Table of Contents

Survey of the fundamental notions: Sets and basic operations. Relations and structures. First-order logic. Formal languages. Fuzzy set theory: Reasoning on the notion of a fuzzy set. The notion of a fuzzy set. Operations on fuzzy sets. Fuzzy structures. Fuzzy numbers. The model of natural language semantics and linguistic variables: The model of natural language semantics. Linguistic variables. The linguistic approximation. Fuzzy logic: Many-valued first-order fuzzy logic. Linguistic logic. Approximate reasoning. Decision and control: Decision. Control. Presentation of information. Fuzzy systems: Dynamic fuzzy systems. General fuzzy models, examples and methodology. Evaluation of system behaviour. Preference of system parameters. Fuzzy automata. Fuzzy alogorithms and programing languages: Fuzzy algorithms. Linguistically oriented programming languages. Other applications: Linear programming. Cluster analysis and pattern recognition. Situation analysis in power system working. Database systems. Psychology. Applications in other fields. General problems of fuzzy set theory: Determination of the membership function. Theoretical problems with the foundations of fuzzy set theory. Historical remarks. References. Index.