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\((\lambda,\mu)\) fuzzy soft rings and \((\lambda,\mu)\) fuzzy soft ideals. (Chinese. English summary) Zbl 1340.16052

Summary: According to the problem of soft set algebra structure, in this paper, the concept of \((\lambda,\mu)\) fuzzy soft ring is introduced by using the theory of \((\lambda,\mu)\) fuzzy algebra based on the theory of fuzzy soft set. Their relevant properties are discussed. At the same time, homomorphism and isomorphism are applied to \((\lambda,\mu)\) fuzzy soft rings, and the corresponding theorems of \((\lambda,\mu)\) fuzzy soft rings and \((\lambda,\mu)\) fuzzy soft ideals under the fuzzy soft homomorphism are established.

MSC:

16Y99 Generalizations
16D25 Ideals in associative algebras
03E72 Theory of fuzzy sets, etc.
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