Representation of Łukasiewicz' many-valued algebras (Q1102286)
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scientific article; zbMATH DE number 4049644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation of Łukasiewicz' many-valued algebras |
scientific article; zbMATH DE number 4049644 |
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Representation of Łukasiewicz' many-valued algebras (English)
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1986
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This paper extends the Stone representation theory of Boolean algebras, to a representation theory of many-valued Łukasiewicz algebras. It is shown that for \(\theta\)-valued Łukasiewicz algebras, the concept of \(\theta\)-valued fuzzy algebra can play the role that the notion of field of sets plays for the representation of Boolean algebras.
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representation theory of many-valued Łukasiewicz algebras
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fuzzy algebra
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