  # Introduction to Fuzzy Systems

## 1st Edition

Chapman and Hall/CRC

332 pages | 124 B/W Illus.

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Hardback: 9781584885313
pub: 2005-11-16
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### Description

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.

Introduction to Fuzzy Systems is primarily designed to provide training for systems and control majors, both senior undergraduate and first year graduate students, to acquaint them with the fundamental mathematical theory and design methodology required to understand and utilize fuzzy control systems.

### Table of Contents

Each chapters ends with a problem set

Fuzzy Set Theory:

Classical Set Theory

Fuzzy Set Theory

Interval Arithmetic

Operations on Fuzzy Sets:

Fuzzy Logic Theory

Classical Logic Theory

The Boolean Algebra

Multi-Valued Logic

Fuzzy Logic and Approximate Reasoning

Fuzzy Relations

Some Applications of Fuzzy Logic

Product Quality Evaluation

Decision Making for Investment

Performance Evaluation

Miscellaneous Examples

Fuzzy Rule Base and Fuzzy Modeling

Fuzzy Rule Base

Fuzzy Modeling

Fuzzy Control Systems

Classical Programmable Logic Control

Fuzzy Logic Control: A General Model-Free Approach

Fuzzy PID Control Systems

Conventional PID Controllers

Fuzzy PID Controllers (Type 1)

Fuzzy PID Controllers (Type 2)

Fuzzy PID Controllers: Stability Analysis

Computational Verb Fuzzy Controllers

Computational Verbs and Verb Numbers

Verb Rules and Verb Inference

Computational Verb-Based Fuzzy PID Controllers

References

Solutions

Index…

### Subject Categories

##### BISAC Subject Codes/Headings:
COM051240
COMPUTERS / Software Development & Engineering / Systems Analysis & Design
MAT028000
MATHEMATICS / Set Theory
TEC007000
TECHNOLOGY & ENGINEERING / Electrical