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Further characterizations of \(L\)-fuzzy \(H\)-set. (English) Zbl 0917.54011
Summary: The concepts of \(L\)-fuzzy \(H\)-set was introduced by Chen Shui-Li [ibid. 51, No. 1, 89-94 (1992; Zbl 0788.54004)], which is a generalization of the \(H\)-set in crisp topology. In this paper, following the characterization of \(L\)-fuzzy \(H\)-set given by Chen, the author gives many more characterizations, by the strong \(\alpha\)-RF, the constant \(\alpha\)-net, the open \(\alpha\)-filter base, the transfinite descending sequence of almost \(\alpha\)-closed sets and others.
54A40 Fuzzy topology
Full Text: DOI
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