On Convergence in L-Valued Fuzzy Topological Spaces
We introduce the concept of L-fuzzy neighborhood systems using complete MV-algebras and present important links with the theory of L-fuzzy topological spaces. We investigate the relationships among the degrees of L-fuzzy r-adherent points (r-convergent, r-cluster, and r-limit, resp.) in an L-fuzzy t...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/730940 |
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| author | A. A. Ramadan M. El-Dardery Hu Zhao |
| author_facet | A. A. Ramadan M. El-Dardery Hu Zhao |
| author_sort | A. A. Ramadan |
| collection | DOAJ |
| description | We introduce the concept of L-fuzzy neighborhood systems using complete MV-algebras and present important links with the theory of L-fuzzy topological spaces. We investigate the relationships among the degrees of L-fuzzy r-adherent points (r-convergent, r-cluster, and r-limit, resp.) in an L-fuzzy topological spaces. Also, we investigate the concept of LF-continuous functions and their properties. |
| format | Article |
| id | doaj-art-e8a331c43440458094e234b8a6d344e2 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e8a331c43440458094e234b8a6d344e22025-08-20T02:22:01ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/730940730940On Convergence in L-Valued Fuzzy Topological SpacesA. A. Ramadan0M. El-Dardery1Hu Zhao2Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, EgyptDepartment of Mathematics, Faculty of Science, Fayoum University, Fayoum, EgyptSchool of Science, Xian Polytechnic University, Xian 710048, ChinaWe introduce the concept of L-fuzzy neighborhood systems using complete MV-algebras and present important links with the theory of L-fuzzy topological spaces. We investigate the relationships among the degrees of L-fuzzy r-adherent points (r-convergent, r-cluster, and r-limit, resp.) in an L-fuzzy topological spaces. Also, we investigate the concept of LF-continuous functions and their properties.http://dx.doi.org/10.1155/2015/730940 |
| spellingShingle | A. A. Ramadan M. El-Dardery Hu Zhao On Convergence in L-Valued Fuzzy Topological Spaces Abstract and Applied Analysis |
| title | On Convergence in L-Valued Fuzzy Topological Spaces |
| title_full | On Convergence in L-Valued Fuzzy Topological Spaces |
| title_fullStr | On Convergence in L-Valued Fuzzy Topological Spaces |
| title_full_unstemmed | On Convergence in L-Valued Fuzzy Topological Spaces |
| title_short | On Convergence in L-Valued Fuzzy Topological Spaces |
| title_sort | on convergence in l valued fuzzy topological spaces |
| url | http://dx.doi.org/10.1155/2015/730940 |
| work_keys_str_mv | AT aaramadan onconvergenceinlvaluedfuzzytopologicalspaces AT meldardery onconvergenceinlvaluedfuzzytopologicalspaces AT huzhao onconvergenceinlvaluedfuzzytopologicalspaces |