Issue:

SSRSMI, Number 1, Volume XXXIII

Section:

Volume 33, Number 1

Abstract:

In this paper a new type of compactness in fuzzy topological spaces is introduced and studied by using p*-preopen sets [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 p*-preregular spaces [1]. Afterwards, it is shown that this compactness remains invariant under fuzzy p*-preirresolute functions [1].

Keywords:

Fuzzy p*-preopen set, fuzzy p*-preregular space, fuzzy regularly p*-preclosed set, fuzzy p*-precompact set (space), p*p-adherent point of a prefilterbase, p*p-cluster point of a fuzzy net.

Code [ID]:

SSRSMI202301V33S01A0004 [0005610]

Note:

DOI:

Full paper:

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