Abel-Grassmann's groupoids characterized by (\in ,\in \vee q_{k}) fuzzy bi-ideals

Abstract

Using the idea of a quasi-coincedece of a fuzzy point with a fuzzy set, the concept of an (α,β)-fuzzy bi-ibeals in AG-groupoid is introduced in this paper, which is a generalization of the concept of a fuzzy bi-ideal in AG-groupoid and some interesting characterizations theorems are obtained.