Fuzzy Hyperideals of Fuzzy Hyperrings
نویسندگان
چکیده
In this paper we introduce and analyze the notion of fuzzy hyperideal of a fuzzy hyperring. Then we investigate some properties based on homomorphisms between fuzzy hyperrings. Also, we try to extend the notion of cuts in fuzzy structures for fuzzy hyperrings. We study the quotient structure of a fuzzy hyperring and also we define fuzzy hypercongruences. Then we investigate some connections between hyperrings and fuzzy hyperrings using the notions of hypercongruences and fuzzy hypercongruences. We introduce and study induced equivalence relations on hyperrings and fuzzy hyperrings and investigate their properties. Finally, we define join hyperrings and fuzzy join hyperrings.
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