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Zbl 1179.16029
Leoreanu-Fotea, V.; Davvaz, B.
Fuzzy hyperrings.
(English)
[J] Fuzzy Sets Syst. 160, No. 16, 2366-2378 (2009). ISSN 0165-0114

Summary: We introduce and analyze the fuzzy hyperring notion. We consider and study the subfuzzy-structures of such a notion and homomorphisms between fuzzy hyperrings. Finally, fundamental relations on fuzzy hyperrings are analyzed. In all the paper, we follow a connection between hyperrings and fuzzy hyperrings.
MSC 2000:
*16Y99 Generalizations of associative rings and algebras
20N20 Hypergroups (group theory)
08A72 Fuzzy algebraic structures

Keywords: fuzzy hyperrings; fuzzy regular relation; homomorphisms; fundamental relations

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Scientific prize winners of the ICM 2010
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