New types of bipolar fuzzy sets in -semihypergroups
نویسندگان
چکیده
The notion of bipolar fuzzy set was initiated by Lee (2000) as a generalization of the notion fuzzy sets and intuitionistic fuzzy sets, which have drawn attention of many mathematicians and computer scientists. In this paper, we initiate a study on bipolar ( , )-fuzzy sets in -semihypergroups. By using the concept of bipolar ( , )-fuzzy sets (Yaqoob and Ansari, 2013), we introduce the notion of bipolar ( , )-fuzzy sub -semihypergroups (-hyperideals and bi--hyperideals) and discuss some basic results on bipolar ( , )-fuzzy sets in -semihypergroups. Furthermore, we define the bipolar fuzzy subset , and prove that if , is a bipolar ( , )-fuzzy sub -semihypergroup (resp., -hyperideal and bi--hyperideal) of H; then , is also a bipolar ( , )-fuzzy sub -semihypergroup (resp., -hyperideal and bi--hyperideal) of H.
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