University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06546220090611ON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGSON FUZZY HYPERIDEALS OF $Gamma$-HYPERRINGS475920910.22111/ijfs.2009.209ENRezaAmeriDepartment of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, Babolsar, IranHosseinHedayatiDepartment of Basic Sciences,, Babol University of Technology,
Babol, IranA.MolaeeDepartment of Mathematics, Faculty of Basic Sciences, University of
Mazandaran, Babolsar, IranJournal Article20071011The 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.https://ijfs.usb.ac.ir/article_209_038442a0be35ebc015994bc4e8bb6f0e.pdf