An Approach to Some Properties of Fuzzy Topological Spaces

Abstract

In this manuscript, we use a specific definition of a fuzzy topological space. We define some basis structures of this topology and survey properties of them such as the concepts of F-closure, F-interior and F-limited points of a fuzzy subset of a topological space. Moreover, we redefine the concepts of the basis and subbasis of this topology and discuss about continuous related functions and prove some theorems about them.