Intuitionistic Fuzzy Points in Semigroups

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Semigroups</title> <meta name="description" content="Intuitionistic Fuzzy Points in Semigroups"> <meta name="keywords" content="Semigroup, Regular(intra-regular) semigroup, Intuitionistic fuzzy point, Intuitionistic fuzzy subsemigroup, Intuitionistic fuzzy ideal, Intuitionistic fuzzy interior ideal, Intuitionistic fuzzy semiprime ideal, Intuitionistic fuzzy prime ideal."> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <meta name="citation_title" content="Intuitionistic Fuzzy Points in Semigroups"> <meta name="citation_author" content="Sujit Kumar Sardar Manasi Mandal Samit Kumar Majumder"> <meta name="citation_publication_date" content="2011/03/27"> <meta name="citation_journal_title" content="International Journal of Mathematical and Computational Sciences"> <meta name="citation_volume" content="5"> <meta name="citation_issue" content="3"> <meta name="citation_firstpage" content="505"> 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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. <iframe src="https://publications.waset.org/8848.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <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> <p class="card-text"><strong>Digital Object Identifier (DOI):</strong> <a href="https://doi.org/10.5281/zenodo.1071664" target="_blank">doi.org/10.5281/zenodo.1071664</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> <p class="card-text"><strong>References:</strong></p> <br>[1] K. Atanassov; Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986) 87-96. <br>[2] K. Atanassov; New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(1994) 137-142. <br>[3] K. Atanassov; Intuitionistic fuzzy sets, theory and Applications, Studies in Fuzziness and Soft Computing., 35(1999) Physica-Verlag, Heidelberg. <br>[4] J.M. Howie; Fundamentals of semigroup theory, London Mathematical Society Monographs. New Series, 12. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1995. <br>[5] Y.B. Jun, S.M. Hong and J. Meng; Fuzzy interior ideals in semigroups, Indian J. of Pure Appl. Math., 26(9)(1995) 859-863. <br>[6] Y.B. Jun and S.Z. Song; Intuitionistic fuzzy semipreopen sets and intuitionistic fuzzy semiprecontinuous mappings, Journal of Appl. Math. and Computing, 19(1-2)(2005) 467-474. <br>[7] K.H. Kim; On fuzzy points in semigroups, International Journal of Mathematics and Mathematical Sciences, 26(11) (2001) 707-712. <br>[8] N. Kuroki; On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems, 5(1981) 203-215. <br>[9] N. Kuroki; On fuzzy semigroups, Information Sciences, 53(1991) 203-236. <br>[10] N. Kuroki ; Fuzzy semiprime quasi ideals in semigroups, Inform. Sci., 75(3)(1993) 201-211. <br>[11] Mordeson et all; Fuzzy semigroups, Springer-Verlag (2003), Heidelberg. <br>[12] P.M. Pu and Y.M. Liu; Fuzzy topology I, neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76(2) (1980) 571-599. <br>[13] A. Rosenfeld; Fuzzy groups, J. Math. Anal. Appl., 35 (1971) 512-517. <br>[14] S.K. Sardar, M. Mandal and S.K. Majumder; On intuitionistic fuzzy magnified translation in semigroups,(Communicated). <br>[15] X.P. Wang, Z.W. Mo and W.J. Liu; Fuzzy ideals generated by fuzzy point in semigroups, Sichuan Shifan Daxue Xuebao Ziran Kexue Ban., 15(4) (1992) 17-24. <br>[16] X.Y. Xie; Fuzzy ideal extensions of semigroups,, Soochow Journal of Mathematics, 27(2)(April 2001) 125-138. <br>[17] X.Y. Xie; Fuzzy ideal extensions of ordered semigroups, Lobach Journal of Mathematics, 19(2005) 29-40. <br>[18] Y.H. Yon; The semigroup of fuzzy points, Submitted in Comm. Algebra. <br>[19] L.A. Zadeh; Fuzzy sets, Information and Control, 8 (1965) 338-353. </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>

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Intuitionistic Fuzzy Points in Semigroups