ON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGS

Abstract

The aim of this paper is the study of fuzzy $Gamma$-hyperrings. In this<br />regard the notion of -fuzzy hyperideals of $Gamma$-hyperrings are introduced and<br />basic properties of them are investigated. In particular, the representation<br />theorem for $nu$ -fuzzy hyperideals are given and it is shown that the image of a<br /> -fuzzy hyperideal of a $Gamma$-hyperring under a certain conditions is two-valued.<br />Finally, the product of $nu$ -fuzzy hyperideals are studied.