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- About this book
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This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. Some important systems of real-valued propositional and predicate calculus are defined and investigated. The aim is to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named `fuzzy inference' can be naturally understood as logical deduction.
- Reviews
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"...Moreover, it can be an excellent guideline for a postgraduate course in fuzzy logic because of its clear and well-organized content. Definitively, an excellent book that we enthusiastically recommend, and that fuzzy and mathematical logic (and probably philosophical logic as well) communities have been waiting for, for a long time."
(F. Esteva, L. Godo, International Journal of General Systems, 29:5 (2000)
"On whole this book occupies a unique place in the literature on fuzzy sets and fuzzy logic and fills a substantial gap. This is the only existing monograph offering a comprehensive study of triangular norms and their interconnections. Overall the book is very well written and should become the standard reference for triangular norms."
(Mathematical Reviews, 2002a)
- Table of contents (10 chapters)
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Preliminaries
Pages 1-26
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Many-Valued Propositional Calculi
Pages 27-61
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Łukasiewicz Propositional Logic
Pages 63-87
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Product Logic, Gödel Logic (and Boolean Logic)
Pages 89-107
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Many-Valued Predicate Logics
Pages 109-147
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Metamathematics of Fuzzy Logic
- Authors
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- Petr Hájek
- Series Title
- Trends in Logic
- Series Volume
- 4
- Copyright
- 1998
- Publisher
- Springer Netherlands
- Copyright Holder
- Springer Science+Business Media Dordrecht
- eBook ISBN
- 978-94-011-5300-3
- DOI
- 10.1007/978-94-011-5300-3
- Hardcover ISBN
- 978-0-7923-5238-9
- Softcover ISBN
- 978-1-4020-0370-7
- Series ISSN
- 1572-6126
- Edition Number
- 1
- Number of Pages
- VIII, 299
- Topics