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

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.