Separation Axioms in Intuitionistic Fuzzy Compact Topological Spaces

Abstract

The purpose of this paper is to establish the compactness in intuitionistic fuzzy topological space. In this paper we give four new notionsof separation axioms and one notions of locally compactness in intuitionistic fuzzy topological space. Also, we discuss separation axioms in intuitionistic fuzzy compactness and some of its features. Further, we investigate the behavior of intuitionistic fuzzy compactness under several types of fuzzy separation axioms.Keywords: Fuzzy set, intuitionistic fuzzy set, intuitionistic topological space, intuitionistic fuzzy topological space, intuitionistic fuzzy compactness, intuitionistic fuzzy hausdorff space.

A theoretical approach on intuitionistic Fuzzy Hausdorff space

“…Recently Md. Aman Mahbub [2] worked on seperation axioms in intutionistic fuzzy compact topological spaces.…”

On а study on intuitionistic fuzzy r-normal spaces

“…Later, the concept of an intuitionistic fuzzy topological space and some of their main properties were introduced by D. Çoker and his coworkers [8,[10][11][12]. Moreover, separation axioms of fuzzy topological spaces and intuitionistic fuzzy topological spaces were explored by many fuzzy topologists [3,14,15,16,17,[20][21][22][23], especially Al-Qubati et. al.…”

On Intuitionistic Fuzzy r-Regular Spaces

“…Coker and coworker [5,6,7,] introduced the basic concepts of the theory of intuitionistic fuzzy topological spaces. Since then, Coker et al [8], Singh et al [9], Lee et al [10], Saadati et al [11], Ahmed et al [12,13,14,15,16] , Mahabub et al [18,19,20] and Saiful et al [23,24,25] subsequently initiated a study of intuitionistic fuzzy topological spaces by using intuitionistic fuzzy sets. Various researchers work particularly on intuitionistic fuzzy regular spaces [17].…”