Some results on T -fuzzy ideals of Γ-near-rings

In this paper the notion of fuzzy ideals of a Γ-near-ring with respect to a t-norm is introduced and investigated some related properties. This concept of T -fuzzy ideals of a Γ-near-ring is a generalization of the concept of T -fuzzy ideals in near-rings. Also the notions of T -fuzzy ideals of a Γ-near-ring, quotient Γ-near-ring with respect to a t-norm and the sum of T -fuzzy ideals of a Γ-near-ring are introduced. Further, it is shown that an onto homomorphic image of a T -fuzzy ideal with Sup property is a T fuzzy ideal and an epimorphic pre-image of a T -fuzzy ideal of a Γ-near-ring is a T -fuzzy ideal. 2010 AMS Classification: 16Y30, 16Y99, 03E72