On Intuitionistic Fuzzy Separation Axioms

Abstract

In this paper we slightly alter Atanassov’s definition of intuitionistic fuzzy sets (which are equivalent to interval valued fuzzy sets [11] ) and we discuss some interesting new properties of intuitionistic fuzzy topology. The relation between IFTSs and the induced fuzzy bitopological spaces are studied. We also give the definitions of intuitionistic fuzzy regularity and separation axioms and give some its characterizations. We introduce new concept of good extension property in intuitionistic setting. Finally, we investigate some relations between separation axioms on IFTS and that of induced fuzzy topological spaces (FTSs for short) and vice versa.