Fuzzy Set Theory Foundations and Applications
- List Price: $82.00
- Binding: Paperback
- Edition: 1
- Publisher: Prentice Hall
- Publish date: 04/01/1997
- ISBN: 9780133410587
- ISBN10: 0133410587
-- Provides all the necessary background for understanding fuzzy sets, including the basics of information theory, as well as classical logical and set theories.
-- Introduces fuzzy sets, fuzzy relations, fuzzy arithmetic and fuzzy logic.
-- Requires minimal mathematical background. Presents all necessary mathematics, and uses examples from everyday life.
This book is designed to help anyone understand the basics of fuzzy sets, whether or not they have a mathematical background. The book first presents a basic grounding in information theory, classical logic and set theories. Next, it introduces the basics of fuzzy sets, distinguishing them from traditional crisp sets, and introducing the concept of membership function. The distinctions between classical and fuzzy relations are introduced, as are representations of fuzzy relations; fuzzy equivalence relations; fuzzy partial orderings, and related topics. The book introduces fuzzy arithmetic and fuzzy numbers. It also presents a detailed introduction to fuzzy logic, multivalued logics, fuzzy propositions, quantifiers, linguistic hedges and approximate reasoning. Several basic and advanced applications for fuzzy set theory are presented as well.