On properties of generalized bipolar fuzzy semigroups

In this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (1, 2; 1, 2)-bipolar fuzzy subsemigroup. The notions of (1, 2; 1, 2)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient conditions of (1, 2; 1, 2)-bipolar fuzzy left (right, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized bipolar fuzzy semigroup

Some Types of Subsemigroups Characterized in Terms of Inequalities of Generalized Bipolar Fuzzy Subsemigroups

In this paper, we introduce a generalization of a bipolar fuzzy (BF) subsemigroup, namely, a ( α 1 , α 2 ; β 1 , β 2 ) -BF subsemigroup. The notions of ( α 1 , α 2 ; β 1 , β 2 ) -BF quasi(generalized bi-, bi-) ideals are discussed. Some inequalities of ( α 1 , α 2 ; β 1 , β 2 ) -BF quasi(generalized bi-, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized BF semigroups