Fuzzy Theory Basis

Author: Hu Baoqing
Publisher:
Publish Date: 2004-10-01
Features: This book systematically introduces the fundamental principles and basic methods of fuzzy set theory and its applications. The book is divided into fourteen chapters, covering three fundamental concepts of fuzzy set theory—fuzzy sets, fuzzy relations, and fuzzy membership functions; three fundamental principles of fuzzy set theory—decomposition theorem, representation theorem, and extension principle; three basic applications of fuzzy set theory—fuzzy clustering analysis, fuzzy pattern recognition, and fuzzy comprehensive evaluation; and three popular topics in fuzzy set theory—fuzzy decision theory, fuzzy logic systems, and fuzzy measure theory. Important concepts in the book are accompanied by English translations for easy retrieval of relevant English literature. Each chapter includes a summary to facilitate tracking of new research findings. At the end of the book, there is a symbol glossary and name index for the convenience of readers. This book can serve as a reference for engineering technicians and educators engaged in the research of fuzzy set theory and its applications, as well as a textbook or teaching reference for senior undergraduate and graduate students in colleges and universities.