Fuzzy and neural interactions and applications

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Hauptverfasser: Buckley, James J. 1936- (VerfasserIn), Feuring, Thomas 1964- (VerfasserIn)
Format: Buch
Sprache:German
Veröffentlicht: Heidelberg [u.a.] Physica-Verl. 1999
Schriftenreihe:Studies in fuzziness and soft computing 25
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Datensatz im Suchindex

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adam_text JAMES J. BUCKLEY * THOMAS FEURING FUZZY AND NEURAL: INTERACTIONS AND APPLICATIONS WITH 59 FIGURES AND 3 TABLES PHYSICA-VERLAG A SPRINGER-VERLAG COMPANY TABLE OF CONTENTS 1. INTRODUCTION 1 2. FUZZY SETS AND FUZZY FUNCTIONS 3 2.1 FUZZY SETS 3 2.1.1 FUZZY NUMBERS 3 2.1.2 DISCRETE FUZZY SETS 4 2.1.3 ALPHA-CUTS 5 2.1.4 INEQUALITIES 6 2.1.5 FUZZY RELATION 6 2.2 ALGEBRA OF FUZZY SETS 6 2.2.1 TF-NORMS 6 2.2.2 SET ALGEBRA 8 2.2.3 PROPERTIES 8 2.3 FUZZY ARITHMETIC 13 2.3.1 EXTENSION PRINCIPLE 13 2.3.2 INTERVAL ARITHMETIC 14 2.3.3 FUZZY ARITHMETIC . 15 2.4 FUZZY EXPRESSIONS 16 2.5 FUZZY FUNCTIONS 17 2.5.1 EXTENSION PRINCIPLE 17 2.5.2 ALPHA-CUTS AND INTERVAL ARITHMETIC 17 2.5.3 DIFFERENCES 18 REFERENCES CHAPTER 2 19 3. NEURAL NETS 21 3.1 UNIVERSAL APPROXIMATORS 25 3.2 BACKPROPAGATION ALGORITHM 25 3.2.1 BACKWARD PASS 27 REFERENCES CHAPTER 3 33 4. FIRST APPROXIMATION RESULTS 35 4.1 FUZZY EXPERT SYSTEMS 35 4.2 DISCRETE FUZZY EXPERT SYSTEM 36 4.3 FUZZY CONTROLLER 39 VIII TABLE OF CONTENTS 4.3.1 SUGENO-TYPE FC 40 4.3.2 EXPERT SYSTEM 41 4.3.3 OTHER FUZZY CONTROLLERS 42 4.4 SUMMARY * 42 4.5 APPLICATIONS 45 REFERENCES CHAPTER 4 47 5. HYBRID NEURAL NETS 49 5.1 DISCRETE FUZZY EXPERT SYSTEMS 50 5.1.1 FITA 51 5.1.2 FATI 52 5.2 FUZZY CONTROLLER 55 5.2.1 SUGENO 55 5.2.2 EXPERT SYSTEM 57 5.2.3 MAMDANI 58 5.3 SUMMARY 61 REFERENCES CHAPTER 5 63 6. NEURAL NETS SOLVE FUZZY PROBLEMS 65 6.1 FUZZY EQUATIONS 67 6.1.1 TRAINING JUSTIFICATION 71 6.2 APPROXIMATE FUZZY FUNCTIONS 71 6.3 SUMMARY 73 REFERENCES CHAPTER 6 75 7. FUZZY NEURAL NETS 77 7.1 EVALUATION 78 7.1.1 -EXTENSION PRINCIPLE 78 7.1.2 ALPHA-CUTS PLUS INTERVAL ARITHMETIC 79 7.1.3 MONOTONE 80 7.2 TRAINING 80 7.2.1 FUZZIFIED DELTA RULE 83 7.2.2 BACKPROPAGATION 84 7.2.3 TWO STEP TRAINING 85 7.2.4 EVOLUTIONARY ALGORITHM 88 7.3 SUMMARY 93 REFERENCES CHAPTER 7 95 8. SECOND APPROXIMATION RESULTS 97 8.1 UNIVERSAL APPROXIMATORS 98 8.1.1 EXTENSION PRINCIPLE 99 8.1.2 SIMPLIFIED FUZZY ARITHMETIC 101 8.1.3 CAPABILITIES 103 8.2 APPROXIMATIONS 105 8.2.1 FUZZY EXPERT SYSTEMS 105 TABLE OF CONTENTS IX 8.2.2 FUZZY INPUT-OUTPUT CONTROLLERS 106 8.3 SUMMARY 107 REFERENCES CHAPTER 8 109 9. HYBRID FUZZY NEURAL NETS ILL 9.1 UNIVERSAL APPROXIMATOR 112 REFERENCES CHAPTER 9 . 117 10. APPLICATIONS OF HYBRID FUZZY NEURAL NETS AND FUZZY NEURAL NETS 119 10.1 FUZZY EXPERT SYSTEM 119 10.2 FUZZY INPUT-OUTPUT CONTROLLERS 122 10.3 FUZZY FUNCTIONS 122 10.4 SUMMARY ON HFNNS 124 10.5 OVERFITTING 125 10.5.1 COVERING 125 10.5.2 OUTPUT ESTIMATION 126 10.5.3 OVERFITTING FOR CRISP NEURAL NETS 128 REFERENCES CHAPTER 10 131 11. FUZZY TEACHING MACHINE 133 11.1 REAL WORLD 133 11.2 VERBAL EVALUATION 133 11.3 INPUT TRANSLATOR 135 11.4 FUZZY EXPERT SYSTEM 136 11.5 OUTPUT TRANSLATOR 138 11.6 EXAMPLE 138 11.6.1 TRAINING OF THE OUTPUT TRANSLATOR 142 11.6.2 RESULTS 144 REFERENCES CHAPTER 11 147 12. SUMMARY, FUTURE RESEARCH AND CONCLUSIONS 149 12.1 SUMMARY 149 12.1.1 CHAPTER 2 149 12.1.2 CHAPTER 3 150 12.1.3 CHAPTER 4 150 12.1.4 CHAPTER 5 150 12.1.5 CHAPTER 6 151 12.1.6 CHAPTER 7 151 12.1.7 CHAPTER 8 152 12.1.8 CHAPTER 9 153 12.1.9 CHAPTER 10 153 12.1.10CHAPTER 11 153 12.2 FUTURE RESEARCH 154 12.2.1 CHAPTER 2 154 X TABLE OF CONTENTS 12.2.2 CHAPTER 4 154 12.2.3 CHAPTER 5 154 12.2.4 CHAPTER 6 155 12.2.5 CHAPTER 7 155 12.2.6 CHAPTER 8 155 12.2.7 CHAPTER 9 155 12.2.8 CHAPTER 10 155 12.2.9 CHAPTER 11 155 12.3 CONCLUSIONS 155 REFERENCES CHAPTER 12 157 INDEX 159
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publishDate 1999
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series Studies in fuzziness and soft computing
series2 Studies in fuzziness and soft computing
spellingShingle Buckley, James J. 1936-
Feuring, Thomas 1964-
Fuzzy and neural interactions and applications
Studies in fuzziness and soft computing
Soft computing
Fuzzy systems
Neural networks (Computer science)
Neuronales Netz (DE-588)4226127-2 gnd
Fuzzy-Logik (DE-588)4341284-1 gnd
subject_GND (DE-588)4226127-2
(DE-588)4341284-1
title Fuzzy and neural interactions and applications
title_auth Fuzzy and neural interactions and applications
title_exact_search Fuzzy and neural interactions and applications
title_full Fuzzy and neural interactions and applications James J. Buckley ; Thomas Feuring
title_fullStr Fuzzy and neural interactions and applications James J. Buckley ; Thomas Feuring
title_full_unstemmed Fuzzy and neural interactions and applications James J. Buckley ; Thomas Feuring
title_short Fuzzy and neural
title_sort fuzzy and neural interactions and applications
title_sub interactions and applications
topic Soft computing
Fuzzy systems
Neural networks (Computer science)
Neuronales Netz (DE-588)4226127-2 gnd
Fuzzy-Logik (DE-588)4341284-1 gnd
topic_facet Soft computing
Fuzzy systems
Neural networks (Computer science)
Neuronales Netz
Fuzzy-Logik
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008337370&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV021858135
work_keys_str_mv AT buckleyjamesj fuzzyandneuralinteractionsandapplications
AT feuringthomas fuzzyandneuralinteractionsandapplications