Introduction: The Real Contribution of Fuzzy Systems. - References. - Methodology of Fuzzy Control. - 1. 1 Introduction: Why Fuzzy Control. - 1. 2 How to Translate Fuzzy Rules into the Actual Control: General Idea. - 1. 3 Membership Functions and Where They Come From. - 1. 4 Fuzzy Logical Operations. - 1. 5 Modeling Fuzzy Rule Bases. - 1. 6 Inference From Several Fuzzy Rules. - 1. 7 Defuzzification. - 1. 8 The Basic Steps of Fuzzy Control: Summary. - 1. 9 Tuning. - 1. 10 Methodologies of Fuzzy Control: Which Is The Best?. - References. - to Fuzzy Modeling. - 2. 1 Introduction. - 2. 2 Takagi-Sugeno Fuzzy Model. - 2. 3 Sugeno-Kang Method. - 2. 4 Sofia. - 2. 5 Conclusion. - References. - Fuzzy Rule-Based Models and Approximate Reasoning. - 3. 1 Introduction. - 3. 2 Linguistic Models. - 3. 3 Inference with Fuzzy Models. - 3. 4 Mamdani (Constructive) and Logical (Destructive) Models. - 3. 5 Linguistic Models With Crisp Outputs. - 3. 6 Multiple Variable Linguistic Models. - 3. 7 Takagi-Sugeno-Kang (TSK) Models. - 3. 8 A General View of Fuzzy Systems Modeling. - 3. 9 MICA Operators. - 3. 10 Aggregation in Fuzzy Systems Modeling. - 3. 11 Dynamic Fuzzy Systems Models. - 3. 12 TSK Models of Dynamic Systems. - 3. 13 Conclusion. - References. - Fuzzy Rule Based Modeling as a Universal Approximation Tool. - 4. 1 Introduction. - 4. 2 Main Universal Approximation Results. - 4. 3 Can We Guarantee That the Approximation Function has the Desired Properties (Such as Smoothness Simplicity Stability of the Resulting Control etc. )?. - 4. 4 Auxiliary Approximation Results. - 4. 5 How to Make the Approximation Results More Realistic. - 4. 6 From All Fuzzy Rule Based Modeling Methodologies That are Universal Appriximation Tools Which Methodology Should We Choose?. - 4. 7 A Natural Next Question: When Should We Choose Fuzzy Rule Based Modeling in the First Place? andWhen is Say Neural Modeling Better?. - References. - Fuzzy and Linear Controllers. - 5. 1 Introduction. - 5. 2 Modal Equivalence Principle. - 5. 3 Application to PI Controllers. - 5. 4 Application to State Feedback Fuzzy Controllers. - 5. 5 Equivalence for Sugeno's Controllers. - 5. 6 Conclusion. - References. - Designs of Fuzzy Controllers. - 6. 1 Introduction. - 6. 2 Fuzzy Control Techniques. - 6. 3 The FC as a Nonlinear Transfer Element. - 6. 4 Heuristic Control and Model Based Control. - 6. 5 Supervisory Control. - 6. 6 Adaptive Control. - References. - Stability of Fuzzy Controllers. - 7. 1 Introduction. - 7. 2 Stability Conditions Based on Lyapunov Approach. - 7. 3 Fuzzy Controller Design. - References. - Learning and Tuning of Fuzzy Rules. - 8. 1 Introduction. - 8. 2 Learning Fuzzy Rules. - 8. 3 Tuning Fuzzy Rules. - 8. 4 Learning and Tuning Fuzzy Rules. - 8. 5 Summary and Conclusion. - References. - Neurofuzzy Systems. - 9. 1 Introduction. - 9. 2 Synergy of Neural Networks and Fuzzy Logic. - 9. 3 Fuzzy sets in the technology of neurocomputing. - 9. 4 Hybrid Fuzzy Neural Computing Structures. - 9. 5 Fuzzy Neurocomputing a Fusion of Fuzzy and Neural Technology. - 9. 6 Constructing Hybrid Neurofuzzy Systems. - 9. 7 Summary. - References. - Neural Networks and Fuzzy Logic. - 10. 1 Introduction. - 10. 2 Liquid Level Control Problem. - 10. 3 Fuzzy Rule Development. - 10. 4 Integrated System Architectures. - 10. 5 FNN3 Training Algorithm. - 10. 6 Conclusions. - References. - Fuzzy Genetic Algorithms. - 11. 1 Introduction. - 11. 2 What is a Genetic Algorithm?. - 11. 3 Fuzzy Genetic Algorithms. - 11. 4 Fuzzy Genetic Programming. - References. - Fuzzy Systems Viability Theory and Toll Sets. - 12. 1 Introduction. - 12. 2 Convexification Procedures. - 12. 3 Toll Sets. - 12. 4 Fuzzy or Toll Differential Inclusions. - References. - Chaos and Fuzzy Systems. - 13. 1Introduction. - 13. 2 Preliminaries. - 13. 3 Dynamical Systems and Chaos. - 13. 4 Information Content of Fuzzy Sets. - 13. 5 Chaotic Mappings on (Dn d?). - 13. 6 r-Fuzzification. - 13. 7 Chaos and Fuzzification. - 13. 8 Nondegenerate Periodicities and Chaos. - 13. 9 Examples of Fuzzy Chaos. - 13. 10 Conclusion. - 13. 11 Appendix. - References. Language: English