Ordered semigroups characterized by their (2;2 _q)-fuzzy bi-ideals

Abstract

Using the idea of a quasi-coincedence of a fuzzy point with a fuzzy set, the concept of an (�;�)-fuzzy bi-ideal in ordered semigroups is introduced, which is a generalization of the concept of a fuzzy bi-ideal in ordered semigroups and some interesting characterizations theorems are obtained. A special attention is given to (2;2 _q)-fuzzy bi-ideals.