Birkhoff variety theorem and fuzzy logic (Q1423635)
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scientific article; zbMATH DE number 2051462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Birkhoff variety theorem and fuzzy logic |
scientific article; zbMATH DE number 2051462 |
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Birkhoff variety theorem and fuzzy logic (English)
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7 March 2004
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The author, continuing his previous work [ibid. 41, 83--90 (2002; Zbl 1026.03016)], deals with algebras equipped with a fuzzy similarity relation. He proves that such a class of algebras is axiomatized by a fuzzy set of identities iff it is closed under morphisms (defined ad hoc), substructures and direct products. This extends Birkhoff's variety theorem.
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fuzzy logic
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fuzzy equality
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variety
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0.87629855
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0.8728273
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0.87260145
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