α-PRECOMPACT SPACE IN FUZZY TOPOLOGICAL SPACE

Abstract

In this paper we introduce and study a new type of compactness, viz., fuzzy α-precompactness by using fuzzy α-preopen set [1] as a basic tool. Here we also characterize this space by fuzzy net and prefilterbase. We have shown that fuzzy α-precompactness implies fuzzy almost compactness [4] and the converse is true only on fuzzy α-preregular space [1].