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 thisnewly defined compactness by fuzzy net and prefilterbase. It is shown that thiscompactness implies fuzzy almost compactness [3] and the converse is true onlyon fuzzy pre β-regular space [1]. Afterwards, it is shown that this compactnessremains invariant under fuzzy pre β-irresolute function [1].
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