On properties of generalized bipolar fuzzy semigroups
Pannawit Khamrot, Manoj Siripitukdet ยท DOAJ (DOAJ: Directory of Open Access Journals) ยท 2019
In this paper, we introduce a generalization of a bipolar fuzzy subsemigroup, namely a (๐ผ1, ๐ผ2; ๐ฝ1, ๐ฝ2)-bipolar fuzzy subsemigroup. The notions of (๐ผ1, ๐ผ2; ๐ฝ1, ๐ฝ2)-bipolar fuzzy left (right, bi-) ideals are discussed. Some necessary and sufficient conditions of (๐ผ1, ๐ผ2; ๐ฝ1, ๐ฝ2)-bipolar fuzzy left (right, bi-) ideals are obtained. Furthermore, any regular semigroup is characterized in terms of generalized bipolar fuzzy semigroups