First Course on Fuzzy Theory and Applications

✍ Scribed by Dr. Kwang H. Lee (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2005
• Tongue: English
• Leaves: 340
• Series: Advances in Soft Computing 27
• Edition: 1
• Category: Library

✦ Synopsis

This basic textbook gives an easily accessible introduction to Fuzzy theory and its applications. It provides basic and concrete concepts of the field in a self-contained, condensed and understandable style. This "First Course on Fuzzy Theory and Applications" includes numerous examples, descriptive illustrations and figures of the basic concepts, as well as exercises at the end of each chapter. The author has long time experience in teaching on fuzzy theory and its applications and continuously developed and summarized his didactic lecture notes into this book. This book can be used in introductory graduate and undergraduate courses in Fuzziness and Soft Computing and is recommendable to students, scientists, engineers, or professionals in the field for self-study.

✦ Table of Contents

Fuzzy Sets....Pages 1-25
The Operation of Fuzzy Set....Pages 27-52
Fuzzy Relation and Composition....Pages 53-90
Fuzzy Graph and Relation....Pages 91-128
Fuzzy Number....Pages 129-151
Fuzzy Function....Pages 153-170
Probabilisy and Uncertainty....Pages 171-191
Fuzzy Logic....Pages 193-216
Fuzzy Inference....Pages 217-252
Fuzzy Control and Fuzzy Expert Systems....Pages 253-283
Fusion of Fuzzy System and Neural Networks....Pages 285-308
Fusion of Fuzzy Systems and Genetic Algorithms....Pages 309-324

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Artificial Intelligence (incl. Robotics); Vibration, Dynamical Systems, Control; Applications of Mathematics; Probability Theory and Stochastic Processes