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Generalized fuzzy interior ideals in Abel-Grassmann's groupoids. - MaRDI portal

Generalized fuzzy interior ideals in Abel-Grassmann's groupoids. (Q963570)

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scientific article; zbMATH DE number 5695263
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Generalized fuzzy interior ideals in Abel-Grassmann's groupoids.
scientific article; zbMATH DE number 5695263

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    Generalized fuzzy interior ideals in Abel-Grassmann's groupoids. (English)
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    20 April 2010
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    Summary: Using the notion of a fuzzy point and its belongness to and quasicoincidence with a fuzzy subset, some new concepts of a fuzzy interior ideal in Abel-Grassmann's groupoids \(S\) are introduced and their interrelations and related properties are investigated. We also introduce the notion of a strongly belongness and strongly quasicoincidence of a fuzzy point with a fuzzy subset and characterize fuzzy interior ideals of \(S\) in terms of these relations.
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    Abel-Grassmann groupoids
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    AG-groupoids
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    fuzzy interior ideals
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    quasicoincidences
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    fuzzy points
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    fuzzy sets
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