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EE658A: Fuzzy Set, Logic & Systems & Applications (2018-19 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, Fuzzyifications/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 TA:
Teena Sharma (teenashr@iitk.ac.in)
Vikas Singh (vikkyk@iitk.ac.in)
Lecture Schedule:
Monday (11:00 AM to 12:00 PM)
Thursday (09:00 AM to 11:00 AM)
Course Email:


Please submit your assignment to course email: ee658.iitk@gmail.com.
Assignment 1 (Download)  Deadline - January 16, 2019
Assignment 2 Deadline - January 16, 2019
Assignment 3 (Download)  Deadline - January 21, 2019
Assignment 4 (Download)  Deadline - January 24, 2019
Assignment 5 (Download)  Deadline - February 4, 2019 (Before 09:00 AM)
Assignment 6 (Download)  Deadline - February 11, 2019 (Before 09:00 AM)
Assignment 7 (Download)  Deadline - February 25, 2019 (Before 09:00 AM)
Assignment 8 (Download)  Deadline: March 17th, 2019 (11:59 PM)

Lecture Material

Lecture 1 (Download)
Lecture 2 (Download)
Lecture 3 (Download)
Lecture 4 (Download)
Lecture 5 (Download)
Lecture 6 (Download)
Lecture 7 (Download)
Lecture 8 (Download)
Lecture 9 (Download)
Lecture 10 (Download)
Lecture 11 (Download)
Lecture 12 (Download)
Lecture 13 (Download)
Lecture 14 (Download)
Lecture 15 (Download)
Lecture 17 (Download)
Lecture 18 (Download)
Lecture 19 (Download)
Lecture 20 (Download)

Mid Semester

Question Paper: (Download)
Solution: (Download)

Mid Semester Make Up

Question Paper: (Download)
Solution: (Download)

Research Papers

Paper 1: Generating Fuzzy Rules by Learning from Examples
Paper 2: Fuzzy Identification of Systems and Its Applications to Modeling and Control

Course Project

Paper: Adaptive Type-2 Fuzzy Approach for Filtering Salt and Pepper Noise in Grayscale Images
Deadline - April 1st, 2019 for Report Submission, MATLAB codes and Presentation slides to ee658.iitk@gmail.com
Download Codes