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UNIVERSITY OF KERALA - Marian Engineering College

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B.Tech Comp. Sc. & Engg., University of Kerala 79<br />

08.805 (1) FUZZY SET THEORY AND APPLICATIONS (ELECTIVE III) 3 – 1 – 0<br />

Module I (18 hours)<br />

Uncertainty and imprecision, Fuzzy sets and membership. Classical sets and Fuzzy sets, Operations,<br />

Properties. Classical relations and Fuzzy relations, Cartesian product, Crisp and Fuzzy relations, Tolerance<br />

and Equivalence relations, Cosine amplitude method, Max-Min method. Membership functions, Features,<br />

Various forms, Fuzzification, Membership value assignments, Intuition, Inference, Rank ordering, Inductive<br />

reasoning.<br />

Module II (16 hours)<br />

Defuzzification to Crisp sets, Lambda-Cuts (-cuts) for Fuzzy sets and relations, Defuzzification methods.<br />

Classical Logic and Fuzzy Logic. Fuzzy systems, Natural language, Linguistic hedges. Fuzzy rule-based<br />

systems, Graphical techniques of inference.<br />

Module III (18 hours)<br />

Applications, Fuzzy Controllers (overview & example), Fuzzy Systems and Neural Networks, Fuzzy Neural<br />

Networks, Fuzzy Clustering, Fuzzy Pattern Recognition, Fuzzy Image Processing, Fuzzy Databases and<br />

Information retrieval systems.<br />

Text Books:<br />

1. Fuzzy Logic with <strong>Engineering</strong> Applications – Timothy J. Ross, Wiley Int. Edition (Modules I and II)<br />

2. Fuzzy Sets and Fuzzy Logic: Theory and Applications – George J. Klir and Bo Yuan , PHI (Module III)<br />

Reference Books:<br />

1. Fuzzy Sets, Uncertainty, and Information – George J. Klir and Tina A. Folger, PHI<br />

2. Fuzzy Set Theory and its Applications – H.J. Zimmerman, Kluwer Academic Publishers<br />

3. Fuzzy Logic: Intelligence, Control, and Information – John Yen and Reza Langari, Pearson Education<br />

Internal Continuous Assessment (Maximum Marks-50)<br />

25 Marks - Tests (minimum 2)<br />

15 Marks - Assignments (minimum 3) such as home work, problem solving, literature survey, seminar,<br />

term-project, software exercises, etc.<br />

10 Marks - Regularity in the class<br />

University Examination Pattern<br />

PART A: Short answer questions 10 x 4 marks=40 marks<br />

All questions are compulsory. There should be at least three questions<br />

from each module and not more than four questions from any module.<br />

PART B: Descriptive/Analytical/Problem solving questions 3 x 20 marks=60 marks<br />

Candidates have to answer one question out of two or two questions<br />

out of four from each module<br />

Maximum Total Marks: 100

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