An Approach to Some Properties of Fuzzy Topological Spaces

Year 2017, Volume: 14 Issue: 1, - , 01.05.2017

Marzieh Mostafavi

https://izlik.org/JA57JJ25KK

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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