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- W1663650992 abstract "The theory of bipolar fuzzy sets introduced by Lee [9] has been applied to many branches of mathematics. In this paper, we initiate a study on bipolar fuzzy sets in Γ-semihypergroups. We define bipolar fuzzy left (right, bi-, interior, (1,2)-) Γ-hyperideals and explore some related properties. We use these bipolar fuzzy Γ-hyperideals to characterize some classes of Γ-semihypergroups. We consider the Γ-semihypergroup $underline{mathcal{H}}$ of the bipolar fuzzy points of a Γ-semihypergroup H to discuss the relation between the bipolar fuzzy sub Γ-semihypergroup (left, right, bi-, interior, (1,2)-) Γ-hyperideal and the subsets of $underline{mathcal{H}}$ in a (regular) Γ-semihypergroup. In the end, we discuss in detail a number of results on homomorphic images and preimages of bipolar fuzzy Γ-hyperideals." @default.
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- W1663650992 date "2014-01-01" @default.
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- W1663650992 title "Structures of bipolar fuzzy Γ-hyperideals in Γ-semihypergroups" @default.
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- W1663650992 doi "https://doi.org/10.3233/ifs-141260" @default.
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