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On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces
Journal: Sahand Communications in Mathematical Analysis (Vol.12, No. 1)Publication Date: 2018-11-01
Authors : Veerappan Chandrasekar; Durairaj Sobana; Appachi Vadivel;
Page : 131-153
Keywords : 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 $e$-co;
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Abstract
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.
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Last modified: 2019-04-28 14:10:01