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Research Article

$\delta^{\alpha}_{s}$-CLOSED SET AND ITS APPLICATIONS

A
Anjana Bhattacharyya Department of Mathematics, Victoria Institution (College), Kolkata - 700009, West Bengal, INDIA
Volume 13, Issue 2 Pages 89-98 June 30, 2026 10 downloads
Article overview

Abstract

This paper deals with a new type of crisp subset, viz., $\delta^{\alpha}_{s}$-closed set of a set $X$ endowed with fuzzy topology. Using this newly defined set, we introduce and study $\delta^{\alpha}_{s}$-continuity between two fuzzy topological spaces. Lastly, we show that under this function $\delta^{\alpha}_{s}$-almost compactness remains invariant.

Keywords and Phrases

$\alpha$-shading$\delta^{\alpha}_{s}$-closed set$\delta^{\alpha}_{s}$-Urysohn space$\delta^{\alpha}_{s}$-almost compact space.

AMS Subject Classification

Primary 54A40, Secondary 03E72.

Reference information

How to Cite

Anjana Bhattacharyya (2026). $\delta^{\alpha}_{s}$-CLOSED SET AND ITS APPLICATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(2), 89-98.
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