On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces

Authors

  • Appachi Vadivel Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.
  • Durairaj Sobana Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
  • Veerappan Chandrasekar Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
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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Journal title

volume 12  issue 1

pages  131- 153

publication date 2018-11-01

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