On Intuitionistic Fuzzy bi- Ideal With respect To an Element of a near Ring

Abstract

In this paper we introduce the notions of bi-ideal with respect to an element r denoted by (r-bi- ideal ) of a near ring , and the notion fuzzy bi- ideal with respect to an element of a near ring and the relation between F-r-bi-ideal and r-bi-ideal of the near ring, we studied the image and inverse image of r-bi- ideal under epimomorphism ,the intersection of r-bi- ideals and the relation between this ideal and the quasi ideal of a near ring, also we studied the notion intuitionistic fuzzy bi-ideal with respect to an element r of the near ring N, and give some theorem about this ideal .