Many-valued logic and fuzzy set theory (Q2702341)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Many-valued logic and fuzzy set theory |
scientific article |
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11 September 2001
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fuzzy logic
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fuzzy set theory
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triangular norms
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many-valued algebras
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MV-algebras
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many-valued logics
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graded consequences
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0.9128807
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Many-valued logic and fuzzy set theory (English)
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The author gives a good presentation, even from a historical point of view, of fuzzy logic and its intimate relationships with many-valued logics. He surveys the basic concepts of fuzzy set theory and the related generalized many-valued logics which permit to deal in an axiomatic way with vagueness phenomena. First, the author describes triangular norms as basic connectives for fuzzy sets. Afterwards, many-valued algebras like MV-algebras, Gödel and product algebras with the related extensions to first-order systems are described. Finally, semantic and syntactic approaches to many-valued logics with graded consequences are given together with related completeness theorems. The paper contains an interesting list of 113 references.NEWLINENEWLINEFor the entire collection see [Zbl 0942.00008].
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