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ON FUZZY HYPERIDEALS OF $\Gamma$-HYPERRINGS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 6، دوره 6، شماره 2، تابستان 2009، صفحه 47-59 اصل مقاله (221.27 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2009.209 | ||
نویسندگان | ||
Reza Ameri ![]() | ||
1Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran | ||
2Department of Basic Sciences,, Babol University of Technology, Babol, Iran | ||
چکیده | ||
The aim of this paper is the study of fuzzy $\Gamma$-hyperrings. In this regard the notion of -fuzzy hyperideals of $\Gamma$-hyperrings are introduced and basic properties of them are investigated. In particular, the representation theorem 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 | ||
مراجع | ||
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