| Introduction to Uncertain Systems | p. 1 |
| Uncertainty and Uncertain Systems | p. 1 |
| Uncertain Variables | p. 3 |
| Basic Deterministic Problems | p. 5 |
| Structure of the Book | p. 7 |
| Relational Systems | p. 11 |
| Relational Knowledge Representation | p. 11 |
| Analysis and Decision Making for Relational Plants | p. 14 |
| Relational Plant with External Disturbances | p. 18 |
| Determinization | p. 22 |
| Discrete Case | p. 25 |
| Application of Random Variables | p. 29 |
| Random Variables and Probabilistic Forms of Knowledge Representations | p. 29 |
| Functional Plants with Random Parameters. Continuous Case | p. 32 |
| Functional Plants with Random Parameters. Discrete Case | p. 39 |
| Empirical Interpretations | p. 41 |
| Relational Plants with Random Parameters | p. 44 |
| Determinization | p. 48 |
| Non-parametric Uncertainty. Continuous Case | p. 54 |
| Non-parametric Uncertainty. Discrete Case | p. 58 |
| Uncertain Logics and Variables | p. 63 |
| Uncertain Logic | p. 63 |
| Other Versions of Uncertain Logic | p. 67 |
| Uncertain Variables | p. 71 |
| Additional Description of Uncertain Variables | p. 76 |
| Functions of Uncertain Variables | p. 78 |
| Application of Uncertain Variables | p. 85 |
| Analysis Problem for a Functional Plant | p. 85 |
| Decision Making Problem for a Functional Plant | p. 86 |
| External Disturbances | p. 88 |
| Analysis for Relational Plants with Uncertain Parameters | p. 93 |
| Decision Making for Relational Plants with Uncertain Parameters | p. 98 |
| Computational Aspects | p. 103 |
| Non-parametric Uncertainty | p. 108 |
| Non-parametric Problems for a Plant with External Disturbances | p. 115 |
| Fuzzy Variables, Analogies and Soft Variables | p. 123 |
| Fuzzy Sets and Fuzzy Numbers | p. 123 |
| Application of Fuzzy Variables in Analysis and Decision Problems | p. 129 |
| Plant with External Disturbances | p. 134 |
| Comparison of Uncertain Variables with Random and Fuzzy Variables | p. 140 |
| Comparisons and Analogies for Non-parametric Problems | p. 143 |
| Introduction to Soft Variables | p. 149 |
| Application of Soft Variables to Non-parametric Problems | p. 151 |
| Generalized Non-parametric Problems | p. 153 |
| Systems with Logical Knowledge Representation | p. 155 |
| Logical Knowledge Representation | p. 155 |
| Analysis and Decision Making Problems | p. 157 |
| Logic-algebraic Method | p. 159 |
| Analysis and Decision Making for a Plant with Random Parameters | p. 162 |
| Analysis and Decision Making for a Plant with Uncertain Parameters | p. 164 |
| Uncertain and Random Logical Decision Algorithms | p. 165 |
| Dynamical Systems | p. 169 |
| Relational Knowledge Representation | p. 169 |
| Analysis and Decision Making for Dynamical Plants with Uncertain Parameters | p. 175 |
| Analysis and Decision Making for Dynamical Plants with Random Parameters | p. 182 |
| Optimization of Random and Uncertain Multistage Decision Process | p. 184 |
| Applications of Uncertain Variables for a Class of Knowledge-based Assembly Systems | p. 189 |
| Knowledge Representation and Decision Problem | p. 190 |
| Assembly Process with Uncertain Parameters | p. 193 |
| Non-parametric Problems | p. 196 |
| Parametric Optimization of Decision Systems | p. 201 |
| General Idea of Parametric Optimization and Adaptation | p. 201 |
| Uncertain Controller in a Closed-loop System | p. 206 |
| Random Controller in a Closed-loop System | p. 210 |
| Descriptive and Prescriptive Approaches | p. 212 |
| Fuzzy Controller in a Closed-loop System | p. 216 |
| Quality of Decisions Based on Non-parametric Descriptions | p. 220 |
| Stability of Uncertain Dynamical Systems | p. 225 |
| Introduction | p. 225 |
| Stability Conditions | p. 227 |
| Special Cases | p. 230 |
| Additive Uncertainty | p. 230 |
| Multiplicative Uncertainty | p. 235 |
| Examples | p. 238 |
| An Approach Based on Random Variables | p. 243 |
| An Approach Based on Uncertain Variables | p. 251 |
| Stabilization | p. 254 |
| Learning Systems | p. 259 |
| Learning System Based on Knowledge of the Plant | p. 259 |
| Knowledge Validation and Updating | p. 260 |
| Learning Algorithm for Decision Making in a Closed-loop System | p. 262 |
| Learning System Based on Knowledge of Decisions | p. 263 |
| Knowledge Validation and Updating | p. 264 |
| Learning Algorithm for Decision Making in a Closed-loop System | p. 266 |
| Learning Algorithms for a Class of Dynamical Systems | p. 269 |
| Knowledge Validation and Updating | p. 270 |
| Learning Control System | p. 273 |
| Example | p. 274 |
| Learning Algorithms for a Class of Knowledge-based Assembly Systems | p. 278 |
| Knowledge Validation and Updating | p. 278 |
| Learning Algorithm for Decision Making in a Closed-loop System | p. 281 |
| Complex Problems and Systems | p. 283 |
| Decision Problems for Plants with Uncertain and Random Parameters | p. 283 |
| Other Formulations. Three-level Uncertainty | p. 289 |
| Complex Systems with Distributed Knowledge | p. 292 |
| Complex Relational System | p. 292 |
| Complex System with Uncertain and Random Parameters | p. 295 |
| Knowledge Validation and Updating | p. 297 |
| Validation and Updating of the Knowledge Concerning the System | p. 298 |
| Validation and Updating of the Knowledge Concerning the Decision Making | p. 299 |
| Learning System | p. 302 |
| Complex of Operations | p. 313 |
| Complex of Parallel Operations with Relational Knowledge Representation | p. 313 |
| Application of Uncertain Variables | p. 316 |
| Special Cases and Examples | p. 320 |
| Decomposition and Two-level Control | p. 325 |
| Application of Random Variables | p. 328 |
| Application to Task Allocation in a Multiprocessor System | p. 331 |
| Learning Algorithms | p. 335 |
| Pattern Recognition | p. 339 |
| Pattern Recognition Based on Relational Knowledge Representation | p. 339 |
| Application of the Logic-algebraic Method | p. 341 |
| Application of Uncertain Variables | p. 344 |
| Application of Random Variables | p. 350 |
| Non-parametric Problems | p. 353 |
| Learning Algorithms | p. 355 |
| Conclusions | p. 361 |
| References | p. 363 |
| Index | p. 369 |
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