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On fuzzy \(\delta\)-continuity and fuzzy \(\delta\)-closed graph - MaRDI portal

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On fuzzy \(\delta\)-continuity and fuzzy \(\delta\)-closed graph (Q1314910)

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scientific article; zbMATH DE number 508824
Language Label Description Also known as
English
On fuzzy \(\delta\)-continuity and fuzzy \(\delta\)-closed graph
scientific article; zbMATH DE number 508824

    Statements

    On fuzzy \(\delta\)-continuity and fuzzy \(\delta\)-closed graph (English)
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    14 March 1994
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    The authors adopt the definition of \(\delta\)-continuity, given by the reviewer, in fuzzy setting but modify the concept of \(\delta\)-closure, \(\delta\)-open fuzzy set and \(\delta\)-closed fuzzy set as introduced by her, in the process a characterization theorem for \(\delta\)-continuity comes out with the use of fuzzy \(\delta\)-convergence of a fuzzy net and fuzzy \(\delta\)-adherence of a pro-filter. Finally, the authors introduce and study fuzzy \(\delta\)-Hausdorff spaces, functions which have fuzzy \(\delta\)-closed graph and their connections with fuzzy \(\delta\)-continuity.
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    fuzzy continuity
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    fuzzy closed graphs
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    fuzzy \(\delta\)-continuity
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