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].
Cuvinte cheie
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.