An introduction to fuzzy logic and fuzzy sets: with 14 tables
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Heidelberg ; New York
Physica-Verl.
2002
|
| Schriftenreihe: | Advances in soft computing
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009621494&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 284 S. graph. Darst. |
| ISBN: | 3790814474 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | JAMES J. BUCKLEY ESFANDIAR ESLAMI AN INTRODUCTION TO FUZZY LOGIC AND
FUZZY SETS WITH 50 FIGURES AND 14 TABLES PHYSICA-VERLAG A
SPRINGER-VERLAG COMPANY CONTENTS 1 INTRODUCTION 1 2 LOGIC 5 2.1
INTRODUCTION 5 2.2 PROPOSITIONAL LOGIC 5 2.2.1 EXERCISES 10 2.3 CRISP
SETS 12 2.3.1 EXERCISES 15 2.4 FUZZY LOGIC 17 2.4.1 EXERCISES 19 3 FUZZY
SETS 21 3.1 INTRODUCTION 21 3.2 FUZZY SETS 21 3.2.1 EXERCISES . . . . -
29 3.3 T-NORMS, T-CONORMS 31 3.3.1 EXERCISES 36 3.4 ALGEBRA OF FUZZY
SETS 38 3.4.1 EXERCISES 40 3.5 MIXED FUZZY LOGIC 42 3.5.1 EXERCISES 44
3.6 ALPHA-CUTS 46 3.6.1 EXERCISES 48 3.7 DISTANCE BETWEEN FUZZY SETS 50
3.7.1 EXERCISES 52 4 FUZZY NUMBERS 55 4.1 INTRODUCTION 55 4.2 FUZZY
NUMBERS 55 4.2.1 EXERCISES 60 4.3 FUZZY ARITHMETIC 63 4.3.1 EXTENSION
PRINCIPLE 63 EXERCISES 66 VIII CONTENTS 4.3.2 INTERVAL ARITHMETIC 68
EXERCISES 69 4.3.3 ALFA-CUTS AND INTERVAL ARITHMETIC 71 EXERCISES 74
4.3.4 PROPERTIES OF FUZZY ARITHMETIC 76 EXERCISES 78 4.4 FUZZY MAX AND
MIN 79 4.4.1 EXERCISES 82 4.5 INEQUALITIES . 84 4.5.1 EXERCISES 89 4.6
DEFUZZIFICATION 91 4.6.1 EXERCISES 93 5 FUZZY EQUATIONS 95 5.1
INTRODUCTION 95 5.2 LINEAR EQUATIONS 95 5.2.1 CLASSICAL SOLUTION 96
5.2.2 EXTENSION PRINCIPLE SOLUTION 97 5.2.3 ALFA-CUT AND INTERVAL
ARITHMETIC SOLUTION 99 5.2.4 EXERCISES 101 5.3 OTHER FUZZY EQUATIONS 102
5.3.1 EXERCISES 106 6 FUZZY INEQUALITIES 109 6.1 INTRODUCTION^ *
_*_**_*_ 109 6.2 SOLVING A * X -I- B C 109 6.3 A-X 2 + B-X + C D (OR
D) 112 6.3.1 EXERCISES 114 7 FUZZY RELATIONS 115 7.1 INTRODUCTION 115
7.2 DEFINITIONS 115 7.2.1 EXERCISES 120 7.3 TRANSITIVE CLOSURE 122 7.3.1
EXERCISES 126 7.4 FUZZY EQUIVALENCE RELATION 129 7.4.1 EXERCISES 132 7.5
FUZZY RELATION EQUATIONS F 134 7.5.1 EXERCISES 138 8 FUZZY FUNCTIONS 141
8.1 INTRODUCTION 141 8.2 EXTENSION PRINCIPLE 141 8.2.1 EXERCISES 147 8.3
ALPHA-CUTS AND INTERVAL ARITHMETIC 150 CONTENTS IX 8.3.1 EXERCISES 153
8.4 TYPES OF FUZZY FUNCTIONS 155 8.4.1 EXERCISES 161 8.5 INVERSE
FUNCTIONS 163 8.5.1 EXERCISES 166 8.6 DERIVATIVES 168 8.6.1 EXERCISES
173 9 FUZZY PLANE GEOMETRY ^ 175 9.1 EXERCISES 181 10 FUZZY TRIGONOMETRY
185 10.1 INTRODUCTION 185 10.2 STANDARD FUZZY TRIGONOMETRY 185 10.2.1
EXERCISES 190 10.3 HYPERBOLIC TRIGONOMETRIC FUNCTIONS 192 10.3.1
EXERCISES 194 11 SYSTEMS OF FUZZY LINEAR EQUATIONS 195 11.1 EXERCISES
201 12 POSSIBILITY THEORY 203 12.1 INTRODUCTION 203 12.2 DISCRETE
POSSIBILITIES 203 12.2.1 EXERCISES 206 12.3 FUZZY MARKOV CHAINS 208
12.3.1 EXERCISES T 212 13 NEURAL NETS 215 13.1 INTRODUCTION .- 215 13.2
LAYERED, FEEDFORWARD, NEURAL NETS 215 13.2.1 EXERCISES 222 13.3 FUZZY
NEURAL NETS 224 13.3.1 EXERCISES 229 14 APPROXIMATE REASONING 231 14.1
INTRODUCTION 231 14.2 APPROXIMATE REASONING 14.2.1 EXERCISES 237 14.3
MULTIPLE RULES 240 14.3.1 EXERCISES 242 14.4 DISCRETE CASE 244 14.4.1
EXERCISES 248 14.5 OTHER METHODS 249 14.5.1 EXERCISES 252 X CONTENTS 15
GENETIC ALGORITHMS 253 15.1 EXERCISES 259 16 FUZZY OPTIMIZATION 261 16.1
INTRODUCTION 261 16.2 MAXIMUM/MININIMUM OF FUZZY FUNCTIONS 261 16.2.1
EXERCISES 266 16.3 FUZZY PROBLEMS 268 16.3.1 EXERCISES 274 INDEX 277
LIST OF FIGURES 283 LIST OF TABLES 285
|
| any_adam_object | 1 |
| author | Buckley, James J. 1936- Eslami, Esfandiar 1954- |
| author_GND | (DE-588)120637871 (DE-588)123358299 |
| author_facet | Buckley, James J. 1936- Eslami, Esfandiar 1954- |
| author_role | aut aut |
| author_sort | Buckley, James J. 1936- |
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| building | Verbundindex |
| bvnumber | BV014049272 |
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| dewey-full | 006.3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 006 - Special computer methods |
| dewey-raw | 006.3 |
| dewey-search | 006.3 |
| dewey-sort | 16.3 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV014049272 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:58:14Z |
| institution | BVB |
| isbn | 3790814474 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009621494 |
| oclc_num | 174853792 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-473 DE-BY-UBG DE-634 DE-83 |
| owner_facet | DE-703 DE-29T DE-473 DE-BY-UBG DE-634 DE-83 |
| physical | X, 284 S. graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Physica-Verl. |
| record_format | marc |
| series2 | Advances in soft computing |
| spellingShingle | Buckley, James J. 1936- Eslami, Esfandiar 1954- An introduction to fuzzy logic and fuzzy sets with 14 tables Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4341284-1 (DE-588)4123623-3 |
| title | An introduction to fuzzy logic and fuzzy sets with 14 tables |
| title_auth | An introduction to fuzzy logic and fuzzy sets with 14 tables |
| title_exact_search | An introduction to fuzzy logic and fuzzy sets with 14 tables |
| title_full | An introduction to fuzzy logic and fuzzy sets with 14 tables James J. Buckley ; Esfandiar Eslami |
| title_fullStr | An introduction to fuzzy logic and fuzzy sets with 14 tables James J. Buckley ; Esfandiar Eslami |
| title_full_unstemmed | An introduction to fuzzy logic and fuzzy sets with 14 tables James J. Buckley ; Esfandiar Eslami |
| title_short | An introduction to fuzzy logic and fuzzy sets |
| title_sort | an introduction to fuzzy logic and fuzzy sets with 14 tables |
| title_sub | with 14 tables |
| topic | Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy-Logik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009621494&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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