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Cartesian product of the extensions of fuzzy soft ideals over near-rings - MaRDI portal

Cartesian product of the extensions of fuzzy soft ideals over near-rings (Q2113769)

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scientific article; zbMATH DE number 7488815
Language Label Description Also known as
English
Cartesian product of the extensions of fuzzy soft ideals over near-rings
scientific article; zbMATH DE number 7488815

    Statements

    Cartesian product of the extensions of fuzzy soft ideals over near-rings (English)
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    14 March 2022
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    Summary: In this paper, the notions of fuzzy translation, fuzzy multiplication and fuzzy magnified translation of the cartesian product of fuzzy soft sets are introduced. The cartesian product of the extensions of fuzzy soft sets over a near-ring is defined. Using these notions, the concepts of fuzzy soft near-ring and fuzzy soft ideal over a near-ring are studied. Finally, the fuzzy translation, fuzzy multiplication and fuzzy magnified translation of the cartesian product of the extensions of two fuzzy soft sets over a regular commutative near-ring are equivalent for a fuzzy soft near-ring (resp. ideal) is proved.
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    fuzzy magnified translation
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    extension of fuzzy soft set
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    Cartesian product of the extensions of fuzzy soft sets
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    fuzzy soft near-ring
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    fuzzy soft ideal
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