Some good dilutions of fuzzy compactness (Q1311769)

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scientific article; zbMATH DE number 487405
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Some good dilutions of fuzzy compactness
scientific article; zbMATH DE number 487405

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    Some good dilutions of fuzzy compactness (English)
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    20 January 1994
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    The authors suggests the definitions of fuzzy almost compactness, fuzzy near compactness and fuzzy weak compactness, fuzzy \(S\)-closedness and fuzzy \(RS\)-compactness, following Lowen's approach to define a fuzzy compactness. They prove that all these concepts (except fuzzy \(RS\)- compactness) are good extensions of their classical topological counterparts. The authors could'nt prove the goodness of fuzzy \(RS\)- compactness but they still conjecture this to be the case.
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    fuzzy almost compactness
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    fuzzy near compactness
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    fuzzy weak compactness
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    fuzzy \(S\)-closedness
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    fuzzy \(RS\)-compactness
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    good extensions
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