Characterizations of regular ordered semigroups in terms of (?,?)-fuzzy generalized bi-ideals
In this paper, the concept of an (?,?)-fuzzy generalized bi-ideal in an ordered semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal in an ordered semigroup. Using this concept, some characterization theorems are provided. The upper/lower parts of an (?,??q)-fuzzy generalized bi-ideal are introduced and some characterizations of regular ordered semigroups are given. Also, we consider the concept of implication-based fuzzy generalized bi-ideals in an ordered semigroup. In particular, the implication operators in L L ukasiewicz system of continuous-valued logic are discussed.
regular ordered semigroup (? (? ?)-fuzzy generalized bi-ideal ??q)-fuzzy generalized bi-ideal fuzzy subset