The SR-compactness in L-fuzzy topological spaces

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Abstract

In this paper we introduce and study the SR-compactness in L-fuzzy topological spaces. It possesses the following properties: (1) SR-compactness is defined for arbitrary subsets, (2) SR-compactness is hereditary for strongly semiclosed subsets, (3) SR-compactness is preserved under S-irresolute mapping. (4) Every set with finite support is SR-compact. Also the SR-compact space is described with cover form and family of strongly semiclosed sets having a finite intersection property. © 1997 Elsevier Science B.V.

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Shi-Zhong, B. (1997). The SR-compactness in L-fuzzy topological spaces. Fuzzy Sets and Systems, 87(2), 219–225. https://doi.org/10.1016/0165-0114(95)00341-X

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