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|a Hájek, Petr,
|e author
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|a Metamathematics of fuzzy logic /
|c by Petr Hájek
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| 264 |
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|a Dordrecht :
|b Springer Science + Business Media,
|c 1998
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|a 1 online resource (VIII, 299 pages .)
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|a text
|b txt
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|a Trends in logic, Studia Logica Library,
|x 1572-6126 ;
|v 4
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| 505 |
0 |
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|a One / Preliminaries -- 1.1 Introduction -- 1.2 A survey of Boolean propositional logic -- 1.3 Boolean predicate calculus -- 1.4 Function symbols; varieties of algebras -- 1.5 Lattices and Boolean algebras -- 1.6 Ordered Abelian groups -- Two / Many-valued propositional calculi -- 2.1 Continuous t-norms and their residua -- 2.2 The basic many-valued logic -- 2.3 Residuated lattices; a completeness theorem -- 2.4 Some additional topics -- Three /?ukasiewicz propositional logic -- 3.1 Getting?ukasiewicz logic -- 3.2 MV-algebras; a completeness theorem -- 3.3 Rational Pavelka logic -- Four / Product logic, G?del logic -- 4.1 Product logic -- 4.2 G?del logic -- 4.3 Appendix: Boolean logic -- Five / Many-valued predicate logics -- 5.1 The basic many-valued predicate logic -- 5.2 Completeness -- 5.3 Axiomatizing G?del logic -- 5.4?ukasiewicz and product predicate logic -- 5.5 Many-sorted fuzzy predicate calculi -- 5.6 Similarity and equality -- Six / Complexity and undecidability -- 6.1 Preliminaries -- 6.2 Complexity of fuzzy propositional calculi -- 6.3 Undecidability of fuzzy logics -- Seven / On approximate inference -- 7.1 The compositional rule of inference -- 7.2 Fuzzy functions and fuzzy controllers -- 7.3 An alternative approach to fuzzy rules -- Eight / Generalized quantifiers and modalities -- 8.1 Generalized quantifiers in Boolean logic -- 8.2 Two-valued modal logics -- 8.3 Fuzzy quantifiers and modalities -- 8.4 On?probably? and?many? -- 8.5 More on?probably? and?many? -- Nine / Miscellanea -- 9.1 Takeuti-Titani fuzzy logic -- 9.2 An abstract fuzzy logic -- 9.3 On the liar paradox -- 9.4 Concluding remarks -- Ten / Historical remarks -- 10.1 Until the forties -- 10.2 The fifties -- 10.3 The sixties -- 10.4 The seventies -- 10.5 The eighties -- 10.6 The nineties -- References
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|a 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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|a Online resource; title from PDF title page (Springerlink), viewed Sep. 24, 2014)
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|a Fuzzy logic
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| 650 |
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|a Fuzzy logic
|2 fast
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