ON FUZZY HYPERIDEALS OF $\Gamma$-HYPERRINGS

نویسندگان
Ameri, Reza ID 1
Hedayati, Hossein ID 2
Molaee, A. ID 3

1 Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

2 Department of Basic Sciences,, Babol University of Technology, Babol, Iran

3 Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

doi
10.22111/ijfs.2009.209
چکیده

The aim of this paper is the study of fuzzy $\Gamma$-hyperrings. In thisregard the notion of -fuzzy hyperideals of $\Gamma$-hyperrings are introduced andbasic properties of them are investigated. In particular, the representationtheorem for $\nu$-fuzzy hyperideals are given and it is shown that the image of a-fuzzy hyperideal of a $\Gamma$-hyperring under a certain conditions is two-valued.Finally, the product of $\nu$-fuzzy hyperideals are studied.

کلیدواژه‌ها
$\Gamma$- hyperring, ($\nu$-fuzzy) hyperideal, Fuzzy polygroup, Canonical hypergroup, Fuzzy product