Fuzzy Double S – Hausdorff Spaces

Abstract

This study introduces and explores the concept of fuzzy double s-Hausdorff spaces within the field of fuzzy topology. Fuzzy double s-Hausdorff spaces extend the classical Hausdorff condition by incorporating two distinct fuzzy topologies on a single set, allowing for a more nuanced approach to separation where uncertainty and gradation are involved. The research develops formal definitions and characterizations of these spaces, establishing key theorems that outline their properties and behavior.

In this article, a meaning of FDS -T2 remains presented through covering the description of S- T2   introduce by Srivastava [3] and obtain result analogues towards the result of S- T2.