Functions with closed graphs and strongly closed graphs in fuzzy neighbourhood spaces (Q1197854)

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scientific article; zbMATH DE number 91975
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Functions with closed graphs and strongly closed graphs in fuzzy neighbourhood spaces
scientific article; zbMATH DE number 91975

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    Functions with closed graphs and strongly closed graphs in fuzzy neighbourhood spaces (English)
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    16 January 1993
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    Within the framework of fuzzy neighborhood spaces [\textit{R. Lowen}, ibid. 7, 165-189 (1982; Zbl 0487.54008)], the authors considered various types of closed graphs, such as \(N\)-closed graph, \(N\)-strongly closed graph, weakly \(N\)-closed graph, and weakly \(N\)-strongly closed graph and poved that all of these notions are good extensions in the sense of Lowen. Some characterizations are produced in the presence of Wuyts-Lowen lower separation axioms [J. Math. Anal. Appl. 93, 27-41 (1983; Zbl 0515.54004)].
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    functions with closed graphs
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    fuzzy neighborhood spaces
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    Wuyts-Lowen lower separation axioms
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