| Introduction | p. 1 |
| Essence of fuzzy set theory | p. 1 |
| Development of fuzzy set theory | p. 6 |
| Basic Notions of Fuzzy Set Theory | p. 11 |
| Fuzzy sets | p. 11 |
| Characteristic parameters (indices) of a fuzzy set | p. 22 |
| Linguistic modifiers of fuzzy sets | p. 27 |
| Types of membership functions of fuzzy sets | p. 34 |
| Type 2 fuzzy sets | p. 52 |
| Fuzziness and probability: two kinds of uncertainty | p. 56 |
| Arithmetic of Fuzzy Sets | p. 59 |
| The extension principle | p. 60 |
| Addition of fuzzy numbers | p. 67 |
| Subtraction of fuzzy numbers | p. 75 |
| Multiplication of fuzzy numbers | p. 79 |
| Division of fuzzy numbers | p. 95 |
| Peculiarities of fuzzy numbers | p. 100 |
| Differences between fuzzy numbers and linguistic values | p. 107 |
| Mathematics of Fuzzy Sets | p. 111 |
| Basic operations on fuzzy sets | p. 111 |
| Intersection operation (logical product) of fuzzy sets | p. 112 |
| Union (logical sum) of fuzzy sets | p. 126 |
| Compensatory operators | p. 132 |
| Fuzzy relations | p. 136 |
| Implication | p. 149 |
| Fuzzy Models | p. 157 |
| Structure, main elements and operations in fuzzy models | p. 157 |
| Fuzzification | p. 159 |
| Inference | p. 160 |
| Defuzzification of the resulting membership function of the rule-base conclusion | p. 184 |
| Example of fuzzy modeling | p. 199 |
| Significant features of rules, rule bases and fuzzy models | p. 202 |
| Local character of rules | p. 202 |
| Dependence of the number of rules on the number of inputs and fuzzy sets | p. 204 |
| Completeness of a fuzzy model | p. 208 |
| Consistency of the rule base | p. 216 |
| Continuity of the rule base | p. 219 |
| Redundancy of the rule base | p. 222 |
| Advice relating to rule base construction | p. 224 |
| Reduction of the rule base | p. 229 |
| Normalization (scaling) of the fuzzy model inputs and output | p. 244 |
| Extrapolation in fuzzy models | p. 250 |
| Types of fuzzy models | p. 280 |
| Mamdani models | p. 281 |
| Takagi-Sugeno models | p. 301 |
| Relational models | p. 311 |
| Global and local fuzzy models | p. 316 |
| Fuzzy multimodels | p. 323 |
| Neuro-fuzzy models | p. 329 |
| Alternative models | p. 331 |
| Similarity principles of the system and of the system model | p. 338 |
| Fuzzy classification | p. 339 |
| Methods of Fuzzy Modeling | p. 363 |
| Fuzzy modeling based on the system expert's knowledge | p. 366 |
| Creation of fuzzy, self-tuning models based on input/output measurement data of the system | p. 373 |
| Application of neuro-fuzzy networks for fuzzy model parameter tuning | p. 374 |
| Tuning of fuzzy model parameters with the genetic algorithm method | p. 400 |
| Creation of self-organizing and self-tuning fuzzy models based on input/output measurement data of the system | p. 405 |
| Determination of significant and insignificant inputs of the model | p. 406 |
| Determining of fuzzy curves | p. 410 |
| Self-organization and self-tuning tuning of fuzzy model parameters | p. 417 |
| Fuzzy Control | p. 495 |
| Static fuzzy controllers | p. 495 |
| Dynamic fuzzy controllers | p. 500 |
| The determination of structures and parameters for fuzzy controllers (organization and tuning) | p. 511 |
| The design of fuzzy controllers on the basis of expert knowledge concerning plant under control | p. 512 |
| The design of a fuzzy controller on the basis of a model of the expert controlling the plant | p. 516 |
| The design of a fuzzy controller on the basis of the model of controlled plant | p. 522 |
| The Stability of Fuzzy Control Systems | p. 609 |
| The stability of fuzzy control systems with unknown models of plants | p. 614 |
| The circle stability criterion | p. 618 |
| The application of hyperstability theory to analysis of fuzzy-system stability | p. 625 |
| The frequency domain representation of hyperstability conditions for control systems with a time invariant non-linear part | p. 627 |
| The time domain conditions for hyperstability of continuous, non-linear control systems containing a time-invariant non-linear part | p. 655 |
| The frequency domain conditions for hyperstability of discrete, non-linear control systems containing a time-invariant non-linear part | p. 657 |
| References | p. 705 |
| Index | p. 725 |
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