Abstract
In this paper, we apply the notion of bipolar-valued fuzzy set to groups. We introduce the concept of bipolar fuzzy groups / fuzzy d-ideals of groups under (T.S) norm and investigate several properties. We give relations between a bipolar fuzzy group and bipolar fuzzy d-ideal. We provide a condition for bipolar fuzzy groups to be a bipolar fuzzy d-ideal. We also give characterizations of bipolar fuzzy ideal. We consider the concept of strongest bipolar fuzzy relations on bipolar fuzzy d-ideals of a group and discuss some related properties. AMS Subject Classification (2000): 06F35, 03G25, 08A72, 20N25
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