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Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

Fuzzy sets --- 681.3*G --- Sets, Fuzzy --- Fuzzy mathematics --- Set theory --- Mathematics of computing --- Fuzzy sets. --- Basic Sciences. Mathematics --- Mathematical Models, Simulation Models --- Mathematical Models, Simulation Models. --- 681.3*G Mathematics of computing --- Mathematical logic. --- Artificial intelligence. --- Operations research. --- Decision making. --- Mechanical engineering. --- Mathematical Logic and Foundations. --- Artificial Intelligence. --- Operations Research/Decision Theory. --- Mechanical Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Syllogism --- Decision making

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Mathematical logic --- Fuzzy sets --- Operations research --- Expert systems (Computer science) --- Ensembles flous --- Recherche opérationnelle --- Systèmes experts (Informatique) --- Artificial intelligence. --- Probabilités --- Théorie de l'information