DOI: 10.14456/sjst-psu.2019.51

pp. 405 - 412

Abstract

In this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (a₁, a₂; β₁, β₂)-bipolar fuzzy subsemigroup. The notions of (a₁, a₂; β₁, β₂)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient conditions of (a₁, a₂; β₁, β₂)-bipolar fuzzy left (right, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized bipolar fuzzy semigroups.

Keywords

• generalized bipolar fuzzy semigroup
• (a₁,a₂;β₁,β₂)-bipolar fuzzy subsemigroup
• fuzzy left (right bi-) ideal
• regular semigroup