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Self-paced Advanced

Fuzzy Sets, Logic and Systems & Applications

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752 min
Anytime
English
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Why enroll

Participants should join this course to understand how fuzzy logic handles uncertainty and real-world complexity better than traditional logic.It helps build a strong foundation for computational intelligence, AI, and intelligent control systems.The course is suitable for beginners who want practical and industry-relevant knowledge.

Is this course for you?

You should take this if

  • You work in Automotive
  • You're a Electrical Engineering professional
  • You have 3+ years of hands-on experience in this field
  • You want to build skills in Engineering & Design, Project Management

You should skip if

  • You're new to this field with no prior experience
  • You need a different specialisation outside Electrical Engineering
  • You need live interaction with an instructor

Course details

This course is designed to provide a strong foundation in the fundamental concepts of fuzzy logic and its practical applications. It introduces the motivation behind fuzzy logic and explains how it differs from classical Boolean logic. Students will learn about fuzzy sets, membership functions, and fuzzy relations in a simple and intuitive manner. The course covers fuzzy inference systems and the process of fuzzy decision-making. Learners will understand how uncertainty and imprecision are handled in real-world problems using fuzzy logic. The course also introduces common fuzzy reasoning techniques and rule-based systems. Practical examples are used to demonstrate applications of fuzzy logic in control systems, decision support, and intelligent systems. The content is structured to be accessible to students from diverse backgrounds. The course prepares learners for further studies in computational intelligence. By the end, students will have a clear understanding of how fuzzy logic is applied in modern engineering and technology domains.

Source: IIT Kanpur-NPTEL[Youtube Channel]

Course suitable for

Key topics covered

  • Fuzzy Sets, Logic and Systems & Applications – Course Overview

  • Introduction: Fuzzy Sets, Logic and Systems & Applications

  • Introduction: Real-Life Applications of Fuzzy Systems

  • Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB – I

  • Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB – II

  • Membership Functions

  • Membership Functions – II

  • Nomenclatures Used in Fuzzy Set Theory – I

  • Nomenclatures Used in Fuzzy Set Theory – II

  • Nomenclatures Used in Fuzzy Set Theory – III

  • Set Theoretic Operation on Fuzzy Sets – I

  • Set Theoretic Operation on Fuzzy Sets – II

  • Properties of Fuzzy Sets – I

  • Properties of Fuzzy Sets – II

  • Properties of Fuzzy Sets – III

  • Properties of Fuzzy Sets – IV

  • Properties of Fuzzy Sets (Summary)

  • Distance between Fuzzy Sets – I

  • Distance between Fuzzy Sets – II

  • Distance between Fuzzy Sets – III

  • Arithmetic Operations on Fuzzy Numbers – I

  • Arithmetic Operations on Fuzzy Numbers – II

  • Arithmetic Operations on Fuzzy Numbers – III

  • Complement of Fuzzy Sets

  • T-norm Operators

Course content

The course is readily available, allowing learners to start and complete it at their own pace.

25 lectures12 hr 32 min
  1. Fuzzy Sets, Logic and Systems & Applications- Course Overview
    3 min
  2. Introduction: Fuzzy Sets, Logic and Systems & Applications
    29 min
  3. Introduction: Real Life Applications of Fuzzy Systems
    32 min
  4. Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - I
    29 min
  5. Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - II
    25 min
  6. Membership Functions
    30 min
  7. Membership Functions- ll
    39 min
  8. Nomenclatures Used In Fuzzy Set Theory
    36 min
  9. Nomenclatures Used In Fuzzy Set Theory -II
    31 min
  10. Nomenclatures Used In Fuzzy Set Theory-III
    33 min
  11. Set Theoretic Operation On Fuzzy Sets
    30 min
  12. Set Theoretic Operation on Fuzzy Sets- II
    20 min
  13. Properties of Fuzzy Sets - 1
    28 min
  14. Properties of Fuzzy Sets - 2
    30 min
  15. Properties of Fuzzy Sets - 3
    26 min
  16. Properties of Fuzzy Sets - 4
    34 min
  17. Properties of Fuzzy Sets
    35 min
  18. Distance between Fuzzy Sets
    33 min
  19. Distance between Fuzzy Sets - 2
    32 min
  20. Distance between Fuzzy Sets - 3
    38 min
  21. Arithmetic Operations on Fuzzy Numbers
    28 min
  22. Arithmetic Operations on Fuzzy Numbers-II
    33 min
  23. Arithmetic Operations on Fuzzy Numbers - 2
    35 min
  24. Compement of Fuzzy Sets
    34 min
  25. T-norm Operators
    29 min

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Questions and Answers

A: Pick the wrong cause and you’ll chase CAN timing or rewrite rules while the vehicle keeps jerking in parking maneuvers. The binary behavior points to fuzzification failing, not inference or actuation. A unit mismatch drives every input straight into the extreme membership sets, so the controller degenerates into on/off logic. Fixing the units restores graded membership and smooth output.

A: Do it out of order and you’ll sign off a system that only passes step tests yet fails in real driving. Fuzzy control lives or dies in the graded input space. Wiring and polarity come first, then you deliberately walk the inputs to see membership overlap and smooth defuzzification. Jumping straight to full commands skips the failure mode entirely.

A: Miss this and you’ll argue the safeguard covers more than it does, which is how DFMEAs get brittle. A torque clamp caps magnitude, not correctness. If the fuzzy inputs are biased, the system can calmly deliver the wrong torque and erode stability. Hardware faults and obvious wheel spin are already constrained by other layers.

A: Underestimate this and the ECU runs out of flash late in integration, blowing the SOP gate. The rule count explodes with the input combinations: 5 raised to the 7th power. Outputs attach to each rule but don’t multiply the count. Activation sparsity helps runtime, not storage.