08.805 (1) FUZZY SET THEORY AND APPLICATIONS (ELECTIVE III) 3 1 0

Module I (18 hours)Uncertainty and imprecision, Fuzzy sets and membership. Classical sets and Fuzzy sets, Operations,Properties. Classical relations and Fuzzy relations, Cartesian product, Crisp and Fuzzy relations, Toleranceand Equivalence relations, Cosine amplitude method, Max-Min method. Membership functions, Features,Various forms, Fuzzification, Membership value assignments, Intuition, Inference, Rank ordering, Inductivereasoning.

Module II (16 hours)Defuzzification to Crisp sets, Lambda-Cuts (-cuts) for Fuzzy sets and relations, Defuzzification methods.Classical Logic and Fuzzy Logic. Fuzzy systems, Natural language, Linguistic hedges. Fuzzy rule-basedsystems, Graphical techniques of inference.

Module III (18 hours)Applications, Fuzzy Controllers (overview & example), Fuzzy Systems and Neural Networks, Fuzzy NeuralNetworks, Fuzzy Clustering, Fuzzy Pattern Recognition, Fuzzy Image Processing, Fuzzy Databases andInformation retrieval systems