FUZZY PRE β-COMPACT SPACE

Authors

  • 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].

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Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles