Abstract
Multi – fuzzy set theory is an extension of fuzzy set theory. In this paper, we define the multi fuzzy ideals of Г - near ring. Also, the notion of anti multi fuzzy ideals of a Г - near ring is introduced and investigated some related properties. This concept of multi fuzzy ideals of a Г - near ring is a generalization of the concept of fuzzy ideals in Г - near rings. Also, we define the multi-level subsets and multi anti level subsets of a multi fuzzy sub Г - near ring of a Г- near ring. In this paper we define the multi level subset and multi anti level subset of AUB. The purpose of this study establishes the algebra of multi fuzzy Г- near ring.
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