• αe–Closed Set, αe-Continuity and α-e-Almost Compactness For Crisp Subsets of a Fuzzy Topological Space

Anjana Bhattacharyya

Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.

Abstract: This paper is a continuation of [3]. In this paper we introduce a new type of crisp set viz., αe-closed set which inherits α-e-almost compactness [3] of a fuzzy topological space. In the last section we introduce αe-continuous function between two fuzzy topological spaces under which α-e-almost compactness for crisp subsets remains invariant.

Keywords: α-e-almost compact space, α-e-almost compact set, α-e-Urysohn space, αeclosed set, α-e-continuity, fuzzy e-open function.