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Bibliografická citace

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BK
Dordrecht : Kluwer Academic Publishers, 2001
viii,297 s.

objednat
ISBN 1-4020-0370-6 (brož.)
Trends in logic : studia logica library ; [vol.] 4
Obsahuje rejstřík
Bibliografie na s. 283-294
Fuzzy logika - studie
000059900
CONTENTS // v // PREFACE vii // CHAPTER ONE/Preliminaries 1 // 1.1 Introduction 1 // 1.2 A survey of Boolean propositional logic 6 // 1.3 Boolean predicate calculus 10 // 1.4 Function symbols; varieties of algebras 15 // 1.5 Lattices and Boolean algebras 20 // 1.6 Ordered Abelian groups 22 // CHAPTER TWO / MANY-VALUED PROPOSITIONAL calculi 27 // 2.1 Continuous t-norms and their residua 27 // 2.2 The basic many-valued logic 35 // 2.3 Residuated lattices; a completeness theorem 46 // 2.4 Some additional topics 56 // CHAPTER THREE / LUKASIEWICZ PROPOSITIONAL LOGIC 63 // 3.1 Getting Lukasiewicz logic 63 // 3.2 MV-algebras; a completeness theorem 70 // 3.3 Rational Pavelka logic 79 // CHAPTER FOUR / PRODUCT LOGIC, GÖDEL LOGIC 89 // 4.1 Product logic 89 // 4.2 Gödel logic 97 // 4.3 Appendix: Boolean logic 103 // CHAPTER FIVE / MANY-VALUED PREDICATE LOGICS 109 // 5.1 The basic many-valued predicate logic 109 // 5.2 Completeness 119 // 5.3 Axiomatizing Gödel logic 124 // 5.4 Lukasiewicz and product predicate logic 127 // 5.5 Many-sorted fuzzy predicate calculi 139 // 5.6 Similarity and equality 141 // vi CONTENTS // CHAPTER SIX / Complexity and undecidability 149 // 6.1 Preliminaries 149 // 6.2 Complexity of fuzzy propositional calculi 154 // 6.3 Undecidability of fuzzy logics 161 // CHAPTER SEVEN / On approximate inference 167 // 7.1 The compositional rule of inference 168 // 7.2 Fuzzy functions and fuzzy controllers 177 // 7.3 An alternative approach to fuzzy rules 189 // CHAPTER
EIGHT / Generalized quantifiers and modalities 195 // 8.1 Generalized quantifiers in Boolean logic 195 // 8.2 Two-valued modal logics 205 // 8.3 Fuzzy quantifiers and modalities 215 // 8.4 On “probably” and “many” 228 // 8.5 More on “probably” and “many” 238 // CHAPTER NINE / MISCELLANEA 249 // 9.1 Takeuti-Titani fuzzy logic 249 // 9.2 An abstract fuzzy logic 261 // 9.3 On the liar paradox 265 // 9.4 Concluding remarks 271 // CHAPTER TEN / HISTORICAL REMARKS 277 // 10.1 Until the forties 277 // 10.2 The fifties 278 // 10.3 The sixties 279 // 10.4 The seventies 279 // 10.5 The eighties 280 // 10.6 The nineties 281 // REFERENCES 283 // INDEX // 295

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