A first course in fuzzy logic:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Boca Raton [u.a.]
Chapman & Hall
2006
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| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 430 S. |
| ISBN: | 1584885262 9781584885269 |
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Record in the Search Index
| _version_ | 1804138755549822976 |
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| adam_text | A FIRST COURSE IN FUZZY LOGIC THIRD EDITION HUNG T. NGUYEN ELBERT A.
WALKER DEPARTMENT OF MATHEMATICAL SCIENCES NEW MEXICO STATE UNIVERSITY
LAS CRUCES, NEW MEXICO CHAPMAN & HALL/CRC TAYLOR & FRANCIS GROUP BOCA
RATON LONDON NEW YORK CONTENTS THE CONCEPT OF FUZZINESS 1 1.1 EXAMPLES 1
1.2 MATHEMATICAL MODELING 2 1.3 SOME OPERATIONS ON FUZZY SETS 6 1.4
FUZZINESS AS UNCERTAINTY 11 1.5 EXERCISES 14 SOME ALGEBRA OF FUZZY SETS
17 2.1 BOOLEAN ALGEBRAS AND LATTICES 17 2.2 EQUIVALENCE RELATIONS AND
PARTITIONS 23 2.3 COMPOSING MAPPINGS 27 2.4 ISOMORPHISMS AND
HOMOMORPHISMS 29 2.5 ALPHA-CUTS 32 2.6 IMAGES OF ALPHA-LEVEL SETS 34 2.7
EXERCISES 36 FUZZY QUANTITIES 45 3.1 FUZZY QUANTITIES 45 3.2 FUZZY
NUMBERS 52 3.3 FUZZY INTERVALS 55 3.4 EXERCISES 56 LOGICAL ASPECTS OF
FUZZY SETS 59 4.1 CLASSICAL TWO-VALUED LOGIC 60 4.2 A THREE-VALUED LOGIC
* 64 4.3 FUZZY LOGIC 65 4.4 FUZZY AND LUKASIEWICZ LOGICS 66 4.5
INTERVAL-VALUED FUZZY LOGIC 68 4.6 CANONICAL FORMS 70 4.7 NOTES ON
PROBABILISTIC LOGIC 74 4.8 EXERCISES 76 VN VIII CONTENTS 5 BASIC
CONNECTIVES 81 5.1 T-NORMS 81 5.2 GENERATORS OF T-NORMS 85 5.3
ISOMORPHISMS OF T-NORMS 93 5.4 NEGATIONS 98 5.5 NILPOTENT T-NORMS AND
NEGATIONS 102 5.6 T-CONORMS 106 5.7 DE MORGAN SYSTEMS 109 5.7.1 STRICT
DE MORGAN SYSTEMS 109 5.7.2 NILPOTENT DE MORGAN SYSTEMS 113 5.7.3
NONUNIQUENESS OF NEGATIONS IN STRICT DE MORGAN SYSTEMS 116 5.8 GROUPS
AND T-NORMS 118 5.8.1 THE NORMALIZER OF M + 119 5.8.2 FAMILIES OF STRICT
T-NORMS 122 5.8.3 FAMILIES OF NILPOTENT T-NORMS 126 5.9 INTERVAL-VALUED
FUZZY SETS 127 5.9.1 T-NORMS ON INTERVAL-VALUED FUZZY SETS 128 5.9.2
NEGATIONS AND T-CONORMS 130 5.10 TYPE-2 FUZZY SETS 134 5.10.1 POINTWISE
OPERATIONS AND CONVOLUTIONS 134 5.10.2 TYPE-2 FUZZY SETS 135 5.10.3 THE
ALGEBRA (MAP(J,J), U,N,* ,0,1) 136 5.10.4 TWO ORDER RELATIONS 143 5.10.5
SUBALGEBRAS OF TYPE-2 FUZZY SETS 145 5.10.6 CONVOLUTIONS USING PRODUCT
153 5.10.7 T-NORMS FOR TYPE-2 FUZZY SETS 157 5.10.8 COMMENTS 163 5.11
EXERCISES 163 6 ADDITIONAL TOPICS ON CONNECTIVES 171 6.1 FUZZY
IMPLICATIONS 171 6.2 AVERAGING OPERATORS 177 6.2.1 AVERAGING OPERATORS
AND NEGATIONS 180 6.2.2 AVERAGING OPERATORS AND NILPOTENT T-NORMS . . .
. 184 6.2.3 DE MORGAN SYSTEMS WITH AVERAGING OPERATORS . . . 187 6.3
POWERS OF T-NORMS 190 6.4 SENSITIVITY OF CONNECTIVES 194 6.5 COPULAS AND
T-NORMS 197 6.6 EXERCISES 200 CONTENTS IX 7 FUZZY RELATIONS 207 7.1
DEFINITIONS AND EXAMPLES 207 7.2 BINARY FUZZY RELATIONS 208 7.3
OPERATIONS ON FUZZY RELATIONS 212 7.4 FUZZY PARTITIONS 214 7.5 FUZZY
RELATIONS AS CHU SPACES 215 7.6 APPROXIMATE REASONING 217 7.7
APPROXIMATE REASONING IN EXPERT SYSTEMS 220 7.7.1 FUZZY SYLLOGISMS 226
7.7.2 TRUTH QUALIFICATION 226 7.7.3 PROBABILITY QUALIFICATION 226 7.7.4
POSSIBILITY QUALIFICATION 227 7.8 A SIMPLE FORM OF GENERALIZED MODUS
PONENS 227 7.9 THE COMPOSITIONAL RULE OF INFERENCE 229 7.10 EXERCISES
230 8 UNIVERSAL APPROXIMATION 235 8.1 FUZZY RULE BASES 235 8.2 DESIGN
METHODOLOGIES 238 8.3 SOME MATHEMATICAL BACKGROUND 240 8.4 APPROXIMATION
CAPABILITY 242 8.5 EXERCISES 247 9 POSSIBILITY THEORY 251 9.1
PROBABILITY AND UNCERTAINTY 251 9.2 RANDOM SETS 254 9.3 POSSIBILITY
MEASURES 256 9.3.1 MEASURES OF NONCOMPACTNESS 261 9.3.2 FRACTAL
DIMENSIONS 262 9.3.3 INFORMATION MEASURES 263 9.4 EXERCISES 267 10
PARTIAL KNOWLEDGE 271 10.1 MOTIVATION 271 10.2 BELIEF FUNCTIONS AND
INCIDENCE ALGEBRAS 274 10.3 MONOTONICITY 278 10.4 BELIEFS, DENSITIES,
AND ALLOCATIONS* 282 10.5 BELIEF FUNCTIONS ON INFINITE SETS 287 10.5.1
INNER MEASURES AND BELIEF FUNCTIONS 288 10.5.2 POSSIBILITY MEASURES AND
BELIEF FUNCTIONS 289 10.6 NOTE ON MOBIUS TRANSFORMS OF SET-FUNCTIONS 292
10.7 REASONING WITH BELIEF FUNCTIONS 293 X CONTENTS 10.8 DECISION MAKING
USING BELIEF FUNCTIONS 295 10.8.1 A MINIMAX VIEWPOINT 296 10.8.2 AN
EXPECTED-VALUE APPROACH 297 10.8.3 MAXIMUM ENTROPY PRINCIPLE 298 10.9
ROUGH SETS 302 10.9.1 AN EXAMPLE 305 10.9.2 THE STRUCTURE OF U 307 10.10
CONDITIONAL EVENTS 309 10.11 EXERCISES 311 11 FUZZY MEASURES 319 11.1
MOTIVATION AND DEFINITIONS 319 11.2 FUZZY MEASURES AND LOWER
PROBABILITIES 321 11.3 FUZZY MEASURES IN OTHER AREAS 326 11.3.1
CAPACITIES 326 11.3.2 MEASURES AND DIMENSIONS 328 11.3.3 GAME THEORY 330
11.4 CONDITIONAL FUZZY MEASURES 331 11.5 EXERCISES 336 12 THE CHOQUET
INTEGRAL 341 12.1 THE LEBESGUE INTEGRAL 341 12.2 THE SUGENO INTEGRAL 343
12.3 THE CHOQUET INTEGRAL 348 12.3.1 MOTIVATION 348 12.3.2 FOUNDATIONS
352 12.3.3 RADON-NIKODYM DERIVATIVES 359 12.3.4 MULTICRITERIA DECISIONS
WITH CHOQUET INTEGRALS . . . 363 12.4 EXERCISES 365 13 FUZZY MODELING
AND CONTROL 371 13.1 MOTIVATION FOR FUZZY CONTROL 371 13.2 THE
METHODOLOGY OF FUZZY CONTROL 374 13.3 OPTIMAL FUZZY CONTROL 381 13.4 AN
ANALYSIS OF FUZZY CONTROL TECHNIQUES 382 13.5 EXERCISES 385 BIBLIOGRAPHY
387 ANSWERS TO SELECTED EXERCISES 401 INDEX 425
|
| any_adam_object | 1 |
| author | Nguyen, Hung T. 1944- Walker, Elbert A. |
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| author_facet | Nguyen, Hung T. 1944- Walker, Elbert A. |
| author_role | aut aut |
| author_sort | Nguyen, Hung T. 1944- |
| author_variant | h t n ht htn e a w ea eaw |
| building | Verbundindex |
| bvnumber | BV023646283 |
| classification_rvk | ST 301 |
| ctrlnum | (OCoLC)255284540 (DE-599)BVBBV023646283 |
| dewey-full | 511.313 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.313 |
| dewey-search | 511.313 |
| dewey-sort | 3511.313 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 3. ed. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:33:14Z |
| institution | BVB |
| isbn | 1584885262 9781584885269 |
| language | Undetermined |
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| physical | X, 430 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Chapman & Hall |
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| spelling | Nguyen, Hung T. 1944- Verfasser (DE-588)138402590 aut A first course in fuzzy logic Hung T. Nguyen ; Elbert A. Walker 3. ed. Boca Raton [u.a.] Chapman & Hall 2006 X, 430 S. txt rdacontent n rdamedia nc rdacarrier Fuzzy-Logik (DE-588)4341284-1 gnd rswk-swf Fuzzy-Logik (DE-588)4341284-1 s 1\p DE-604 Walker, Elbert A. Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017242629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nguyen, Hung T. 1944- Walker, Elbert A. A first course in fuzzy logic Fuzzy-Logik (DE-588)4341284-1 gnd |
| subject_GND | (DE-588)4341284-1 |
| title | A first course in fuzzy logic |
| title_auth | A first course in fuzzy logic |
| title_exact_search | A first course in fuzzy logic |
| title_full | A first course in fuzzy logic Hung T. Nguyen ; Elbert A. Walker |
| title_fullStr | A first course in fuzzy logic Hung T. Nguyen ; Elbert A. Walker |
| title_full_unstemmed | A first course in fuzzy logic Hung T. Nguyen ; Elbert A. Walker |
| title_short | A first course in fuzzy logic |
| title_sort | a first course in fuzzy logic |
| topic | Fuzzy-Logik (DE-588)4341284-1 gnd |
| topic_facet | Fuzzy-Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017242629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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