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

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.

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 $e$-compact spaces