On anti fuzzy ideals of Γ-rings

In this paper, we introduce the concepts of anti fuzzy ideals of a Γ−ring , a Γ−residue class ring and anti level subset of a fuzzy set. In particular, we discuss the relation of an anti fuzzy ideals of Γ-rings and the anti level subset of fuzzy sets, and give some characterizations of Artinian and Noetherian Γ-rings in terms of anti fuzzy ideals. 2010 AMS Classification: 16Y60, 13E05, 03G25