Fuzzy Set Theory: Foundations and Applications
Edition US ed
Publication Date 1 Jan 1997
OverviewProviding the background for understanding fuzzy set theory, even for non-mathematicians, this manual presents a basic background in information theory, classical logic and set theories. It then introduces the basics of fuzzy sets, and the concept of membership function. The distinctions between classical and fuzzy relations are shown, as are representations of fuzzy relations, fuzzy equivalence relations, fuzzy partial orderings and related topics. The book also introduces fuzzy arithmetic and fuzzy numbers, and a detailed introduction to fuzzy logic, multivalued logics, fuzzy propositions, quantifiers, linguistic hedges and approximate reasoning. Several basic and advanced applications for fuzzyu set theory are also presented.