The principles of fuzzy logic: Its mathematical and computational aspects (Q2784600)
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scientific article; zbMATH DE number 1732842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The principles of fuzzy logic: Its mathematical and computational aspects |
scientific article; zbMATH DE number 1732842 |
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13 November 2002
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survey
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natural language
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fuzzy logic
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algebraic structures
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MV-algebras
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functional systems
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0.89582515
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0.8910444
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The principles of fuzzy logic: Its mathematical and computational aspects (English)
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The paper is a comprehensive overview of the principles of fuzzy logic discussed in terms of the underlying mathematics and ensueing computational aspects. The presentation clearly delineates between the meaning of fuzzy logic in narrow and broad sense. In the first case, fuzzy logic relates to many-valued logics. Fuzzy logic viewed in broad sense pertains to mathematical modeling of human reasoning. The discussion of fuzzy logic in narrow sense concentrates on algebraic structures for logical calculi, relates it to MV-algebras and discusses functional systems in fuzzy logic theories. It is shown how formulas of fuzzy logic can serve as descriptors for an approximate system description; in this setting the well-known rules of compositional inference and the related best logical approximations are analyzed.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00009].
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