FUZZY p-b-ALMOST COMPACT SPACES

Abstract

This paper deals with some applications of fuzzy p-b-open sets [9]. Here we introduce fuzzy p-b-almost compactness and characterize this concept via fuzzy nets and prefilterbases. We also introduce the notion of fuzzy regularly p-b-open set, for which finite intersection property characterizes fuzzy p-b-almost compactness. It is shown that fuzzy p-b-almost compactness implies fuzzy almost compactness [11] and the converse is true only in fuzzy p-b-regular spaces [9].

Cuvinte cheie

Fuzzy p-b-open set fuzzy p-b-regular space fuzzy regularly p-b-closed set fuzzy p-b-almost compact set (space) pb-adherent point of a prefilterbase pb-cluster point of a fuzzy net.