Fuzzy fields and fuzzy linear spaces redefined (Q1824010)

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scientific article; zbMATH DE number 4116715
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Fuzzy fields and fuzzy linear spaces redefined
scientific article; zbMATH DE number 4116715

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    Fuzzy fields and fuzzy linear spaces redefined (English)
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    1989
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    This note brings a modification of the definition of fuzzy field introduced by \textit{S. Nanda} [Fuzzy Sets Syst. 19, 89-94 (1986; Zbl 0602.15002)]. The reproved characterization of fuzzy fields is an analogy of suitable characterization of fuzzy groups [cf. \textit{A. Rosenfeld}, J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.055), Proposition 5.6].
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    fuzzy linear space
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    fuzzy set
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    membership function
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    fuzzy ring
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    fuzzy field
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    characterization
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    fuzzy groups
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