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Shi, Fu-Gui

A new notion of fuzzy compactness in \(L\)-topological spaces. (English) Zbl 1080.54004

Inf. Sci. 173, No. 1-3, 35-48 (2005).
Considering \(L\) a completely distributive de Morgan algebra, the author introduces a notion of fuzzy compactness in \(L\)-topological spaces called \(S^*\)-compactness. He compares various notions of fuzzy compactness introduced over the years by various authors. Besides giving basic facts, the Tychonoff theorem for \(S^*\)-compactness is obtained and it is shown that the \(L\)-fuzzy unit interval \(I(L)\) is \(S^*\)-compact. Characterizations of \(S^*\)-compactness by nets are provided.
Reviewer: T. M. G. Ahsanullah (Riyadh)

Cited in 11 Documents

MSC:

54A40 Fuzzy topology

Keywords:

\(L\)-topology; \(S^*\)-compactness; fuzzy unit interval
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\textit{F.-G. Shi}, Inf. Sci. 173, No. 1--3, 35--48 (2005; Zbl 1080.54004)
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References:

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