Document Type : Research Paper
Authors
- Veerappan Chandrasekar ^{1}
- Durairaj Sobana ^{1}
- Appachi Vadivel ^{} ^{} ^{2}
^{1} Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
^{2} Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.
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
Main Subjects
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