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Petr Hájek - Metamathematics of Fuzzy Logic, Inbunden

Inbunden, Engelska, 1998

Metamathematics of Fuzzy Logic

Av Petr Hájek

Del 4 i serien Trends in Logic

2372 kr

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Beskrivning
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.
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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)

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