Table of Contents:
  • 1. Fuzzy systems. 1.1. An introduction to fuzzy logic. 1.2. Operations on fuzzy sets. 1.3. Fuzzy relations. 1.4. The extension principle. 1.5. The extension principle for n-place functions. 1.6. Metrics for fuzzy numbers. 1.7. Measures of possibility and necessity. 1.8. Fuzzy implications. 1.9. Linguistic variables. 1.9.1. The linguistic variable Truth. 1.10. The theory of approximate reasoning. 1.11. An introduction to fuzzy logic controllers. 1.12. Defuzzification methods. 1.13. Inference mechanisms. 1.14. Construction of data base and rule base of FLC. 1.15. The ball and beam problem. 1.16. Aggregation in fuzzy system modeling. 1.17. Averaging operators. 1.18. Fuzzy screening systems. 1.19. Applications of fuzzy systems