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Bai, Shizhong

The SR-compactness in \(L\)-fuzzy topological spaces. (English) Zbl 0912.54009

Fuzzy Sets Syst. 87, No. 2, 219-225 (1997).
Summary: The author introduces and studies 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 the finite intersection property.

Cited in 1 Review
Cited in 4 Documents

MSC:

54A40 Fuzzy topology
54D30 Compactness

Keywords:

remote neighborhood; \(L\)-fuzzy strongly semi-open set
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\textit{S. Bai}, Fuzzy Sets Syst. 87, No. 2, 219--225 (1997; Zbl 0912.54009)
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References:

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