Analysis and decision making in uncertain systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2004
|
| Series: | Communications and control engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 363 - 368 |
| Physical Description: | X, 371 S. graph. Darst. : 24 cm |
| ISBN: | 1852337729 |
Staff View
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| 245 | 1 | 0 | |a Analysis and decision making in uncertain systems |c Zdzislaw Bubnicki |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Introduction to Uncertain Systems 1
1.1 Uncertainty and Uncertain Systems 1
1.2 Uncertain Variables 3
1.3 Basic Deterministic Problems 5
1.4 Structure of the Book 7
2 Relational Systems 11
2.1 Relational Knowledge Representation 11
2.2 Analysis and Decision Making for Relational Plants 14
2.3 Relational Plant with External Disturbances 18
2.4 Determinization 22
2.5 Discrete Case 25
3 Application of Random Variables 29
3.1 Random Variables and Probabilistic Forms of Knowledge
Representations 29
3.2 Functional Plants with Random Parameters. Continuous Case 32
3.3 Functional Plants with Random Parameters. Discrete Case 39
3.4 Empirical Interpretations 41
3.5 Relational Plants with Random Parameters 44
3.6 Determinization 48
3.7 Non parametric Uncertainty. Continuous Case 54
3.8 Non parametric Uncertainty. Discrete Case 58
4 Uncertain Logics and Variables 63
4.1 Uncertain Logic 63
4.2 Other Versions of Uncertain Logic 67
4.3 Uncertain Variables 71
4.4 Additional Description of Uncertain Variables 76
4.5 Functions of Uncertain Variables 78
5 Application of Uncertain Variables 85
5.1 Analysis Problem for a Functional Plant 85
5.2 Decision Making Problem for a Functional Plant 86
5.3 External Disturbances 88
5.4 Analysis for Relational Plants with Uncertain Parameters 93
5.5 Decision Making for Relational Plants with Uncertain Parameters 98
viii Analysis and Decision Making in Uncertain Systems
5.6 Computational Aspects 103
5.7 Non parametric Uncertainty 108
5.8 Non parametric Problems for a Plant with External Disturbances 115
6 Fuzzy Variables, Analogies and Soft Variables 123
6.1 Fuzzy Sets and Fuzzy Numbers 123
6.2 Application of Fuzzy Variables in Analysis and Decision Problems 129
6.3 Plant with External Disturbances 134
6.4 Comparison of Uncertain Variables with Random and Fuzzy Variables 140
6.5 Comparisons and Analogies for Non parametric Problems 143
6.6 Introduction to Soft Variables 149
6.7 Application of Soft Variables to Non parametric Problems 151
6.8. Generalized Non parametric Problems 153
7 Systems with Logical Knowledge Representation 155
7.1 Logical Knowledge Representation 155
7.2 Analysis and Decision Making Problems 157
7.3 Logic algebraic Method 159
7.4 Analysis and Decision Making for a Plant with Random Parameters 162
7.5 Analysis and Decision Making for a Plant with Uncertain Parameters 164
7.6 Uncertain and Random Logical Decision Algorithms 165
8 Dynamical Systems 169
8.1 Relational Knowledge Representation 169
8.2 Analysis and Decision Making for Dynamical Plants
with Uncertain Parameters 175
8.3 Analysis and Decision Making for Dynamical Plants
with Random Parameters 182
8.4 Optimization of Random and Uncertain Multistage Decision Process 184
8.5 Applications of Uncertain Variables for a Class
of Knowledge based Assembly Systems 189
8.5.1 Knowledge Representation and Decision Problem 190
8.5.2 Assembly Process with Uncertain Parameters 193
8.6 Non parametric Problems 196
9 Parametric Optimization of Decision Systems 201
9.1 General Idea of Parametric Optimization and Adaptation 201
9.2 Uncertain Controller in a Closed loop System 206
9.3 Random Controller in a Closed loop System 210
9.4 Descriptive and Prescriptive Approaches 212
9.5 Fuzzy Controller in a Closed loop System 216
9.6 Quality of Decisions Based on Non parametric Descriptions 220
10 Stability of Uncertain Dynamical Systems 225
10.1 Introduction 225
Contents ix
10.2 Stability Conditions 227
10.3 Special Cases 230
10.3.1 Additive Uncertainty 230
10.3.2 Multiplicative Uncertainty 235
10.4 Examples 238
10.5 An Approach Based on Random Variables 243
10.6 An Approach Based on Uncertain Variables 251
10.7 Stabilization 254
11 Learning Systems 259
11.1 Learning System Based on Knowledge of the Plant 259
11.1.1 Knowledge Validation and Updating 260
11.1.2 Learning Algorithm for Decision Making in a Closed loop System 262
11.2 Learning System Based on Knowledge of Decisions 263
11.2.1 Knowledge Validation and Updating 264
11.2.2 Learning Algorithm for Decision Making in a Closed loop System 266
11.3 Learning Algorithms for a Class of Dynamical Systems 269
11.3.1 Knowledge Validation and Updating 270
11.3.2 Learning Control System 273
11.3.3 Example 274
11.4 Learning Algorithms for a Class of Knowledge based
Assembly Systems 278
11.4.1 Knowledge Validation and Updating 278
11.4.2 Learning Algorithm for Decision Making in a Closed loop System 281
12 Complex Problems and Systems 283
12.1 Decision Problems for Plants with Uncertain and Random Parameters 283
12.2 Other Formulations. Three level Uncertainty 289
12.3 Complex Systems with Distributed Knowledge 292
12.3.1 Complex Relational System 292
12.3.2 Complex System with Uncertain and Random Parameters 295
12.4 Knowledge Validation and Updating 297
12.4.1 Validation and Updating of the Knowledge
Concerning the System 298
12.4.2 Validation and Updating of the Knowledge
Concerning the Decision Making 299
12.5 Learning System 302
13 Complex of Operations 313
13.1 Complex of Parallel Operations with Relational Knowledge
Representation 313
13.2 Application of Uncertain Variables 316
13.3 Special Cases and Examples 320
13.4 Decomposition and Two level Control 325
13.5 Application of Random Variables 328
x Analysis and Decision Making in Uncertain Systems
13.6 Application to Task Allocation in a Multiprocessor System 331
13.7 Learning Algorithms 335
14 Pattern Recognition 339
14.1 Pattern Recognition Based on Relational Knowledge Representation 339
14.2 Application of the Logic algebraic Method 341
14.3 Application of Uncertain Variables 344
14.4 Application of Random Variables 350
14.5 Non parametric Problems 353
14.6 Learning Algorithms 355
Conclusions 361
References 363
Index 369
j
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| spelling | Bubnicki, Zdzislaw Verfasser aut Analysis and decision making in uncertain systems Zdzislaw Bubnicki London [u.a.] Springer 2004 X, 371 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Literaturverz. S. 363 - 368 Decision support systems Logic, Symbolic and mathematical System analysis Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Entscheidungsunterstützungssystem (DE-588)4191815-0 gnd rswk-swf Unsicheres Schließen (DE-588)4361044-4 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 s Entscheidungsunterstützungssystem (DE-588)4191815-0 s Unsicheres Schließen (DE-588)4361044-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012955045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bubnicki, Zdzislaw Analysis and decision making in uncertain systems Decision support systems Logic, Symbolic and mathematical System analysis Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Entscheidungsunterstützungssystem (DE-588)4191815-0 gnd Unsicheres Schließen (DE-588)4361044-4 gnd |
| subject_GND | (DE-588)4070864-0 (DE-588)4191815-0 (DE-588)4361044-4 |
| title | Analysis and decision making in uncertain systems |
| title_auth | Analysis and decision making in uncertain systems |
| title_exact_search | Analysis and decision making in uncertain systems |
| title_full | Analysis and decision making in uncertain systems Zdzislaw Bubnicki |
| title_fullStr | Analysis and decision making in uncertain systems Zdzislaw Bubnicki |
| title_full_unstemmed | Analysis and decision making in uncertain systems Zdzislaw Bubnicki |
| title_short | Analysis and decision making in uncertain systems |
| title_sort | analysis and decision making in uncertain systems |
| topic | Decision support systems Logic, Symbolic and mathematical System analysis Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Entscheidungsunterstützungssystem (DE-588)4191815-0 gnd Unsicheres Schließen (DE-588)4361044-4 gnd |
| topic_facet | Decision support systems Logic, Symbolic and mathematical System analysis Entscheidung bei Unsicherheit Entscheidungsunterstützungssystem Unsicheres Schließen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012955045&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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