Results on fuzzy soft topological spaces

TL;DR

This paper explores foundational concepts in fuzzy soft topological spaces, including fuzzy soft points, neighborhoods, closure, interior, separation axioms, and connectedness, expanding the theoretical framework of fuzzy soft topology.

Contribution

It introduces fuzzy soft points and investigates neighborhood, closure, interior, separation axioms, and connectedness within fuzzy soft topological spaces, advancing the theoretical understanding.

Findings

Defined fuzzy soft points and neighborhoods

Analyzed fuzzy soft closure and interior properties

Studied separation axioms and connectedness in fuzzy soft spaces

Abstract

B. Tanay et. al. introduced and studied fuzzy soft topological spaces. Here we introduce fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space. We also study fuzzy soft closure and fuzzy soft interior. Separation axioms and connectedness are introduced and investigated for fuzzy soft topological spaces.