Course Details
Subject {L-T-P / C} : MA5326 : Fuzzy Logic and Set Theory { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Snehashish Chakraverty
Syllabus
Fuzzy sets, Support, Membership function, Alpha cut, Fuzzy union and intersection, Fuzzy numbers, Fuzzy addition, subtraction, multiplication and division, Fuzzy relation, Fuzzy graph, Fuzzy functions, Fuzzy differentiation and integration, Fuzzy topology, Fuzzy inference, Fuzzy control, Fuzzy system of equations, Fuzzy initial value problems.
Course Objectives
- Understanding about uncertainty modeling
- Fuzzy and interval uncertainty
- Fuzzy uncertainty in algebraic equations
- Fuzzy set theory applications in science and engineering problems
Course Outcomes
Understanding concept of fuzzy set theory and logic. Fuzzy based uncertainty in various mathematical models related to different application problems.
Essential Reading
- H. J. Zimmermann, Fuzzy Set Theory and Its Applications, Kluwer Academic Publishers, 1998 , 1998
- S. Chakraverty, Deepti Moyi Sahoo and Nisha Rani Mahato, Concepts of Soft Computing - Fuzzy and ANN with Programming, Springer Nature Singapore 2019 , 2019
Supplementary Reading
- S. Chakraverty, Smita Tapaswini and Diptiranjan Behera, Fuzzy Differential Equations and Applications for Engineers and Scientists, CRC Press/Taylor & Francis Group (2016) , 2016
- Sukanta Nayak, S. Chakraverty, INTERVAL FINITE ELEMENT METHOD WITH MATLAB, Elsevier 2018 , 2018