Introduction to Fuzzy Systems

Contents: Preface. Table of contents. I. Fuzzy set theory: 1. Classical set theory. 2. Fuzzy set theory. 3. Interval arithmetic. 4. Operations on fuzzy sets. II. Fuzzy logic theory: 1. Classical logic theory. 2. The Boolean Algebra. 3. Multi-valued logic. 4. Fuzzy logic and approximate reasoning. 5. Fuzzy relations. III. Some applications of Fuzzy logic: 1. Product quality evaluation. 2. Decision making for investment. 3. Performance evaluation. 4. Miscellaneous examples. IV. Fuzzy rule base and fuzzy modeling: 1. Fuzzy rule base. 2. Fuzzy modeling. V. Fuzzy control systems: 1. Classical programmable logic control. 2. Fuzzy logic control: a general model-free approach. VI. Fuzzy PID Control Systems: 1. Conventional PID controllers. 2. Fuzzy PID Controllers (Type I). 3. Fuzzy PID Controllers (Type II). 4. Fuzzy PID controllers: stability analysis. VII. Computational verb fuzzy controllers: 1. Computational verbs and verb numbers. 2. Verb rules and verb inference. 3. Computational verb-based fuzzy PID controllers. References. Solutions. Index.

"Introduction to Fuzzy Systems provides students with a self-contained introduction that requires no preliminary knowledge of fuzzy mathematics and fuzzy control systems theory. Simplified and readily accessible, it encourages both classroom and self-directed learners to build a solid foundation in fuzzy systems.

After introducing the subject, the authors move directly into presenting real-world applications of fuzzy logic, revealing its practical flavor. This practicality is then followed by basic fuzzy systems theory. The book also offers a tutorial on fuzzy control theory, based mainly on the well-known classical Proportional-Integral-Derivative (PID) controllers theory and design methods. In particular, the text discusses fuzzy PID controllers in detail, including a description of the new notion of generalized verb-based fuzzy-logic control theory.

In providing students with an understanding of this practical realm of applicable mathematical theory, introduction to Fuzzy Systems --

• Reviews the fundamentals of basic classical set theory and classical control systems theory as they are encountered within the text.
• Provides clear explanations of fuzzy sets, fuzzy inference, approximate reasoning, fuzzy rule base and other necessary basics.
• Invites advanced study with the inclusion of related references.
• Offers complete solution sets for the myriad of practical problems found throughout the chapters."