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 -semihypergroups. We define bipolar fuzzy left (right, bi-, interior, (1, 2)-) -hyperideals and explore some related properties. We use these bipolar fuzzy -hyperideals to characterize some classes of -semihypergroups. We consider the -semihypergroup H of the bipolar fuzzy points of a -semihypergroup H to discuss the relation between the bipolar fuzzy sub -semihypergroup (left, right, bi-, interior, (1, 2)-) -hyperideal and the subsets of H in a (regular) -semihypergroup. In the end, we discuss in detail a number of results on homomorphic images and preimages of bipolar fuzzy -hyperideals.
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