An introduction to intuitionistic fuzzy topological spaces

Abstract The purpose of this paper is to construct the basic concepts of the so-called “intuitionistic fuzzy topological spaces”. After giving the fundamental definitions and the necessary examples we introduce the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff space, and obtain several preservation properties and some characterizations concerning fuzzy compactness and fuzzy connectedness.