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.

Keywords

• Fuzzy topological space,F-neighborhood,F-interior set,F-closure of a fuzzy set.

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