Fuzzy-Logik für die Diagnose: possibilistische Netze = Fuzzy logic in diagnostic decision
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Format: | Abschlussarbeit Buch |
Sprache: | German |
Veröffentlicht: |
1996
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 178 S. graph. Darst. |
Internformat
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245 | 1 | 0 | |a Fuzzy-Logik für die Diagnose |b possibilistische Netze = Fuzzy logic in diagnostic decision |c von Mihaela Ulieru |
246 | 1 | 1 | |a Fuzzy logic in diagnostic decision |
264 | 1 | |c 1996 | |
300 | |a XII, 178 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
502 | |a Darmstadt, Techn. Hochsch., Diss., 1995 | ||
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Datensatz im Suchindex
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adam_text | IMAGE 1
FUZZY LOGIC IN DIAGNOSTIC DECISION:
POSSIBILISTIC NETWORKS
DISSERTATION
ACCEPTED BY THE DEPARTMENT 19
(CONTROL ENGINEERING AND COMPUTER SCIENCE)
OF THE DARMSTADT UNIVERSITY OF TECHNOLOGY
FOR RECEIVING THE HONOUR OF A
DOKTOR-INGENIEUR (DR.-ING.)
BY
DIPL.-ING. MIHAELA ULIERU
BORN: 1. FEBRUAR 1962
REFEREE:
CORREFEREE:
DATE OF HANDING IN:
DATE OF ORAL EXAMINATION
PROF. DR.-ING. DR. H.C. ROLF ISERMANN
PROF. DR. DR. H.C. HANS-JUERGEN ZIMMERMANN
18.1.1995
17.5.1995
D 17
DARMSTAEDTER DISSERTATION
1996
MOTTO
HE THAT WILL NOT APPLY NEW REMEDIES MUST EXPECT NEW EVILS;
FOR TIME IS THE GREATEST INNOVATOR .
- FRANCIS BACON -*
IMAGE 2
VII
CONTENTS
LIST OF -SYMBOLS XI
1. BACKGROUND, MOTIVATION AND STATE OF THE ART IN FAULT DIAGNOSIS 1 1.1.
THE REALTIONSHIP FAULT-FAILURE/MALFUNCTION AND ERROR 1 1.2. A
CONTINUOUS-DYNAMIC BEHAVIOURAL PERSPECTIVE TO PROCESS DIAGNOSIS 2
1.3. THE UNSHARP BOUNDARY IN DIAGNOSIS 3
1.4. THE MAIN TASKS OF PROCESS DIAGNOSIS 4
1.4.1. FAULT DETECTION 4
1.4.2. FAULT DECISION 5
1.4.3. ON CAUSALITY AND ITS IMPACT ON THE DIAGNOSTIC INFORMATION 5
1.5. FROM THE FAULT TO ITS MANIFESTATIONS: MODELING THE DIAGNOSTIC
DETERMINISTIC PHENOMENOLOGY BY USING THE FAULT TREE AS A CAUSAL
REPRESENTATIONAL SUPPORT 8
1.5.1. THE CAUSAL TREE DIAGNOSTIC MODEL 8
1.5.2. LIMITATIONS OF THE PROBABILISTIC FAULT TREE PROCESSING...9 1.6.
COMPUTER ASSISTED FAULT DIAGNOSIS 10
1.6.1. AUTOMATIC FAULT DETECTION 10
1.6.2. AUTOMATIC FAULT DECISION 12
1.7. INTEGRATION OF FAULT DETECTION AND DECISION TECHNIQUES - A MAIN
REQUIREMENT FOR AUTOMATIC PROCESS DIAGNOSIS 15
1.8. MOTIVATION: THE ROLE OF FUZZY LOGIC BASED TECHNIQUES IN DIAGNOSIS
17
1.9. STATE-OF-THE-ART IN FUZZY DIAGNOSIS 18
REFERENCES 21
2. FUZZY: THE LOGIC OF POSSIBILISTIC REASONING 24
2.1. THE UNSHARP BOUNDARY 24
2.2. THE CONCEPT OF FUZZY SUBSET 26
2.2.1. ABSOLUTE BELONGING 26
2.2.2. FROM YES/NO TO MORE OR LESS: PARTIAL BELONGING 27 2.2.3. A-CUTS
28
2.3. OPERATIONS ON FUZZY SUBSETS 28
2.3.1. EQUALITY 29
2.3.2. CONTAINMENT (INCLUSION) 29
2.3.3. INTERSECTION 29
2.3.4. UNION 29
2.3.5. COMPLEMENT 29
2.4. MODELING DUALITY AT THE BOUNDARY 31
2.4.1. JUMPING AROUND THE CRISP BOUNDARY 31
2.4.2. BRAKING THE CRISP BOUNDARY 31
2.5. PERSPECTIVES ON FUZZY SUBSETS 32
2.5.1. COMPATIBILITY FUNCTION 32
2.5.2. FUZZY RESTRICTION 33
2.5.3. POSSIBILITY DISTRIBUTION 33
2.6. EMBEDDING HUMAN COGNITION WITHIN MACHINES 35
2.6.1. THE CONCEPT OF LINGUISTIC VARIABLE 35
2.6.2. INTERNAL REPRESENTATION OF THE LINGUISTIC VARIABLES 37 2.6.3. THE
CONCEPT OF FUZZY CONDITIONAL STATEMENT 37
2.6.4. CHAINING THE FUZZY IF-THEN RULES THROUGH FUZZY COMPOSITION 41
2.6.5. FUZZY MODEIS 42
2.7. EMBEDDING HUMAN THINKING WITHIN MACHINES 43
IMAGE 3
VIII
2.7.1. MEASURES OF SIMILARITY 43
2.7.2. SIMILARITY EVALUATION BY APPROXIMATE MATCHING 46 2.7.3.
GENERALIZED MODUS PONENS 46
2.7.4. GENERALIZED MODUS TOLLENS 48
2.8. THE MILE STONES OF POSSIBILISTIC REASONING 49
2.8.1. PARALLEL MATCHING 49
2.8.2. PARTIAL MATCHING 50
2.8.3. WEIGHTING 50
2.8.4. INTERPOLATION 50
2.8.5. DEFUZZIFICATION 51
2.9. WHAT MAKES THE DIFFERENCE FROM THE SYMBOLIC SYSTEMS? 51 REFERENCES
53
3. PROBABILITIES-POSSIBILITIES AS UNCERTAINTY MEASURES IN DIAGNOSIS 56
3.1. THE MULTIDIMENSIONAL FACETS OF UNCERTAINTY 56
3.2. PROBLEM FORMULATION 56
3.3. PROBABILITY MEASURES IN DIAGNOSIS 59
3.4. POSSIBILITY MEASURES IN DIAGNOSIS 61
3.5. VIS-A-VIS PROBABILISTIC AND POSSIBILISTIC TECHNIQUES 64 3.5.1. THE
PARTICULAR TYPE OF FUZZY MEASURE WHICH THEY DEFINE - 64 3.5.2. ASESSMENT
OF SYSTEM S BEHAVIOUR 66
3.5.3. INTERPRETATION 66
3.5.4. CONSISTENCY PRINCIPLE 66
3.5.5. APPROXIMATE REASONING ACCOMPLISHMENTS CONCERNING UNCERTAINTY
MANAGEMENT 67
3.6. PROBABILITIES-POSSIBILITIES FACING THE DIAGNOSTIC TASK 67 3.6.1.
UNCERTAINTY MANAGEMENT 68
3.6.2. RATIONAL FRAME 68
3.6.3. REVERSIBILITY PROBABILISTIC-POSSIBILISTIC FORMALIZATION..68 3.7.
CONCLUSIONS 68
REFERENCES 69
4. PROBABILISTIC-CAUSAL (BAYESIAN) NETWORKS IN DIAGNOSTIC DECISION 71
4.1. PROBLEM FORMULATION 71
4.2. CAUSAL PROBABILISTIC NETWORKS 72
4.3. BAYESIAN INFERENCE IN DIAGNOSTIC DECISION 74
4.3.1. THE MAIN STEPS OF THE BAYESIAN APPROACH 74
4.3.2. DIAGNOSTIC INFERENCE ON BAYESIAN TREES 77
4.3.3. SIMPLIFIED BAYESIAN INFERENCE 79
4.4. LIMITATIONS OF THE PROBABILISTIC APPROACH IN COPING WITH THE
DIAGNOSTIC DECISION 80
4.4.1. IS THE A-PRIORI PROBABILISTIC INFORMATION AVAILABLE? 81 4.4.2. DO
THE ASSUMPTIONS OF EVENT INDEPENDENCE (MUTUAL EXCLUSIVITY) ALWAYS HOLD?
81
4.4.3. DO THE AXIOMS OF PROBABILITY MEASURE HOLD? (DOGMA OF PRECISION)
81
4.4.4. WHAT ABOUT THE COMPUTATIONAL COMPLEXITY? 81
4.4.5. IS GAMBLING A RATIONAL ACT? 82
4.5. EXTENSION TO NETWORK STRUCTURES 83
4.6. CONCLUSIONS 84
REFERENCES 84
5. POSSIBILISTIC NETWORKS 86
5.1. POSSIBILISTIC CAUSAL NETWORKS 86
5.2. THE POSSIBILISTIC MODEL 88
5.3. THE PARTICULARITIES OF POSSIBILISTIC INFERENCE 90
5.4. SIGNIFICANT PARTICULARIZATIONS 94
5.5. FROM BELIEF PROPAGATION TO PARALLEL ACTIVATION 94
IMAGE 4
IX
5.6. GENERALIZED INFERENCE IN POSSIBILISTIC TREES 95
5.7. SIMPLIFIED REASONING ON THE TREE 99
5.8. ILLUSTRATION 99
5.8.1. GENERAL CASE 99
5.8.2. SIMPLIFIED REASONING 101
5.9. SIGNIFICANT PARTICULAR CASES 102
5.10. EQUIVALENCE BAYESIAN-POSSIBILISTIC INFERENCE 103
5.11. EXTENSION TO NETWORK STRUCTURES 104
5.11.1. POLYTREES 104
5.11.2. MULTIPLY CONNECTED NETWORKS 106
5.11.3. CYCLIC NETWORKS 108
5.12. ARE THERE ADVANTAGES OF THE POSSIBILISTIC FRAME? 109
5.13. CONCLUSIONS 110
REFERENCES 110
6. DIAGNOSTIC DECISION BY POSSIBILISTIC REASONING ON TREE-LIKE
STRUCTURES 112
6.1. PROBLEM FORMULATION 112
6.2. THE POSSIBILISTIC DIAGNOSTIC MODEL 113
6.2.1. DECOMPOSABILITY OF THE POSSIBILISTIC TREE 113
6.2.2. DATA COMPRESSION 116
6.3. POSSIBILISTIC DIAGNOSTIC REASONING 118
6.3.1. MATCHING THE POSSIBILISTIC MODEL WITH THE CURRENT SYMPTOMS 118
6.3.2. THE GLOBAL EXPLANATORY FAULT POSSIBILITY 120
6.4. MAKING THE DIAGNOSTIC DECISION 121
6.4.1. FAULT CANDIDATES GENERATION 121
6.4.2. VALIDATION -OF THE FAULT CANDIDATES 122
6.5. ILLUSTRATION AND INVESTIGATIONS ON A TUTORIAL EXAMPLE 123 6.5.1.
THE DIAGNOSTIC MODEL 123
6.5.2. APPROXIMATE REASONING ON THE POSSIBILISTIC TREE 126 6.5.3.
AGGREGATION ON THE TREE S STRUCTURE 128
6.5.4. VALIDATION 128
6.6. CONSIDERATIONS OF IMPLEMENTATION 131
6.7. MANAGING FAULT S DYNAMICS 132
6.7.1. DYNAMIC FUZZY FAULT TREE 132
6.7.2. INCIPIENT FAULTS DYNARAICS 135
6.7.3. MONITORING INTERMITTENT FAULTS 135
6.7.4. MULTIPLE FAULTS WITH COMPENSATORY EFFECTS 135
6.8. CONCLUSIONS 135
REFERENCES 137
7. INTEGRATED FAULT DETECTION AND DIAGNOSIS BY POSSIBILISTIC DATA FUSION
139
7.1. INTEGRATED FAULT DIAGNOSIS 139
7.2. INTEGRATED ANALYTIC SYMPTOMS GENERATION 141
7.3. FUSION OF SYMPTOM INFORMATION 142
7.4. INTEGRATION OF THE FAULT-SYMPTOMS CAUSALITIES WITHIN A FUZZY
RELATIONAL MATRIX 144
7.5. PERFORMING ON-LINE DIAGNOSIS 144
7.6. APPLICATION: DIAGNOSIS OF A DC MOTOR 146
7.6.1. DESIGNING THE POSSIBILISTIC DIAGNOSTIC MODEL 146 7.6.2.
DIAGNOSTIC RESULTS 152
7.7. CONCLUSIONS 163
REFERENCES 164
8. SUMMARY 166
IMAGE 5
APPENDIX 168
A2.1. OPERATIONS ON FUZZY SETS - GENERALIZATION 168
A2.1.1. FUZZY INTERSECTION 168
- A2.1.2. FUZZY UNION 168
A2.1.3. FUZZY COMPLEMENT 169
A2.2. FUZZY RELATIONS 169
A2.2.1. PRELIMINARY CONCEPTS 169
A2.2.2. FUZZY RELATION 170
A2.3. FUZZY LOGIC AS AN EXTENSION OF MULTIVALUED LOGIC 172
A2.3.1. BASIC CONCEPTS OF PROPOSITIONAL LOGIC 172
A2.3.2. THE ISOMORPHISMS: SET THEORY - BOOLEAN ALGEBRA - PROPOSITIONAL
LOGIC 173
A2.3.3. FROM CLASSICAL LOGIC TO FUZZY LOGIC 175
A2.3.4. THE EXTENSION PRINCIPLE 177
REFERENCES 178
|
any_adam_object | 1 |
author | Ulieru, Mihaela |
author_facet | Ulieru, Mihaela |
author_role | aut |
author_sort | Ulieru, Mihaela |
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building | Verbundindex |
bvnumber | BV011605955 |
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ctrlnum | (OCoLC)614165402 (DE-599)BVBBV011605955 |
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format | Thesis Book |
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genre_facet | Hochschulschrift |
id | DE-604.BV011605955 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:12:39Z |
institution | BVB |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007818367 |
oclc_num | 614165402 |
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physical | XII, 178 S. graph. Darst. |
publishDate | 1996 |
publishDateSearch | 1996 |
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spelling | Ulieru, Mihaela Verfasser aut Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision von Mihaela Ulieru Fuzzy logic in diagnostic decision 1996 XII, 178 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Darmstadt, Techn. Hochsch., Diss., 1995 Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Diagnosesystem (DE-588)4149458-1 gnd rswk-swf Unsicheres Schließen (DE-588)4361044-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Diagnosesystem (DE-588)4149458-1 s Fuzzy-Logik (DE-588)4341284-1 s Unsicheres Schließen (DE-588)4361044-4 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007818367&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Ulieru, Mihaela Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision Fuzzy-Logik (DE-588)4341284-1 gnd Diagnosesystem (DE-588)4149458-1 gnd Unsicheres Schließen (DE-588)4361044-4 gnd |
subject_GND | (DE-588)4341284-1 (DE-588)4149458-1 (DE-588)4361044-4 (DE-588)4113937-9 |
title | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision |
title_alt | Fuzzy logic in diagnostic decision |
title_auth | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision |
title_exact_search | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision |
title_full | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision von Mihaela Ulieru |
title_fullStr | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision von Mihaela Ulieru |
title_full_unstemmed | Fuzzy-Logik für die Diagnose possibilistische Netze = Fuzzy logic in diagnostic decision von Mihaela Ulieru |
title_short | Fuzzy-Logik für die Diagnose |
title_sort | fuzzy logik fur die diagnose possibilistische netze fuzzy logic in diagnostic decision |
title_sub | possibilistische Netze = Fuzzy logic in diagnostic decision |
topic | Fuzzy-Logik (DE-588)4341284-1 gnd Diagnosesystem (DE-588)4149458-1 gnd Unsicheres Schließen (DE-588)4361044-4 gnd |
topic_facet | Fuzzy-Logik Diagnosesystem Unsicheres Schließen Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007818367&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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