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Stratiform \(L\)-fuzzy topologies and \(L\)-fuzzy paracompactness. (Chinese. English summary) Zbl 1022.54002

Consider an \(L\)-fuzzy topological space, where \(L\) is a lattice. For a member \(a\in L\), the authors define the concept of an \(a\)-closed fuzzy subset, and correspondingly of an \(a\)-closed topology. Using the stratification structure, for \(a\in L\) and \(a\)-regular \(L\)-fuzzy topological spaces, some characterizations of a type of fuzzy paracompactness are given.

MSC:

54A40 Fuzzy topology
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