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Fuzzy sub-algebras of \(N(2,2,0)\) algebras and their properties. (Chinese. English summary) Zbl 1363.08001

Summary: Based on fuzzy set theory, the concept of fuzzy sub-algebra and its direct product are first established in \(N(2, 2, 0)\) algebra, and then their basic properties are discussed. Some results on the relationship between sub-algebras of \(N(2, 2, 0)\) algebras or direct products of \(N(2, 2, 0)\) algebras and fuzzy sub-algebras are obtained. These conclusions further enrich contents of \(N(2, 2, 0)\) algebras.

MSC:

08A62 Finitary algebras
08A30 Subalgebras, congruence relations
08A72 Fuzzy algebraic structures
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