Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boca Raton [u.a.]
CRC Press
1995
|
| Ausgabe: | 1. printing |
| Schriftenreihe: | Systems engineering series
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015144940&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | 232 S. graph. Darst. |
| ISBN: | 0849378338 |
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Datensatz im Suchindex
| _version_ | 1819354137786056704 |
|---|---|
| adam_text | FUZZY RULE-BASED MODELING WITH APPLICATIONS TO GEOPHYSICAL, BIOLOGICAL
AND ENGINEERING SYSTEMS ANDRAS BARDOSSY LUCIEN DUCKSTEIN CRC PRESS BOCA
RATON NEW YORK LONDON TOKYO CONTENTS 1 INTRODUCTION 1 2 BASIC ELEMENTS
AND DEFINITIONS S 2.1 FUZZY SETS: DEFINITIONS AND PROPERTIES 6 2.1.1
MEMBERSHIP FUNCTIONS 6 2.1.2 OPERATIONS ON FUZZY SETS 9 2.1.3 LINGUISTIC
VARIABLES 13 2.1.4 LINGUISTIC MODIFIERS 14 2.2 FUZZY NUMBERS 16 2.2.1
OPERATIONS ON FUZZY NUMBERS 24 2.2.2 FUZZY MEAN AND MEDIAN 26 2.2.3
DISTANCE BETWEEN FUZZY NUMBERS 31 2.3 ASSESSMENT OF THE MEMBERSHIP
FUNCTIONS 36 2.4 FUZZY SETS, POSSIBILITIES AND PROBABILITIES 37 2.4.1
POSSIBILITY 38 2.4.2 MEMBERSHIP FUNCTIONS VERSUS PROBABILITIES 39 3.
FUZZY RULES 43 3.1 THE STRUCTURE OF A FUZZY RULE 44 3.1.1 THE FORM OF A
FUZZY RULE 45 3.1.2 IMPLICATION OPERATORS 45 3.1.3 DEGREE OF FULFILLMENT
OF A FUZZY RULE 47 3.2 COMBINATION OF FUZZY RULE RESPONSES 52 3.2.1
MINIMUM COMBINATIONS 53 3.2.2 MAXIMUM COMBINATIONS 55 3.2.3 ADDITIVE
COMBINATIONS 55 3.2.4 PROPERTIES OF THE COMBINATION METHODS 57 3.2.5
OTHER COMBINATION METHODS 58 3.2.6 COMPARISON OF THE COMBINATION METHODS
58 3.3 DEFUZZIFICATION 70 3.3.1 DEFUZZIFICATION METHODS 71 3.4 CASE OF
FUZZY PREMISES 75 3.4.1 FUZZY PREMISES * CRISP RESPONSE 76 3.4.2 FUZZY
PREMISES * FUZZY RESPONSES 77 3.5 RULES WITH MULTIPLE RESPONSES 79 RULE
SYSTEMS 81 4.1 COMPLETENESS AND REDUNDANCY 82 4.1.1 COMPLETENESS 82
4.1.2 REDUNDANCY 86 4.2 VARIABLES TO BE USED FOR RULE SYSTEMS 88 4.2.1
HYBRID RULE SYSTEMS 88 4.2.2 INTERACTION OF VARIABLES 89 4.3 RULES AND
CONTINUOUS FUNCTIONS 90 4.3.1 CONTINUITY OF RULE SYSTEM RESPONSE
FUNCTIONS 90 4.3.2 SMOOTHNESS OF RULE SYSTEM RESPONSE FUNCTIONS 98 4.4
MEMBERSHIP FUNCTIONS IN RULE SYSTEMS 99 4.4.1 RESPONSE MEMBERSHIP
FUNCTIONS 99 4.4.2 ARGUMENT MEMBERSHIP FUNCTIONS 100 4.5 SENSITIVITY OF
THE RESPONSE FUNCTIONS 101 RULE CONSTRUCTION 103 5.1 EXPLICIT RULE
SPECIFICATION, 103 5.2 DERIVING RULE SYSTEMS FROM DATASETS 107 5.3 KNOWN
RULE STRUCTURE 108 5.3.1 THE TRAINING SET 108 5.3.2 THE COUNTING
ALGORITHM 109 5.3.3 THE WEIGHTED COUNTING ALGORITHM 110 5.3.5 COMPARISON
OF THE ALGORITHMS 113 5.4 PARTIALLY EXPLICIT RULE STRUCTURES 116 5.4.1
EXTENSION OF EXPERT DEFINED RULES 116 5.4.2 THE MODIFIED LEAST SQUARES
ALGORITHM 118 5.4.3 UPDATING A PRIORI GIVEN RULES 118 5.5 UNKNOWN RULE
STRUCTURE 120 5.5.1 ELEMENTS TO BE DETERMINED 120 5.5.2 THE B-CUT
ALGORITHM 121 5.5.3 LEAST SQUARES RULE ESTIMATION 123 5.5.4 OTHER
METHODS 124 5.6 DERIVING RULE SYSTEMS FROM FUZZY DATA 124 5.6.1 FUZZY
PREMISES 125 5.6.2 FUZZY RESPONSES 126 5.6.3 FUZZY PREMISES AND FUZZY
RESPONSES 128 5.6.4 ADDITIONAL REMARKS 128 5.7 RULE VERIFICATION 128 5.8
REMOVING UNNECESSARY RULES 132 FUZZY RULE-BASED MODELING VERSUS FUZZY
CONTROL 137 6.1 PRINCIPLES OF FUZZY CONTROL 138 6.2 EXAMPLES OF FUZZY
CONTROL 140 6.2.1 INVERTED PENDULUM 140 6.2.2 AUTOMATIC TRAIN OPERATION
SYSTEM 143 6.3 FUZZY CONTROL AND FUZZY RULE-BASED MODELING 144 6.3.1
CLOSED LOOP VERSUS OPEN LOOP 144 6.3.2 FUZZY SET MEMBERSHIP FUNCTION
ASSESSMENT 144 6.3.3 DERIVATION OF RULES 144 6.3.4 RULE COMBINATION AND
DEFUZZIFICATION 146 6.3.5 FURTHER REMARKS 146 7 RULE SYSTEMS WITH
DISCRETE RESPONSES 149 7.1 COMBINATION OF DISCRETE CONSEQUENCE TYPE
RULES 149 7.1.1 MINIMUM COMBINATIONS 150 7.1.2 MAXIMUM COMBINATIONS 150
7.1.3 ADDITIVE COMBINATIONS 151 7.2 RULE ASSESSMENT 153 7.3 APPLICATION
TO WEATHER CLASSIFICATION 155 7.3.1 CLASSIFICATIONS APPROACHES 156 7.3.2
NUMERICAL EXAMPLE 160 7.3.3 USE FOR PRECIPITATION MODELING 161 8
APPLICATION TO TIME SERIES 16 7 8.1 RULE ASSESSMENT 167 8.1.1 ADAPTIVE
RULE ASSESSMENT 167 8.1.2 RULE ASSESSMENT FROM TRAJECTORIES 168 8.2
EXAMPLE: WATER DEMAND FORECASTING 169 8.2.1 THE MODEL 170 8.2.2
COMPARISON TO OTHER MODELS 172 8.2.3 APPLICATION TO FORECASTING 174 8.3
EXAMPLE: DAILY MEAN TEMPERATURE 174 9 APPLICATION TO DYNAMICAL PHYSICAL
SYSTEMS 179 9.1 APPLICATION TO SOIL WATER MOVEMENT 180 9.1.1 APPLICATION
183 9.1.2 EXTENSION TO TWO AND THREE DIMENSIONS 187 9.1.3 COMPARISON TO
NUMERICAL SOLUTIONS 188 9.1.4 DISCUSSION 188 10 OTHER APPLICATIONS 193
10.1 APPLICATION TO MEDICAL DIAGNOSIS 193 10.1.1 CONSTRUCTION OF THE
QUESTIONNAIRE 194 10.1.2 INFORMATION ACQUISITION 194 10.1.3 TARGET
DEFINITION 196 10.1.4 SELECTION OF METHOD EVALUATION AND INTERNAL
CONSISTENCY CRITERIA 197 10.1.5 MEMBERSHIP FUNCTION CONSTRUCTION AND
DISCRIMINANT PARAMETER SELECTION 197 10.1.6 FUZZY RULE CONSTRUCTION AND
PRIOR SENSITIVITY ANALYSIS 200 10.1.7 APPLICATION OF THE FUZZY RULE TO
THE VALIDATION SET 202 10.1.8 DISCUSSION AND CONCLUSIONS 202 10.2
SUSTAINABLE RESERVOIR OPERATION 207 10.2.1 SUSTAINABLE DEVELOPMENT 207
10.2.2 FUZZY RESERVOIR MODEL AND RESULTS 208 10.2.3 DISCUSSION AND
CONCLUSIONS 212 REFERENCES 215 APPENDIX A: PROOFS OF SELECTED
PROPOSITIONS 223 INDEX 231
|
| any_adam_object | 1 |
| author | Duckstein, Lucien Bárdossy, András |
| author_facet | Duckstein, Lucien Bárdossy, András |
| author_role | aut aut |
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| author_variant | l d ld a b ab |
| building | Verbundindex |
| bvnumber | BV021929783 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)635342201 (DE-599)BVBBV021929783 |
| discipline | Mathematik |
| edition | 1. printing |
| format | Book |
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| id | DE-604.BV021929783 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:45:06Z |
| institution | BVB |
| isbn | 0849378338 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015144940 |
| oclc_num | 635342201 |
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| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 232 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Systems engineering series |
| spellingShingle | Duckstein, Lucien Bárdossy, András Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems Fuzzy-Logik (DE-588)4341284-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd |
| subject_GND | (DE-588)4341284-1 (DE-588)4137304-2 (DE-588)4041421-8 (DE-588)4395755-9 (DE-588)4114528-8 (DE-588)4170297-9 |
| title | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_auth | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_exact_search | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_full | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_fullStr | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_full_unstemmed | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_short | Fuzzy rule-based modeling with applications to geophysical, biological and engineering systems |
| title_sort | fuzzy rule based modeling with applications to geophysical biological and engineering systems |
| topic | Fuzzy-Logik (DE-588)4341284-1 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd Naturwissenschaften (DE-588)4041421-8 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd Modellierung (DE-588)4170297-9 gnd |
| topic_facet | Fuzzy-Logik Ingenieurwissenschaften Naturwissenschaften Fuzzy-Regelung Mathematisches Modell Modellierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015144940&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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