Abstract: In this paper we introduce and study the concepts of intuitionistic fuzzy slightly pgb-continuous functions, we investigate some of their properties. By using intuitionistic fuzzy slightly pgb-continuous-function some properties of separation axioms are discussed.

Keywords: Intuitionistic fizzy topology, intuitionistic fuzzy ?gb-closed set, intuitionistic fuzzy clopen set, intuitionistic fuzzy slightly ?gb-continuous, 2010 AMS Classification: 54A40, 03E72