Home Experience Research Focus People Publications Books Projects Datasets Repository Awards Recognitions Events Gallery CIS11 IDEA Lab AIDAR Lab


EE658A: Fuzzy Set, Logic & Systems & Applications (2022-23 Sem II)


Course Contents

Introduction, Uncertainty, Imprecision and Vagueness, Fuzzy systems, Brief history of Fuzzy logic, Foundation of Fuzzy Theory, Fuzzy Sets and Systems, Fuzzy Systems in Commercial Products, Research Fields in Fuzzy Theory, Classical sets and Fuzzy sets, Classical Relations, Fuzzy relations, Membership Functions, Fuzzy to crisp conversions, Fuzzy arithmetic, Numbers, Vectors and the extension principle, Classical logic and Fuzzy logic, Mathematical background of Fuzzy Systems, Classical (Crisp) vs, Fuzzy sets, Representation of Fuzzy sets, Types of Membership Functions, Basic Concepts (support, singleton, height, a cut projections), Fuzzy set operations, Sand T Norms, Properties of Fuzzy sets, Sets as Points in Hypercube, Cartesian Product, Crisp and Fuzzy Relations, Examples, Linguistic variables and hedges, Membership function design. Basic Principles of Inference in Fuzzy Logic, Fuzzy IFTHEN Rules, Canonical Form, Fuzzy Systems and Algorithms, Approximate Reasoning, Forms of Fuzzy Implication, Fuzzy Inference Engines, Graphical Techniques of Inference, Fuzzifications/Defuzzification, Fuzzy System Design and its Elements, Design options. Fuzzy Events, Fuzzy Measures, Possibility Distributions as Fuzzy Sets, Possibility vs, Probability, Fuzzy Systems as Universal Approximations, Additive Fuzzy Systems (standard additive model).

Course Instructor

Nishchal K. Verma (nishchal@iitk.ac.in)

Course Handout

Click here

Course TA(s)

Mohd. Aquib (aquib@iitk.ac.in)

Lectures Schedule

Tuesday (10:30 AM to 12:00 PM) and Thursday (12:00 PM to 01:15 PM)

Venue

L-2

Lectures Material

Lecture 1 (Video Notes: Click here)
Lecture 2 (Video Notes: Click here)
Lecture 3 (Video Notes: Click here)
Lecture 4 (Video Notes: Click here)
Lecture 5 (Video Notes: Click here)
Lecture 6 (Video Notes: Click here)
Lecture 7 (Video Notes: Click here)
Lecture 8 (Video Notes: Click here)
Lecture 9 (Video Notes: Click here)
Lecture 10 (Video Notes: Click here)
Lecture 11 (Video Notes: Click here)
Lecture 12 (Video Notes: Click here)
Lecture 13 (Video Notes: Click here)
Lecture 14 (Video Notes: Click here)
Lecture 15 (Video Notes: Click here)
Lecture 16 (Video Notes: Click here)
Lecture 17 (Video Notes: Click here)
Lecture 18 (Video Notes: Click here)
Lecture 19 (Video Notes: Click here)
Lecture 20 (Video Notes: Click here)
Lecture 21 (Video Notes: Click here)
Lecture 22 (Video Notes: Click here)
Lecture 23 (Video Notes: Click here)
Lecture 24 (Video Notes: Click here)
Lecture 25 (Video Notes: Click here)
Lecture 26 (Video Notes: Click here)
Lecture 27 (Video Notes: Click here)