Article overview
Abstract
This paper deals with a new type of compactness, viz., fuzzy pre $\beta$-compactness by using fuzzy pre $\beta$-open set [1] as a basic tool. We characterize this newly defined compactness by fuzzy net and prefilterbase. It is shown that this compactness implies fuzzy almost compactness [3] and the converse is true only on fuzzy pre $\beta$-regular space [1]. Afterwards, it is shown that this compactness remains invariant under fuzzy pre $\beta$-irresolute function [1].
Keywords and Phrases
Fuzzy pre $\beta$-open setfuzzy
pre $\beta$-regular spacefuzzy regularly pre $\beta$-closed setfuzzy pre $\beta$-compact set (space)pre $\beta$-adherent point of a prefilterbasepre $\beta$-cluster point of a fuzzy net.
AMS Subject Classification
54A40, 03E72.
Reference information
How to Cite
Anjana Bhattacharyya (2023). FUZZY PRE $\beta$-COMPACT SPACE. South East Asian Journal of Mathematics and Mathematical Sciences, 19(2), 403-416.