Discovering the world with fuzzy logic: with 13 tables
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Heidelberg
Physica-Verl.
2000
|
| Series: | Studies in fuzziness and soft computing
57 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 555 S. |
| ISBN: | 3790813303 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | VILEM NOVAEK * IRINA PERFILIEVA (EDS.) DISCOVERING THE WORLD WITH FUZZY
LOGIC WITH 36 FIGURES AND 13 TABLES PHYSICA-VERLAG A SPRINGER-VERLAG
COMPANY TABLE OF CONTENTS PREFACE V PART I. FUZZY LOGIC APPROACHES TO
HUMAN-CONSISTENT SYSTEMS INTRODUCTION TO PART I 3 TOWARD A LOGIC OF
PERCEPTIONS BASED ON FUZZY LOGIC 4 LOTFI A. ZADEH 1 INTRODUCTION 4 2 THE
BASICS OF THE LOGIC OF PERCEPTIONS 9 3 REASONING WITH PERCEPTIONS *
GENERALIZED CONSTRAINT PROPAGATION 17 4 CONCLUDING REMARKS 25
UNCERTAINTY-BASED INFORMATION: A CRITICAL REVIEW 29 GEORGE J. KLIR 1
UNCERTAINTY AND INFORMATION 29 2 UNCERTAINTY FORMALIZATION 30 3
UNCERTAINTY MEASUREMENT 37 4 UNCERTAINTY UTILIZATION 44 5 CONCLUSIONS 50
PART II. STRUCTURE OF TRUTH VALUES INTRODUCTION TO PART II 57 TRIANGULAER
NORMS * BASIC PROPERTIES AND REPRESENTATION THEOREMS 63 ERICH PETER
KLEMENT, RADKO MESIAR, ENDRE PAP 1 TRIANGULAER NORMS AND CONORMS 63 2
PROPERTIES OF T-NORMS 67 3 ORDINAL SUMS 71 4 REPRESENTATION OF
CONTINUOUS T-NORMS 74 5 CONCLUDING REMARKS 80 SEMANTICS FOR FUZZY LOGIC
SUPPORTING TRUTH FUNCTIONALITY.... 82 JEFF PARIS 1 INTRODUCTION 82 2
VOTING SEMANTICS 85 3 RERANDOMISING SEMANTICS 88 4 SIMILARITY SEMANTICS
88 VIII TABLE OF CONTENTS 5 RISK, OR DIALOGUE, SEMANTICS 92 6
ACCEPTABILITY SEMANTICS 93 7 MEASUREMENT-THEORETIC JUSTIFICATIONS 96 8
APPROXIMATION SEMANTICS 96 9 IMPLICATION 99 10 CONCLUSION 102 STATES ON
PERFECT MV-ALGEBRAS 105 ANTONIO DI NOLA, GEORGE GEORGESCU, IOANA
LEU§TEAN 1 INTRODUCTION 105 2 PRELIMINARIES ON MV-ALGEBRAS 106 3
PSEUDO-SUBALGEBRAS OF AN MV-ALGEBRA 109 4 COMPLETENESS PROPERTIES 112 5
STATES ON MV-ALGEBRAS 114 6 LOCAL STATES ON PERFECT MV-ALGEBRAS 116 7
EXTENSION THEOREM 117 A GLANCE AT IMPLICATION AND T-CONDITIONAL
FUNCTIONS 126 ENRIC TRILLAS, ADOLFO R. DE SOTO, SUSANA CUBILLO 1
INTRODUCTION 126 2 PRELIMINARIES 127 3 IMPLICATION FUNCTIONS 130 4
T-CONDITIONAL GENERATING FUNCTIONS 136 5 ^/-RELATIVE T-CONDITIONALITY:
FUZZY LOGICAL T-STATES 139 6 MONOTONIE FUZZY RELATIONS, T-LOGICAL STATES
AND IMPLICATION FUNC- TIONS 143 PART III. METAMATHEMATICAL ASPECTS OF
FUZZY LOGIC INTRODUCTION TO PART III 151 ON THE METAMATHEMATICS OF FUZZY
LOGIC 155 PETR HAEJEK 1 INTRODUCTION 155 2 FUZZY PROPOSITIONAL LOGICS 157
3 PREDICATE CALCULI 167 4 COMMENTS AND CONCLUSIONS 172 FUZZY METALOGIC
FOR CRISP LOGICS 175 GIANGIACOMO GERLA 1 INTRODUCTION 175 2 ABSTRACT
FUZZY DEDUCTION SYSTEMS 176 3 FUZZY DEDUCTION SYSTEMS IN HUBERT STYLE
178 4 AN EXTENSION PRINCIPLE FOR NECESSITIES AND FUZZY HERBRAND MODELS.
180 5 ABSTRACT SIMILARITY LOGIC 182 TABLE OF CONTENTS IX 6 SIMILARITY
LOGIC ASSOCIATED WITH A CRISP LOGIC 184 7 SIMILARITY-BASED PROLOG 186 8
SEQUENT CALCULUS AND GRADED CONSEQUENCE RELATIONS 187 DEGREES OF TRUTH
AND DEGREES OF VALIDITY 192 STEPHAN LEHMKE 1 INTRODUCTION 192 2 LOGICS
OF INCOMPLETE TRUTH 198 3 LOGICS OF INCOMPLETE KNOWLEDGE 204 4 A
COMPARISON OF LOGICS OF INCOMPLETE TRUTH AND LOGICS OF INCOM- PLETE
KNOWLEDGE 1 212 5 LOGICS OF INCOMPLETE TRUTH AND INCOMPLETE KNOWLEDGE
222 6 CONCLUSIONS AND FURTHER RESEARCH 232 PART IV. FORMAL SYSTEMS OF
FUZZY LOGIC INTRODUCTION TO PART IV 239 FUZZY PROPOSITIONAL LOGIC 243
ESKO TURUNEN 1 INTRODUCTION AND PRELIMINARIES 243 2 SEMANTICS OF FUZZY
PROPOSITIONAL LOGIC 245 3 AXIOM SYSTEM FOR FUZZY PROPOSITIONAL LOGIC 254
4 COMPLETENESS OF FUZZY PROPOSITIONAL LOGIC 262 SOME CONSEQUENCES OF
HERBRAND AND MCNAUGHTON THEOREMS IN FUZZY LOGIC 271 VILEM NOVAEK, IRINA
PERFILIEVA 1 INTRODUCTION 271 2 PRELIMINARIES 272 3 SOME PROPERTIES OF
FUZZY THEORIES 274 4 HERBRAND THEOREM IN FUZZY LOGIC 277 5 MCNAUGHTON
THEOREM IN FUZZY LOGIC 281 6 FUZZY RELATIONS REPRESENTED BY FORMULAS 288
7 CONSISTENCY OF FUZZY THEORIES 290 8 CONCLUSION 295 PART V. FUZZY
QUANTIFLERS INTRODUCTION TO PART V 299 X TABLE OF CONTENTS MANY 302 PETR
HAEJEK 1 INTRODUCTION 302 2 PUZZY QUANTIFIERS 302 3 MANY 304 ON
T-QUANTIFIERS AND S-QUANTIFIERS 310 RADKO MESIAR, HELMUT THIELE 1
INTRODUCTION 310 2 CARDINAL QUANTIFIERS 311 3 T» AND S» QUANTIFIERS 314
4 T* AND S* QUANTIFIERS 318 PART VI. REASONING IN IMPRECISENESS
INTRODUCTION TO PART VI 329 REASONING ON IMPRECISELY DEFINED FUNCTIONS
331 DANIELE MUNDICI 1 PROLOGUE 331 2 THE CLASSICAL (Y H- X) PROBLEM 332
3 THE GENERAL (Y H- X) PROBLEM 336 4 DESCRIPTIONS WITH CONSTRAINTS 349
5 EPILOGUE: REVISITING THE PROLOGUE 355 6 APPENDIX: MV-ALGEBRAS,
PARTITIONS, LOGIC 357 SIMILARITY-BASED REASONING 367 FRACESC ESTEVA,
PERE GARCIA, LLUIS GODO 1 INTRODUCTION 367 2 SIMILARITY AND FUZZY SETS
369 3 UPPER APPROXIMATION MAPPINGS 370 4 GRADED ENTAILMENT RELATIONS
INDUCED BY UPPER APPROXIMATION MAPPINGS 372 5 A SIMPLE APPLICATION TO
INTERPOLATIVE REASONING 380 6 MULTI-MODAL SYSTEMS BASED ON APPROXIMATION
RELATIONS 382 7 CONCLUSIONS 393 PART VII. RELATIONAL SYSTEMS IN PUZZY
LOGIC INTRODUCTION TO PART VII 399 TABLE OF CONTENTS XI GENERALIZED
SOLVABILITY BEHAVIOUR FOR SYSTEMS OF FUZZY EQUA- TIONS 401 SIEGFRIED
GOTTWALD 1 INTRODUCTION 401 2 SOLVABILITY OF FUZZY RELATIONAL EQUATIONS
403 3 SOLVABILITY OF FUZZY ARITHMETICAL EQUATIONS 406 4 SOLVABILITY OF
SYSTEMS OF FUZZY EQUATIONS 408 5 SOLVABILITY DEGREES AND APPROXIMATE
SOLUTIONS 412 6 TOWARDS MORE DIFFICULT EQUATIONS 425 7 CONCLUDING
REMARKS 428 FUZZY POINTS, FUZZY RELATIONS AND FUZZY FUNCTIONS 431 FRANK
KLAWONN 1 INTRODUCTION 431 2 GL-MONOIDS AND FUZZY EQUALITY 432 3 FUZZY
POINTS 435 4 FUZZY FUNCTIONS 442 5 CONCLUSIONS 452 PART VIII. EXTENSIONS
AND DEPARTURES FROM FUZZY LOGIC INTRODUCTION TO PART VIII 457 FUZZY
GALOIS CONNECTIONS AND FUZZY CONCEPT LATTICES: FROM BINARY RELATIONS TO
CONCEPTUAL STRUCTURES 462 RADIM BELOHLAEVEK 1 IMPERATIVE: CONCEPTS AND
CONCEPTUAL STRUCTURES 462 2 PRELIMINARIES 463 3 FUZZY GALOIS CONNECTIONS
466 4 FUZZY CONCEPT LATTICES 469 5 SELECTED TOPICS 475 6 RETROSPECTIVE
AND PERSPECTIVE 483 7 ILLUSTRATIVE EXAMPLES 484 A UNIFIED COMPILATION
STYLE LABELLED DEDUCTIVE SYSTEM FOR MODAL, SUBSTRUCTURAL AND FUZZY
LOGICS 495 KRYSIA BRODA, ALESSANDRA RUSSO, DOV GABBAY 1 INTRODUCTION 495
2 THE CLDS APPROACH 497 3 THE ECLDS SYSTEM 508 4 THE LCLDS SYSTEM 520 5
THE FCLDS SYSTEM 535 6 CONCLUSIONS 542 AUTHOR S INDEX 549 XII TABLE OF
CONTENTS INDEX 551
|
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| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:43:40Z |
| institution | BVB |
| isbn | 3790813303 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009079935 |
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| physical | XII, 555 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Physica-Verl. |
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| series | Studies in fuzziness and soft computing |
| series2 | Studies in fuzziness and soft computing |
| spelling | Discovering the world with fuzzy logic with 13 tables Vilém Novák ... (ed.) Heidelberg Physica-Verl. 2000 XII, 555 S. txt rdacontent n rdamedia nc rdacarrier Studies in fuzziness and soft computing 57 Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Fuzzy-Logik (DE-588)4341284-1 s DE-604 Novák, Vilém 1951- Sonstige (DE-588)122261666 oth Studies in fuzziness and soft computing 57 (DE-604)BV021858135 57 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009079935&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Discovering the world with fuzzy logic with 13 tables Studies in fuzziness and soft computing Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4341284-1 (DE-588)4143413-4 |
| title | Discovering the world with fuzzy logic with 13 tables |
| title_auth | Discovering the world with fuzzy logic with 13 tables |
| title_exact_search | Discovering the world with fuzzy logic with 13 tables |
| title_full | Discovering the world with fuzzy logic with 13 tables Vilém Novák ... (ed.) |
| title_fullStr | Discovering the world with fuzzy logic with 13 tables Vilém Novák ... (ed.) |
| title_full_unstemmed | Discovering the world with fuzzy logic with 13 tables Vilém Novák ... (ed.) |
| title_short | Discovering the world with fuzzy logic |
| title_sort | discovering the world with fuzzy logic with 13 tables |
| title_sub | with 13 tables |
| topic | Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy-Logik Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009079935&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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