On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces
The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we presen...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2018-11-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf |
| _version_ | 1818081997034094592 |
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| author | Veerappan Chandrasekar Durairaj Sobana Appachi Vadivel |
| author_facet | Veerappan Chandrasekar Durairaj Sobana Appachi Vadivel |
| author_sort | Veerappan Chandrasekar |
| collection | DOAJ |
| description | The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained. |
| first_indexed | 2024-12-10T19:15:05Z |
| format | Article |
| id | doaj.art-df62d9c43e294777be083f664d6297a1 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-12-10T19:15:05Z |
| publishDate | 2018-11-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-df62d9c43e294777be083f664d6297a12022-12-22T01:36:37ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002018-11-0112113115310.22130/scma.2017.2822328223On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological SpacesVeerappan Chandrasekar0Durairaj Sobana1Appachi Vadivel2Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained.http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdfIntuitionistic fuzzy setIntuitionistic fuzzy pointIntuitionistic fuzzy topological spaceIntuitionistic fuzzy $e$-open setIntuitionistic fuzzy $e$-continuityIntuitionistic fuzzy $e$-closureIntuitionistic fuzzy $e$-interiorIntuitionistic fuzzy $e$-compact spaces |
| spellingShingle | Veerappan Chandrasekar Durairaj Sobana Appachi Vadivel On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces Sahand Communications in Mathematical Analysis Intuitionistic fuzzy set Intuitionistic fuzzy point Intuitionistic fuzzy topological space Intuitionistic fuzzy $e$-open set Intuitionistic fuzzy $e$-continuity Intuitionistic fuzzy $e$-closure Intuitionistic fuzzy $e$-interior Intuitionistic fuzzy $e$-compact spaces |
| title | On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces |
| title_full | On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces |
| title_fullStr | On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces |
| title_full_unstemmed | On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces |
| title_short | On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces |
| title_sort | on fuzzy e open sets fuzzy e continuity and fuzzy e compactness in intuitionistic fuzzy topological spaces |
| topic | Intuitionistic fuzzy set Intuitionistic fuzzy point Intuitionistic fuzzy topological space Intuitionistic fuzzy $e$-open set Intuitionistic fuzzy $e$-continuity Intuitionistic fuzzy $e$-closure Intuitionistic fuzzy $e$-interior Intuitionistic fuzzy $e$-compact spaces |
| url | http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf |
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