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Fuzzy hyperrings (Hv-rings) based on fuzzy universal sets
Authors:B Davvaz  M Fathi
Affiliation:a Department of Mathematics, Yazd University, Yazd, Iran
b School of Mathematical Sciences, Faculty of Science, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia
Abstract:The aim of this paper is to define and study the concept of a fuzzy hyperring, which depends on the concept of a fuzzy universal set. A correspondence relation between a fuzzy hyperring based on a fuzzy universal set and both ordinary and fuzzy hyperideal in the sense of Davvaz is obtained.
Keywords:Hyperring  Fuzzy universal set  Fuzzy hyperoperation  Fuzzy hyperring  Hyperideal  Hv-ring
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