen atom are exactly evaluated. Using isospectral Hamiltonian approach, a family of isospectral potentials is constructed having same energy eigenvalues as that of the original potential. The information entropy content is obtained in position space as well as in momentum space. It is shown that the information entropy content in each level can be re-arranged as a function of deformation parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Information%20Entropy" title="Information Entropy">Information Entropy</a>, <a href="https://publications.waset.org/search?q=BBM%20inequality" title=" BBM inequality"> BBM inequality</a>, <a href="https://publications.waset.org/search?q=Isospectral%20Potential." title=" Isospectral Potential."> Isospectral Potential.</a> </p> <a href="https://publications.waset.org/149/information-entropy-of-isospectral-hydrogen-atom" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/149/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/149/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/149/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/149/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/149/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/149/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/149/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/149/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/149/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/149/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/149.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">2170</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">259</span> Generalized Maximum Entropy Method for Cosmic Source Localization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Youssef%20Khmou">Youssef Khmou</a>, <a href="https://publications.waset.org/search?q=Said%20Safi"> Said Safi</a>, <a href="https://publications.waset.org/search?q=Miloud%20Frikel"> Miloud Frikel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The Maximum entropy principle in spectral analysis was used as an estimator of Direction of Arrival (DoA) of electromagnetic or acoustic sources impinging on an array of sensors, indeed the maximum entropy operator is very efficient when the signals of the radiating sources are ergodic and complex zero mean random processes which is the case for cosmic sources. In this paper, we present basic review of the maximum entropy method (MEM) which consists of rank one operator but not a projector, and we elaborate a new operator which is full rank and sum of all possible projectors. Two dimensional Simulation results based on Monte Carlo trials prove the resolution power of the new operator where the MEM presents some erroneous fluctuations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Maximum%20entropy" title="Maximum entropy">Maximum entropy</a>, <a href="https://publications.waset.org/search?q=Cosmic%20source" title=" Cosmic source"> Cosmic source</a>, <a href="https://publications.waset.org/search?q=Localization" title=" Localization"> Localization</a>, <a href="https://publications.waset.org/search?q=operator" title=" operator"> operator</a>, <a href="https://publications.waset.org/search?q=projector" title=" projector"> projector</a>, <a href="https://publications.waset.org/search?q=azimuth" title=" azimuth"> azimuth</a>, <a href="https://publications.waset.org/search?q=elevation" title=" elevation"> elevation</a>, <a href="https://publications.waset.org/search?q=DoA" title=" DoA"> DoA</a>, <a href="https://publications.waset.org/search?q=circular%20array." title=" circular array."> circular array.</a> </p> <a href="https://publications.waset.org/9999616/generalized-maximum-entropy-method-for-cosmic-source-localization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9999616/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9999616/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9999616/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9999616/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9999616/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9999616/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9999616/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9999616/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9999616/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9999616/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9999616.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">2134</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">258</span> Optimization of Lakes Aeration Process</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohamed%20Abdelwahed">Mohamed Abdelwahed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The aeration process via injectors is used to combat the lack of oxygen in lakes due to eutrophication. A 3D numerical simulation of the resulting flow using a simplified model is presented. In order to generate the best dynamic in the fluid with respect to the aeration purpose, the optimization of the injectors location is considered. We propose to adapt to this problem the topological sensitivity analysis method which gives the variation of a criterion with respect to the creation of a small hole in the domain. The main idea is to derive the topological sensitivity analysis of the physical model with respect to the insertion of an injector in the fluid flow domain. We propose in this work a topological optimization algorithm based on the studied asymptotic expansion. Finally we present some numerical results, showing the efficiency of our approach <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Quasi%20Stokes%20equations" title="Quasi Stokes equations">Quasi Stokes equations</a>, <a href="https://publications.waset.org/search?q=Numerical%20simulation" title=" Numerical simulation"> Numerical simulation</a>, <a href="https://publications.waset.org/search?q=topological%0Aoptimization" title=" topological optimization"> topological optimization</a>, <a href="https://publications.waset.org/search?q=sensitivity%20analysis." title=" sensitivity analysis."> sensitivity analysis.</a> </p> <a href="https://publications.waset.org/9778/optimization-of-lakes-aeration-process" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9778/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9778/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9778/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9778/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9778/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9778/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9778/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9778/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9778/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9778/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9778.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">1468</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">257</span> Generalized Measures of Fuzzy Entropy and their Properties</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=K.C.%20Deshmukh">K.C. Deshmukh</a>, <a href="https://publications.waset.org/search?q=P.G.%20Khot"> P.G. Khot</a>, <a href="https://publications.waset.org/search?q=Nikhil"> Nikhil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present communication, we have proposed some new generalized measure of fuzzy entropy based upon real parameters, discussed their and desirable properties, and presented these measures graphically. An important property, that is, monotonicity of the proposed measures has also been studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20numbers" title="Fuzzy numbers">Fuzzy numbers</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=Characteristicfunction" title=" Characteristicfunction"> Characteristicfunction</a>, <a href="https://publications.waset.org/search?q=Crisp%20set" title=" Crisp set"> Crisp set</a>, <a href="https://publications.waset.org/search?q=Monotonicity." title=" Monotonicity."> Monotonicity.</a> </p> <a href="https://publications.waset.org/2835/generalized-measures-of-fuzzy-entropy-and-their-properties" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2835/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2835/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2835/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2835/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2835/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2835/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2835/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2835/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2835/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2835/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2835.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">1473</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">256</span> Entropy Generation Analysis of Free Convection Film Condensation on a Vertical Ellipsoid with Variable Wall Temperature</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sheng-An%20Yang">Sheng-An Yang</a>, <a href="https://publications.waset.org/search?q=Ren-Yi%20Hung"> Ren-Yi Hung</a>, <a href="https://publications.waset.org/search?q=Ying-Yi%20Ho"> Ying-Yi Ho</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper aims to perform the second law analysis of thermodynamics on the laminar film condensation of pure saturated vapor flowing in the direction of gravity on an ellipsoid with variable wall temperature. The analysis provides us understanding how the geometric parameter- ellipticity and non-isothermal wall temperature variation amplitude “A." affect entropy generation during film-wise condensation heat transfer process. To understand of which irreversibility involved in this condensation process, we derived an expression for the entropy generation number in terms of ellipticity and A. The result indicates that entropy generation increases with ellipticity. Furthermore, the irreversibility due to finite temperature difference heat transfer dominates over that due to condensate film flow friction and the local entropy generation rate decreases with increasing A in the upper half of ellipsoid. Meanwhile, the local entropy generation rate enhances with A around the rear lower half of ellipsoid. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Free%20convection%3B%20Non-isothermal%3B%20Thermodynamic%0Asecond%20law%3B%20Entropy" title="Free convection; Non-isothermal; Thermodynamic second law; Entropy">Free convection; Non-isothermal; Thermodynamic second law; Entropy</a>, <a href="https://publications.waset.org/search?q=Ellipsoid." title=" Ellipsoid."> Ellipsoid.</a> </p> <a href="https://publications.waset.org/3520/entropy-generation-analysis-of-free-convection-film-condensation-on-a-vertical-ellipsoid-with-variable-wall-temperature" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3520/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3520/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3520/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3520/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3520/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3520/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3520/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3520/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3520/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3520/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3520.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">1958</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">255</span> Identification of the Main Transition Velocities in a Bubble Column Based on a Modified Shannon Entropy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Stoyan%20Nedeltchev">Stoyan Nedeltchev</a>, <a href="https://publications.waset.org/search?q=Markus%20Schubert"> Markus Schubert</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The gas holdup fluctuations in a bubble column (0.15 m in ID) have been recorded by means of a conductivity wire-mesh sensor in order to extract information about the main transition velocities. These parameters are very important for bubble column design, operation and scale-up. For this purpose, the classical definition of the Shannon entropy was modified and used to identify both the onset (at <em>U</em><sub>G</sub>=0.034 m/s) of the transition flow regime and the beginning (at <em>U</em><sub>G</sub>=0.089 m/s) of the churn-turbulent flow regime. The results were compared with the Kolmogorov entropy (KE) results. A slight discrepancy was found, namely the transition velocities identified by means of the KE were shifted to somewhat higher (0.045 and 0.101 m/s) superficial gas velocities <em>U</em><sub>G</sub>. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bubble%20column" title="Bubble column">Bubble column</a>, <a href="https://publications.waset.org/search?q=gas%20holdup%20fluctuations" title=" gas holdup fluctuations"> gas holdup fluctuations</a>, <a href="https://publications.waset.org/search?q=Modified%20Shannon%20entropy" title=" Modified Shannon entropy"> Modified Shannon entropy</a>, <a href="https://publications.waset.org/search?q=Kolmogorov%20entropy." title=" Kolmogorov entropy. "> Kolmogorov entropy. </a> </p> <a href="https://publications.waset.org/10003828/identification-of-the-main-transition-velocities-in-a-bubble-column-based-on-a-modified-shannon-entropy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003828/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003828/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003828/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003828/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003828/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003828/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003828/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003828/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003828/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003828/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003828.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">1696</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">254</span> Entropy Analysis in a Bubble Column Based on Ultrafast X-Ray Tomography Data</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Stoyan%20Nedeltchev">Stoyan Nedeltchev</a>, <a href="https://publications.waset.org/search?q=Markus%20Schubert"> Markus Schubert</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>By means of the ultrafast X-ray tomography facility, data were obtained at different superficial gas velocities <em>U</em><sub>G</sub> in a bubble column (0.1 m in ID) operated with an air-deionized water system at ambient conditions. Raw reconstructed images were treated by both the information entropy (IE) and the reconstruction entropy (RE) algorithms in order to identify the main transition velocities in a bubble column. The IE values exhibited two well-pronounced minima at <em>U</em><sub>G</sub>=0.025 m/s and <em>U</em><sub>G</sub>=0.085 m/s identifying the boundaries of the homogeneous, transition and heterogeneous regimes. The RE extracted from the central region of the column’s cross-section exhibited only one characteristic peak at <em>U</em><sub>G</sub>=0.03 m/s, which was attributed to the transition from the homogeneous to the heterogeneous flow regime. This result implies that the transition regime is non-existent in the core of the column.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bubble%20column" title="Bubble column">Bubble column</a>, <a href="https://publications.waset.org/search?q=ultrafast%20X-ray%20tomography" title=" ultrafast X-ray tomography"> ultrafast X-ray tomography</a>, <a href="https://publications.waset.org/search?q=information%20entropy" title=" information entropy"> information entropy</a>, <a href="https://publications.waset.org/search?q=reconstruction%20entropy." title=" reconstruction entropy. "> reconstruction entropy. </a> </p> <a href="https://publications.waset.org/10004308/entropy-analysis-in-a-bubble-column-based-on-ultrafast-x-ray-tomography-data" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10004308/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10004308/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10004308/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10004308/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10004308/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10004308/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10004308/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10004308/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10004308/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10004308/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10004308.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">1524</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">253</span> Magnetic Field Effects on Parabolic Graphene Quantum Dots with Topological Defects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Defne%20Akay">Defne Akay</a>, <a href="https://publications.waset.org/search?q=Bekir%20S.%20Kandemir"> Bekir S. Kandemir</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we investigate the low-lying energy levels of the two-dimensional parabolic graphene quantum dots (GQDs) in the presence of topological defects with long range Coulomb impurity and subjected to an external uniform magnetic field. The low-lying energy levels of the system are obtained within the framework of the perturbation theory. We theoretically demonstrate that a valley splitting can be controlled by geometrical parameters of the graphene quantum dots and/or by tuning a uniform magnetic field, as well as topological defects. It is found that, for parabolic graphene dots, the valley splitting occurs due to the introduction of spatial confinement. The corresponding splitting is enhanced by the introduction of a uniform magnetic field and it increases by increasing the angle of the cone in subcritical regime. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Coulomb%20impurity" title="Coulomb impurity">Coulomb impurity</a>, <a href="https://publications.waset.org/search?q=graphene%20cones" title=" graphene cones"> graphene cones</a>, <a href="https://publications.waset.org/search?q=graphene%0D%0Aquantum%20dots" title=" graphene quantum dots"> graphene quantum dots</a>, <a href="https://publications.waset.org/search?q=topological%20defects." title=" topological defects."> topological defects.</a> </p> <a href="https://publications.waset.org/10003408/magnetic-field-effects-on-parabolic-graphene-quantum-dots-with-topological-defects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10003408/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10003408/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10003408/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10003408/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10003408/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10003408/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10003408/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10003408/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10003408/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10003408/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10003408.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">2099</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">252</span> Reducing the False Rejection Rate of Iris Recognition Using Textural and Topological Features</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20Vatsa">M. Vatsa</a>, <a href="https://publications.waset.org/search?q=R.%20Singh"> R. Singh</a>, <a href="https://publications.waset.org/search?q=A.%20Noore"> A. Noore</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a novel iris recognition system using 1D log polar Gabor wavelet and Euler numbers. 1D log polar Gabor wavelet is used to extract the textural features, and Euler numbers are used to extract topological features of the iris. The proposed decision strategy uses these features to authenticate an individual-s identity while maintaining a low false rejection rate. The algorithm was tested on CASIA iris image database and found to perform better than existing approaches with an overall accuracy of 99.93%. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Iris%20recognition" title="Iris recognition">Iris recognition</a>, <a href="https://publications.waset.org/search?q=textural%20features" title=" textural features"> textural features</a>, <a href="https://publications.waset.org/search?q=topological%0Afeatures." title=" topological features."> topological features.</a> </p> <a href="https://publications.waset.org/5639/reducing-the-false-rejection-rate-of-iris-recognition-using-textural-and-topological-features" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5639/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5639/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5639/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5639/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5639/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5639/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5639/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5639/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5639/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5639/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5639.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">1945</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">251</span> Empirical Mode Decomposition Based Multiscale Analysis of Physiological Signal</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Young-Seok%20Choi">Young-Seok Choi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present a refined multiscale Shannon entropy for analyzing electroencephalogram (EEG), which reflects the underlying dynamics of EEG over multiple scales. The rationale behind this method is that neurological signals such as EEG possess distinct dynamics over different spectral modes. To deal with the nonlinear and nonstationary nature of EEG, the recently developed empirical mode decomposition (EMD) is incorporated, allowing a decomposition of EEG into its inherent spectral components, referred to as intrinsic mode functions (IMFs). By calculating the Shannon entropy of IMFs in a time-dependent manner and summing them over adaptive multiple scales, it results in an adaptive subscale entropy measure of EEG. Simulation and experimental results show that the proposed entropy properly reveals the dynamical changes over multiple scales. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=EEG" title="EEG">EEG</a>, <a href="https://publications.waset.org/search?q=subscale%20entropy" title=" subscale entropy"> subscale entropy</a>, <a href="https://publications.waset.org/search?q=Empirical%20mode%0D%0Adecomposition" title=" Empirical mode decomposition"> Empirical mode decomposition</a>, <a href="https://publications.waset.org/search?q=Intrinsic%20mode%20function." title=" Intrinsic mode function."> Intrinsic mode function.</a> </p> <a href="https://publications.waset.org/10001603/empirical-mode-decomposition-based-multiscale-analysis-of-physiological-signal" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10001603/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10001603/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10001603/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10001603/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10001603/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10001603/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10001603/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10001603/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10001603/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10001603/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10001603.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">1716</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">250</span> Character Segmentation Method for a License Plate with Topological Transform</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jaedo%20Kim">Jaedo Kim</a>, <a href="https://publications.waset.org/search?q=Youngjoon%20Han"> Youngjoon Han</a>, <a href="https://publications.waset.org/search?q=Hernsoo%20Hahn"> Hernsoo Hahn</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper propose the robust character segmentation method for license plate with topological transform such as twist,rotation. The first step of the proposed method is to find a candidate region for character and license plate. The character or license plate must be appeared as closed loop in the edge image. In the case of detecting candidate for character region, the evaluation of detected region is using topological relationship between each character. When this method decides license plate candidate region, character features in the region with binarization are used. After binarization for the detected candidate region, each character region is decided again. In this step, each character region is fitted more than previous step. In the next step, the method checks other character regions with different scale near the detected character regions, because most license plates have license numbers with some meaningful characters around them. The method uses perspective projection for geometrical normalization. If there is topological distortion in the character region, the method projects the region on a template which is defined as standard license plate using perspective projection. In this step, the method is able to separate each number region and small meaningful characters. The evaluation results are tested with a number of test images. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=License%20Plate%20Detection" title="License Plate Detection">License Plate Detection</a>, <a href="https://publications.waset.org/search?q=Character%20Segmentation" title=" Character Segmentation"> Character Segmentation</a>, <a href="https://publications.waset.org/search?q=Perspective%20Projection" title=" Perspective Projection"> Perspective Projection</a>, <a href="https://publications.waset.org/search?q=Topological%20Transform." title=" Topological Transform."> Topological Transform.</a> </p> <a href="https://publications.waset.org/1727/character-segmentation-method-for-a-license-plate-with-topological-transform" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/1727/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a 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