New Concepts of To Separation Axioms in Fuzzy Topology

Abstract

Fuzzy set was introduced by Zadeh in his classical paper of 1965. Three years later, Chang gave the definition of fuzzy topology, which is a family of fuzzy set satisfying the three classical axioms. In this paper, we have introduced and studied some new notions of T_o separation axioms in fuzzy topological spaces by using quasi-coincident relation for fuzzy set. Every ordinary (crisp) topological space vacuously satisfies condition of being quasi-T_o. In this paper concept of quasi coincident relation used to introduce and investigate some quasi separation axioms such as T_o, T₁, & T₂. Concerning quasi-T_o space in the general frame work of fuzzy topological spaces.