Fuzzy soft seperation axioms with sense of Ganguly and Saha

TL;DR

This paper generalizes separation axioms in fuzzy soft topological spaces using fuzzy soft quasi-coincidence with Ganguly and Saha's sense, extending classical topological theorems to fuzzy soft contexts.

Contribution

It introduces a generalized form of separation axioms in fuzzy soft topological spaces based on fuzzy soft quasi-coincidence with Ganguly and Saha's sense.

Findings

Established basic theorems of separation axioms in classical topological spaces.

Extended the concept of separation axioms to fuzzy soft topological spaces.

Provided a framework for further research in fuzzy soft topology.

Abstract

Tanay and Kandemir <cite>TK</cite> introduced the topological structure of fuzzy soft sets. In 2013, Manatha and Das <cite>md</cite> defined seperation axioms on fuzzy soft topological spaces. In this paper, we generalized form of the seperation axioms.using fuzzy soft quasi-coincidence with sense of Ganguly and Saha <cite>GS</cite>. By using this notions, we also give some basic theorems of seperation axioms in classical topological spaces.