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Semigroup</title> <meta name="description" content="Search results for: Semigroup"> <meta name="keywords" content="Semigroup"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" 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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Semigroup"> <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> 14</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Semigroup</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">14</span> Deduction of Fuzzy Autocatalytic Set to Omega Algebra and Transformation Semigroup</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Liew%20Siaw%20Yee">Liew Siaw Yee</a>, <a href="https://publications.waset.org/search?q=Tahir%20Ahmad"> Tahir Ahmad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the Fuzzy Autocatalytic Set (FACS) is composed into Omega Algebra by embedding the membership value of fuzzy edge connectivity using the property of transitive affinity. Then, the Omega Algebra of FACS is a transformation semigroup which is a special class of semigroup is shown. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Fuzzy%20autocatalytic%20set" title="Fuzzy autocatalytic set">Fuzzy autocatalytic set</a>, <a href="https://publications.waset.org/search?q=omega%20algebra" title=" omega algebra"> omega algebra</a>, <a href="https://publications.waset.org/search?q=semigroup" title=" semigroup"> semigroup</a>, <a href="https://publications.waset.org/search?q=transformation%20semigroup." title="transformation semigroup.">transformation semigroup.</a> </p> <a href="https://publications.waset.org/14570/deduction-of-fuzzy-autocatalytic-set-to-omega-algebra-and-transformation-semigroup" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14570/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14570/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14570/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14570/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14570/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14570/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14570/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14570/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14570/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14570/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14570.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">1268</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">13</span> On Q-Fuzzy Ideals in Γ-Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Samit%20Kumar%20Majumder">Samit Kumar Majumder</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper the concept of Q-fuzziﬁcation of ideals of Γ-semigroups has been introduced and some important properties have been investigated. A characterization of regular Γ-semigroup in terms of Q-fuzzy ideals has been obtained. Operator semigroups of a Γ-semigroup has been made to work by obtaining various relationships between Q-fuzzy ideals of a Γ-semigroup and that of its operator semigroups.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Q-Fuzzy%20set" title="Q-Fuzzy set">Q-Fuzzy set</a>, <a href="https://publications.waset.org/search?q=%CE%93-semigroup" title=" Γ-semigroup"> Γ-semigroup</a>, <a href="https://publications.waset.org/search?q=Regular%20%CE%93-semigroup" title=" Regular Γ-semigroup"> Regular Γ-semigroup</a>, <a href="https://publications.waset.org/search?q=Q-Fuzzy%20left%28right%29%20ideal" title=" Q-Fuzzy left(right) ideal"> Q-Fuzzy left(right) ideal</a>, <a href="https://publications.waset.org/search?q=Operator%20semigroups." title=" Operator semigroups."> Operator semigroups.</a> </p> <a href="https://publications.waset.org/2460/on-q-fuzzy-ideals-in-g-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2460/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2460/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2460/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2460/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2460/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2460/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2460/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2460/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2460/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2460/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2460.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">2862</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">12</span> On Completely Semiprime, Semiprime and Prime Fuzzy Ideals in Ordered Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jian%20Tang">Jian Tang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of completely semiprime fuzzy ideals of ordered semigroups. Furthermore, we introduce the notion of semiprime fuzzy ideals of ordered semigroup S and establish the relations between completely semiprime fuzzy ideals and semiprime fuzzy ideals of S. Finally, we give a characterization of prime fuzzy ideals of an ordered semigroup S and show that a nonconstant fuzzy ideal f of an ordered semigroup S is prime if and only if f is twovalued, and max{f(a), f(b)} = inf f((aSb]), ∀a, b ∈ S.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ordered%20fuzzy%20point" title="Ordered fuzzy point">Ordered fuzzy point</a>, <a href="https://publications.waset.org/search?q=fuzzy%20left%20%28right%29%20ideal%20of%20anordered%20semigroup" title=" fuzzy left (right) ideal of anordered semigroup"> fuzzy left (right) ideal of anordered semigroup</a>, <a href="https://publications.waset.org/search?q=completely%20semiprime%20fuzzy%20ideal" title=" completely semiprime fuzzy ideal"> completely semiprime fuzzy ideal</a>, <a href="https://publications.waset.org/search?q=semiprimefuzzy%20ideal" title=" semiprimefuzzy ideal"> semiprimefuzzy ideal</a>, <a href="https://publications.waset.org/search?q=prime%20fuzzy%20ideal." title=" prime fuzzy ideal."> prime fuzzy ideal.</a> </p> <a href="https://publications.waset.org/15343/on-completely-semiprime-semiprime-and-prime-fuzzy-ideals-in-ordered-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15343/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15343/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15343/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15343/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15343/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15343/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15343/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15343/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15343/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15343/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15343.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">1857</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">11</span> Characterizations of Ordered Semigroups by (∈,∈ ∨q)-Fuzzy Ideals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jian%20Tang">Jian Tang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Let S be an ordered semigroup. In this paper we first introduce the concepts of (∈,∈ &or;q)-fuzzy ideals, (∈,∈ &or;q)-fuzzy bi-ideals and (∈,∈ &or;q)-fuzzy generalized bi-ideals of an ordered semigroup S, and investigate their related properties. Furthermore, we also define the upper and lower parts of fuzzy subsets of an ordered semigroup S, and investigate the properties of (∈,∈ &or;q)-fuzzy ideals of S. Finally, characterizations of regular ordered semigroups and intra-regular ordered semigroups by means of the lower part of (∈ ,∈ &or;q)-fuzzy left ideals, (∈,∈ &or;q)-fuzzy right ideals and (∈,∈ &or;q)- fuzzy (generalized) bi-ideals are given.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ordered%20semigroup" title="Ordered semigroup">Ordered semigroup</a>, <a href="https://publications.waset.org/search?q=regular%20ordered%20semigroup" title=" regular ordered semigroup"> regular ordered semigroup</a>, <a href="https://publications.waset.org/search?q=intraregular%0D%0Aordered%20semigroup" title=" intraregular ordered semigroup"> intraregular ordered semigroup</a>, <a href="https://publications.waset.org/search?q=%28%E2%88%88" title=" (∈"> (∈</a>, <a href="https://publications.waset.org/search?q=%E2%88%88%20%E2%88%A8q%29-fuzzy%20left%20%28right%29%20ideal%20of%20an%0D%0Aordered%20semigroup" title="∈ ∨q)-fuzzy left (right) ideal of an ordered semigroup">∈ ∨q)-fuzzy left (right) ideal of an ordered semigroup</a>, <a href="https://publications.waset.org/search?q=%28%E2%88%88" title=" (∈"> (∈</a>, <a href="https://publications.waset.org/search?q=%E2%88%88%20%E2%88%A8q%29-fuzzy%20%28generalized%29%20bi-ideal%20of%20an%0D%0Aordered%20semigroup." title="∈ ∨q)-fuzzy (generalized) bi-ideal of an ordered semigroup.">∈ ∨q)-fuzzy (generalized) bi-ideal of an ordered semigroup.</a> </p> <a href="https://publications.waset.org/13217/characterizations-of-ordered-semigroups-by-q-fuzzy-ideals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13217/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13217/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13217/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13217/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13217/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13217/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13217/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13217/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13217/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13217/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13217.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">2013</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">10</span> Another Structure of Weakly Left C-wrpp Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Enxiao%20Yuan">Enxiao Yuan</a>, <a href="https://publications.waset.org/search?q=Xiaomin%20Zhang"> Xiaomin Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>It is known that a left C-wrpp semigroup can be described as curler structure of a left band and a C-wrpp semigroup. In this paper, we introduce the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass. We shall particularly show that the spined product of a left C-wrpp semigroup and a right normal band is a weakly left C-wrpp semifroup. Some equivalent characterizations of weakly left C-wrpp semigroups are obtained. Our results extend that of left C-wrpp semigroups.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Left%20C-wrpp%20semigroup" title="Left C-wrpp semigroup">Left C-wrpp semigroup</a>, <a href="https://publications.waset.org/search?q=left%20quasi%20normal%20regular%20band" title="left quasi normal regular band">left quasi normal regular band</a>, <a href="https://publications.waset.org/search?q=weakly%20left%20C-wrpp%20semigroup." title=" weakly left C-wrpp semigroup."> weakly left C-wrpp semigroup.</a> </p> <a href="https://publications.waset.org/9997826/another-structure-of-weakly-left-c-wrpp-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997826/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997826/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997826/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997826/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997826/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997826/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997826/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997826/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997826/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997826/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997826.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">1294</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">9</span> The Structure of Weakly Left C-wrpp Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Xiaomin%20Zhang">Xiaomin Zhang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the class of weakly left C-wrpp semigroups which includes the class of weakly left C-rpp semigroups as a subclass is introduced. To particularly show that the spined product of a left C-wrpp semigroup and a right normal band which is a weakly left C-wrpp semifroup by virtue of left C-full Ehremann cyber groups recently obtained by authors Li-Shum, results obtained by Tang and Du-Shum are extended and strengthened. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Left%20C-semigroup" title="Left C-semigroup">Left C-semigroup</a>, <a href="https://publications.waset.org/search?q=left%20C-wrpp%20semigroup" title="left C-wrpp semigroup">left C-wrpp semigroup</a>, <a href="https://publications.waset.org/search?q=left%20quasinormal%0Aband" title="left quasinormal band">left quasinormal band</a>, <a href="https://publications.waset.org/search?q=weakly%20left%20C-wrpp%20semigroup" title="weakly left C-wrpp semigroup">weakly left C-wrpp semigroup</a> </p> <a href="https://publications.waset.org/9346/the-structure-of-weakly-left-c-wrpp-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9346/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9346/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9346/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9346/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9346/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9346/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9346/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9346/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9346/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9346/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9346.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">1159</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">8</span> Intuitionistic Fuzzy Points in Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sujit%20Kumar%20Sardar%20Manasi%20Mandal%20Samit%20Kumar%20Majumder">Sujit Kumar Sardar Manasi Mandal Samit Kumar Majumder</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Y.B. Jun and S.Z. Song introduced the notion of intuitionistic fuzzy points. In this paper we find some relations between the intuitionistic fuzzy ideals of a semigroup S and the set of all intuitionistic fuzzy points of S. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Semigroup" title="Semigroup">Semigroup</a>, <a href="https://publications.waset.org/search?q=Regular%28intra-regular%29%20semigroup" title=" Regular(intra-regular) semigroup"> Regular(intra-regular) semigroup</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20point" title=" Intuitionistic fuzzy point"> Intuitionistic fuzzy point</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20subsemigroup" title=" Intuitionistic fuzzy subsemigroup"> Intuitionistic fuzzy subsemigroup</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20ideal" title=" Intuitionistic fuzzy ideal"> Intuitionistic fuzzy ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20interior%20ideal" title=" Intuitionistic fuzzy interior ideal"> Intuitionistic fuzzy interior ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20semiprime%20ideal" title=" Intuitionistic fuzzy semiprime ideal"> Intuitionistic fuzzy semiprime ideal</a>, <a href="https://publications.waset.org/search?q=Intuitionistic%20fuzzy%20prime%20ideal." title=" Intuitionistic fuzzy prime ideal."> Intuitionistic fuzzy prime ideal.</a> </p> <a href="https://publications.waset.org/8848/intuitionistic-fuzzy-points-in-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8848/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8848/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8848/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8848/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8848/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8848/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8848/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8848/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8848/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8848/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8848.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1847</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7</span> A Note on Characterization of Regular Γ-Semigroups in terms of (∈,∈ ∨q)-Fuzzy Bi-ideal</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=S.K.Sardar">S.K.Sardar</a>, <a href="https://publications.waset.org/search?q=B.Davvaz"> B.Davvaz</a>, <a href="https://publications.waset.org/search?q=S.Kayal"> S.Kayal</a>, <a href="https://publications.waset.org/search?q=S.K.Majumdar"> S.K.Majumdar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this note is to obtain some properties of (∈,∈ ∨q)- fuzzy bi-ideals in a Γ-semigroup in order to characterize regular and intra-regular Γ-semigroups. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Regular%20%CE%93-semigroup" title="Regular Γ-semigroup">Regular Γ-semigroup</a>, <a href="https://publications.waset.org/search?q=belong%20to%20or%20quasi-coincident" title=" belong to or quasi-coincident"> belong to or quasi-coincident</a>, <a href="https://publications.waset.org/search?q=%28%E2%88%88" title=" (∈"> (∈</a>, <a href="https://publications.waset.org/search?q=%E2%88%88%20%E2%88%A8q%29-fuzzy%20subsemigroup" title="∈ ∨q)-fuzzy subsemigroup">∈ ∨q)-fuzzy subsemigroup</a>, <a href="https://publications.waset.org/search?q=%28%E2%88%88" title=" (∈"> (∈</a>, <a href="https://publications.waset.org/search?q=%E2%88%88%20%E2%88%A8q%29-fuzzy%20bi-ideals." title="∈ ∨q)-fuzzy bi-ideals.">∈ ∨q)-fuzzy bi-ideals.</a> </p> <a href="https://publications.waset.org/9053/a-note-on-characterization-of-regular-g-semigroups-in-terms-of-q-fuzzy-bi-ideal" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9053/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9053/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9053/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9053/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9053/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9053/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9053/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9053/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9053/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9053/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9053.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">2224</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">6</span> Fuzzy Ideals in Near-subtraction Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=D.R%20Prince%20Williams">D.R Prince Williams</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper,we introduce a notion of fuzzy ideals in near-subtraction semigroups and study their related properties.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=subtraction%20algebra" title="subtraction algebra">subtraction algebra</a>, <a href="https://publications.waset.org/search?q=subtraction%20semigroup" title=" subtraction semigroup"> subtraction semigroup</a>, <a href="https://publications.waset.org/search?q=an%20ideal" title=" an ideal"> an ideal</a>, <a href="https://publications.waset.org/search?q=near-subtraction%20semigroup" title=" near-subtraction semigroup"> near-subtraction semigroup</a>, <a href="https://publications.waset.org/search?q=fuzzy%20level%20set" title=" fuzzy level set"> fuzzy level set</a>, <a href="https://publications.waset.org/search?q=fuzzy%20ideal" title=" fuzzy ideal"> fuzzy ideal</a>, <a href="https://publications.waset.org/search?q=fuzzy%20homomorphism." title=" fuzzy homomorphism."> fuzzy homomorphism.</a> </p> <a href="https://publications.waset.org/14409/fuzzy-ideals-in-near-subtraction-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14409/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14409/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14409/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14409/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14409/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14409/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14409/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14409/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14409/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14409/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14409.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">1953</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">5</span> On Weakly Prime and Weakly Quasi-Prime Fuzzy Left Ideals in Ordered Semigroups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jian%20Tang">Jian Tang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we first introduce the concepts of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S. Furthermore, we give some characterizations of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S by the ordered fuzzy points and fuzzy subsets of S.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Ordered%20semigroup" title="Ordered semigroup">Ordered semigroup</a>, <a href="https://publications.waset.org/search?q=ordered%20fuzzy%20point" title=" ordered fuzzy point"> ordered fuzzy point</a>, <a href="https://publications.waset.org/search?q=weakly%20prime%0D%0Afuzzy%20left%20ideal" title=" weakly prime fuzzy left ideal"> weakly prime fuzzy left ideal</a>, <a href="https://publications.waset.org/search?q=weakly%20quasi-prime%20fuzzy%20left%20ideal." title=" weakly quasi-prime fuzzy left ideal."> weakly quasi-prime fuzzy left ideal.</a> </p> <a href="https://publications.waset.org/4224/on-weakly-prime-and-weakly-quasi-prime-fuzzy-left-ideals-in-ordered-semigroups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4224/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4224/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4224/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4224/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4224/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4224/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4224/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4224/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4224/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4224/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4224.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">1640</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">4</span> I-Vague Groups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zelalem%20Teshome%20Wale">Zelalem Teshome Wale</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The notions of I-vague groups with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalize the notions with truth values in a Boolean algebra as well as those usual vague sets whose membership and non-membership functions taking values in the unit interval [0, 1]. Moreover, various operations and properties are established. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Involutary%20dually%20residuated%20lattice%20ordered%20semigroup" title="Involutary dually residuated lattice ordered semigroup">Involutary dually residuated lattice ordered semigroup</a>, <a href="https://publications.waset.org/search?q=I-vague%20set%20and%20I-vague%20group." title=" I-vague set and I-vague group."> I-vague set and I-vague group.</a> </p> <a href="https://publications.waset.org/4476/i-vague-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/4476/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/4476/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/4476/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/4476/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/4476/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/4476/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/4476/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/4476/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/4476/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/4476/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/4476.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">1863</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">3</span> I-Vague Normal Groups</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Zelalem%20Teshome%20Wale">Zelalem Teshome Wale</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The notions of I-vague normal groups with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalize the notions with truth values in a Boolean algebra as well as those usual vague sets whose membership and non-membership functions taking values in the unit interval [0, 1]. Various operations and properties are established. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Involutary%20dually%20residuated%20lattice%20ordered%20semigroup" title="Involutary dually residuated lattice ordered semigroup">Involutary dually residuated lattice ordered semigroup</a>, <a href="https://publications.waset.org/search?q=I-vague%20set" title=" I-vague set"> I-vague set</a>, <a href="https://publications.waset.org/search?q=I-vague%20group%20and%20I-vague%20normal%20group." title=" I-vague group and I-vague normal group."> I-vague group and I-vague normal group.</a> </p> <a href="https://publications.waset.org/9980/i-vague-normal-groups" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9980/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9980/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9980/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9980/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9980/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9980/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9980/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9980/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9980/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9980/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9980.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">1547</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">2</span> Machine Morphisms and Simulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Janis%20Buls">Janis Buls</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper examines the concept of simulation from a modelling viewpoint. How can one Mealy machine simulate the other one? We create formalism for simulation of Mealy machines. The injective s–morphism of the machine semigroups induces the simulation of machines [1]. We present the example of s–morphism such that it is not a homomorphism of semigroups. The story for the surjective s–morphisms is quite different. These are homomorphisms of semigroups but there exists the surjective s–morphism such that it does not induce the simulation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Mealy%20machine" title="Mealy machine">Mealy machine</a>, <a href="https://publications.waset.org/search?q=simulation" title=" simulation"> simulation</a>, <a href="https://publications.waset.org/search?q=machine%20semigroup" title=" machine semigroup"> machine semigroup</a>, <a href="https://publications.waset.org/search?q=injective%20s%E2%80%93morphism" title=" injective s–morphism"> injective s–morphism</a>, <a href="https://publications.waset.org/search?q=surjective%20s%E2%80%93morphisms." title=" surjective s–morphisms."> surjective s–morphisms.</a> </p> <a href="https://publications.waset.org/2342/machine-morphisms-and-simulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2342/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2342/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2342/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2342/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2342/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2342/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2342/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2342/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2342/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2342/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2342.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">1510</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">1</span> Exponential Stability of Linear Systems under a Class of Unbounded Perturbations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Safae%20El%20Alaoui">Safae El Alaoui</a>, <a href="https://publications.waset.org/search?q=Mohamed%20Ouzahra"> Mohamed Ouzahra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this work, we investigate the exponential stability of a linear system described by x˙ (t) = Ax(t) − ρBx(t). Here, A generates a semigroup S(t) on a Hilbert space, the operator B is supposed to be of Desch-Schappacher type, which makes the investigation more interesting in many applications. The case of Miyadera-Voigt perturbations is also considered. Sufficient conditions are formulated in terms of admissibility and observability inequalities and the approach is based on some energy estimates. Finally, the obtained results are applied to prove the uniform exponential stabilization of bilinear partial differential equations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Exponential%20stabilization" title="Exponential stabilization">Exponential stabilization</a>, <a href="https://publications.waset.org/search?q=unbounded%20operator" title=" unbounded operator"> unbounded operator</a>, <a href="https://publications.waset.org/search?q=Desch-Schappacher" title=" Desch-Schappacher"> Desch-Schappacher</a>, <a href="https://publications.waset.org/search?q=Miyadera-Voigt%20operator." title=" Miyadera-Voigt operator."> Miyadera-Voigt operator.</a> </p> <a href="https://publications.waset.org/10012550/exponential-stability-of-linear-systems-under-a-class-of-unbounded-perturbations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012550/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012550/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012550/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012550/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012550/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012550/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012550/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012550/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012550/xml" target="_blank" rel="nofollow" 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