On Fuzzy Topological Spaces induced by a Given Function

TL;DR

This paper introduces three fuzzy topological spaces derived from a function on a set, exploring their properties and interrelations to advance understanding in fuzzy topology.

Contribution

It proposes a new framework for fuzzy topological spaces induced by a function and analyzes their properties and relationships.

Findings

Characterization of the three fuzzy topological spaces

Properties and relations among the introduced spaces

Insights into the structure of fuzzy topologies induced by functions

Abstract

Given a nonempty set $X$ and a function $f:X \rightarrow X$, three fuzzy topological spaces are introduced. Some properties of these spaces and relation among them are studied and discussed.