Fuzzy sets and systems: theory and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Acad. Press
1980
|
| Schriftenreihe: | Mathematics in science and engineering
144 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 393 S. graph. Darst. |
| ISBN: | 0122227506 |
Internformat
MARC
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| 100 | 1 | |a Dubois, Didier |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fuzzy sets and systems |b theory and applications |c Didier Dubois ; Henri Prade |
| 264 | 1 | |a Boston u.a. |b Acad. Press |c 1980 | |
| 300 | |a XVII, 393 S. |b graph. Darst. | ||
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| 650 | 7 | |a système flou |2 inriac | |
| 650 | 7 | |a théorie catastrophe |2 inriac | |
| 650 | 7 | |a théorie ensemble |2 inriac | |
| 650 | 4 | |a Künstliche Intelligenz | |
| 650 | 4 | |a Fuzzy sets | |
| 650 | 4 | |a Fuzzy systems | |
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Datensatz im Suchindex
| DE-BY-862_location | 2801 |
|---|---|
| DE-BY-FWS_call_number | 2801/1991:2274 |
| DE-BY-FWS_katkey | 132537 |
| DE-BY-FWS_media_number | 083100094252 |
| _version_ | 1806195925994962944 |
| adam_text | Contents
Foreword
xiii
Preface
xv
Acknowledgments
xvii
Part I Introduction
Introduction
1
Appendix: Some Historical and Bibliographical Remarks
4
References
5
Part II Mathematical Tools
Chapter
1
Fuzzy Sets
A. Definitions
9
B. Set-Theoretic Operations
11
С
α
-Cuts
19
D.
Cardinality of a Fuzzy Set
20
E. Inclusions and Equalities of Fuzzy Sets
21
F. Convex Fuzzy Sets and Fuzzy Structured Sets
25
G. L-Fuzzy Sets
27
H. Measures of Fuzziness
32
References
34
Chapter
2
Extension Principle, Extended Operations, and Extended
Fuzzy Sets
A. Extension Principle
36
B. Extended Real Operations
41
С
Extended Fuzzy Sets
62
References
67
vii
Vlil
Contents
Chapter
3
Fuzzy Relations
A.
я
-Ary
Fuzzy Relations
68
B. Binary Fuzzy Relations
72
C. Similarity Relations and Related Topics
77
D. Fuzzy
Orderings
80
E.
Equations of Fuzzy Relations
84
F. Generalized Fuzzy Relations
90
References
93
Chapter
4
Fuzzy Functions
A. Various Kinds of Fuzzy Functions
95
B. Fuzzy
Extrémům
101
С.
Integration of Fuzzy Functions over (Non)Fuzzy Intervals
106
D. Differentiation
116
E. Fuzzy Topology
119
F. Categories of Fuzzy Sets
120
References
122
Chapter
5
Fuzzy Measures, Probabilities/Possibilities
A. Fuzzy Measures and Sugeno s Integrals
125
B. Possibility and Probability
136
C. Fuzzy Events
140
D. Fuzzy Distributions
144
References
146
Part III Fuzzy Models and Formal Structures
Chapter
1
Multivalent and Fuzzy Logics
A. Fuzzy Switching Logic 1
51
B. Multivalent Logics
158
C. Fuzzy Modal Logic
169
D. Fuzzy-Valued Logics
171
E. Approximate Reasoning
173
References
185
Chapter
2
Dynamic Fuzzy Systems
A. Complexity and Fuzziness in System Theory
189
B. Discrete-Time Fuzzy Systems
191
Contents
ЇХ
C.
Fuzzy Automata
199
D.
Deterministic Systems in a Fuzzy Environment
201
E. Linear Fuzzy Systems
203
F. Other Topics Related to Fuzziness and Systems
204
References
207
Chapter
3
Fuzzy Languages
—
Fuzzy Algorithms
A. Fuzzy Languages and Fuzzy Grammars
210
B. Fuzzy Algorithms
226
References
238
Chapter
4
Fuzzy Models for Operations Research
A. Optimization in a Fuzzy Environment
242
B. Fuzzy Graphs
248
References
251
Part IV Systems-Oriented Fuzzy Topics
Chapter
1
Where Do They Come From?
A. Informal Preliminary Discussion
255
B. Practical Estimation of Membership Functions
256
C. Identification of Fuzzy Set Operators
261
D. Tolerance Analysis Using Fuzzy Sets
263
References
263
Chapter
2
From Programming Languages to Natural Languages
A. Fuzzy Programming Languages
. 265
B. Modeling Natural Languages
267
C. Deductive Verbal Dynamic Systems
274
References
· 275
Chapter
3
Fuzzy Sets in Decision-Making
A. Fuzzy Rank-Ordering
277
B. Multicriteria Decision-Making
280
C. Aggregation of Opinions in a Social Group. Consensus
285
D. Decision-Making under Randomness and Fuzziness
289
References
295
x
Contents
Chapter
4
Fuzzy Control
A. Fuzzy Optimal Control
297
B. Synthesis of Linguistic Controllers
301
References
306
Chapter
5
Fuzzy Sets in Learning Systems
A. Learning with Automata or Fuzzy Conditional Measures
308
B. Self-Improvement of Fuzzy Linguistic Controllers
313
References
315
Chapter
6
Pattern Classification with Fuzzy Sets
A. Pattern Recognition
317
B. Clustering Algorithms
323
C. Information Retrieval
330
References
331
Chapter
7
Fuzzy Diagnosis
A. Discrimination of Fuzzy States in a Probabilistic Environment
335
B. Representation of Causality by Fuzzy Relations
337
References
339
Chapter
8
Fuzzy Sets in the Identification of Structures
A. Fuzzy Structural Modeling
341
B. Heuristic Structure Synthesis
343
C. Fuzzy Grammar Inference
345
References
348
Chapter
9
Fuzzy Games
349
References
351
Chapter
10
Fuzzy Sets and Catastrophes
353
References
355
Part V A Survey of Potential Applications
A. Artificial Intelligence and Robotics
358
B. Image Processing and Speech Recognition
358
C. Biological and Medical Sciences
359
Contents xi
359
359
360
360
361
361
361
362
362
371
References in the
Nonfuzzy
Literature
373
List of the Most Commonly Used Symbols
377
Author Index
381
Subject Index
389
D.
Control
E.
Applied Operations Research
F.
Economics and Geography
G.
Sociology
H.
Psychology
I.
Linguistics
J.
Semiotics
K.
Other Topics
References
Conclusion
|
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| discipline | Informatik Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV009005776 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T16:31:03Z |
| institution | BVB |
| isbn | 0122227506 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005952871 |
| oclc_num | 490088811 |
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| publishDate | 1980 |
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| publisher | Acad. Press |
| record_format | marc |
| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spellingShingle | Dubois, Didier Prade, Henri Fuzzy sets and systems theory and applications Mathematics in science and engineering Ensembles flous ram Intelligence artificielle ram Linguistique mathématique ram Systèmes flous ram analyse système inriac ensemble flou inriac modèle flou inriac structure formelle inriac système flou inriac théorie catastrophe inriac théorie ensemble inriac Künstliche Intelligenz Fuzzy sets Fuzzy systems Mengenlehre (DE-588)4074715-3 gnd Systemanalyse (DE-588)4116673-5 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| subject_GND | (DE-588)4074715-3 (DE-588)4116673-5 (DE-588)4395755-9 (DE-588)4061868-7 |
| title | Fuzzy sets and systems theory and applications |
| title_auth | Fuzzy sets and systems theory and applications |
| title_exact_search | Fuzzy sets and systems theory and applications |
| title_full | Fuzzy sets and systems theory and applications Didier Dubois ; Henri Prade |
| title_fullStr | Fuzzy sets and systems theory and applications Didier Dubois ; Henri Prade |
| title_full_unstemmed | Fuzzy sets and systems theory and applications Didier Dubois ; Henri Prade |
| title_short | Fuzzy sets and systems |
| title_sort | fuzzy sets and systems theory and applications |
| title_sub | theory and applications |
| topic | Ensembles flous ram Intelligence artificielle ram Linguistique mathématique ram Systèmes flous ram analyse système inriac ensemble flou inriac modèle flou inriac structure formelle inriac système flou inriac théorie catastrophe inriac théorie ensemble inriac Künstliche Intelligenz Fuzzy sets Fuzzy systems Mengenlehre (DE-588)4074715-3 gnd Systemanalyse (DE-588)4116673-5 gnd Fuzzy-Regelung (DE-588)4395755-9 gnd Fuzzy-Menge (DE-588)4061868-7 gnd |
| topic_facet | Ensembles flous Intelligence artificielle Linguistique mathématique Systèmes flous analyse système ensemble flou modèle flou structure formelle système flou théorie catastrophe théorie ensemble Künstliche Intelligenz Fuzzy sets Fuzzy systems Mengenlehre Systemanalyse Fuzzy-Regelung Fuzzy-Menge |
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| volume_link | (DE-604)BV000001196 |
| work_keys_str_mv | AT duboisdidier fuzzysetsandsystemstheoryandapplications AT pradehenri fuzzysetsandsystemstheoryandapplications |
Inhaltsverzeichnis
Schweinfurt Magazin
| Signatur: |
2801 1991:2274 |
|---|---|
| Exemplar 1 | ausleihbar Verfügbar Bestellen |