On Bipolar Fuzzy Subgroups

In 1965, in his pioneer paper L.A. Zadeh [9] introduced the concept of fuzzy set to handle the uncertainties in our daily life. After that many generalizations of fuzzy sets are presented, for example, interval valued fuzzy sets [10] and intuitionistic fuzzy sets [1]. Fuzzy sets are extremely useful to solve many problems in applied mathematics, information sciences and theory of automata [2]. The concept of fuzzy sets in Algebraic structures was first introduced by Rosenfeld in 1971 and he defined fuzzy subgroups [8]. In [5] K.M. Lee introduced the concept of Bipolar valued fuzzy sets. In [4] Jun and Song applied the notion of Bipolar valued fuzzy sets in BCH-algebra. Recently F. Nisar and others applied the notion of Bipolar valued fuzzy sets in BCI-algebra [7]. In this paper we used the notion of Bipolar valued fuzzy sets in group theory and develop some basic results.