2017
DOI: 10.20454/ijas.2017.1259
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Characterization of fuzzy weak bi-ideals of gamma-near-rings

Abstract: In this paper, we introduce the notion of fuzzy weak bi-ideals of \(\Gamma\)-near-rings, which is a generalized concept of fuzzy bi-ideals of near-rings. We also investigate some of its properties with examples.

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“…Fuzzy sets, which were introduced by Zadeh [6] introduced the notion of a fuzzy set, and as an extension of fuzzy set, Zhang [7] introduced the notion of bipolar fuzzy sets. Bipolar fuzzy information was applied to many (algebraic) structures, e.g., Γ-semihypergroups (see [8]) and (ordered) semigroups (see [9][10][11][12]).…”
Section: Introductionmentioning
confidence: 99%
“…Fuzzy sets, which were introduced by Zadeh [6] introduced the notion of a fuzzy set, and as an extension of fuzzy set, Zhang [7] introduced the notion of bipolar fuzzy sets. Bipolar fuzzy information was applied to many (algebraic) structures, e.g., Γ-semihypergroups (see [8]) and (ordered) semigroups (see [9][10][11][12]).…”
Section: Introductionmentioning
confidence: 99%