Theory of L-fuzzy H-sets. (English) Zbl 0788.54004

Chen, Shuili

Fuzzy Sets Syst. 51, No. 1, 89-94 (1992).

For an \(L\)-fuzzy Hausdorff space the author introduces the concept of \(L\)-fuzzy \(H\)-set. A characterization is given in terms of \(\alpha\)-nets. This is followed by a treatment of \(L\)-fuzzy \(H\)-closedness which is shown to be a good extension of Veličko’s original definition.

Reviewer: M.W.Warner (London)

MSC:

54A40

Fuzzy topology

Keywords:

\(L\)-fuzzy \(H\)-closed space; \(L\)-fuzzy \(H\)-set

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