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 (α1, α2; β1, β2)-BF subsemigroup. The notions of (α1, α2; β1, β2)-BF quasi(generalized bi-, bi-) ideals are discussed. Some inequalities of(α1, α2; β1, β2)-BF quasi(generalized bi-, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized BF semigroups. [ABSTRACT FROM AUTHOR]