FUZZY PRE β-COMPACT SPACE

  • Anjana Bhattacharyya Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata - 700009, INDIA
DOI: https://doi.org/10.56827/SEAJMMS.2023.1902.30
Keywords: Fuzzy pre β-open set, fuzzy pre β-regular space, fuzzy regularly pre β-closed set, fuzzy pre β-compact set (space), pre β-adherent point of a prefilterbase, pre β-cluster point of a fuzzy net.

Abstract

This paper deals with a new type of compactness, viz., fuzzy pre β- compactness by using fuzzy pre β-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 β-regular space [1]. Afterwards, it is shown that this compactness remains invariant under fuzzy pre β-irresolute function [1].
Published
2023-08-30
Issue
Vol 19 No 02 (2023): South East Asian J. of Mathematics and Mathematical Sciences
Section
Research Article

Copyright (c) 2023 South East Asian J. of Mathematics and Mathematical Sciences

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