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Course10810415760 lectures

Fuzzy Sets, Logic and Systems & Applications

Prof. Nishchal Kumar Verma · IIT Kanpur

Start with lecture 1 At NPTEL

Lectures

Week 1: Introduction of Fuzzy Sets, Logic and Systems & Applications

  1. Lecture 1:Introduction: Fuzzy Sets, Logic and Systems & Applications Video
  2. Lecture 2: Introduction - Real Life Applications of Fuzzy Systems Video
  3. Lecture 3: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - I Video
  4. Lecture 4: Fuzzy Sets and Fuzzy Logic Toolbox in MATLAB - II Video
  5. Lecture 5: Membership Functions Video

Week 2: Nomenclature Terms and Set Theoretic Operations used in Fuzzy Sets

  1. Lecture 6: Membership Functions-II Video
  2. Lecture 7: Nomenclatures used in Fuzzy Set Theory-I Video
  3. Lecture 8: Nomenclatures used in Fuzzy Set Theory-II Video
  4. Lecture 9: Nomenclatures used in Fuzzy Set Theory-III Video
  5. Lecture 10: Set Theoretic Operations on Fuzzy Sets-I Video

Week 3: Set Theoretic Operations and Fuzzy Set Properties

  1. Lecture 11: Set Theoretic Operations on Fuzzy Sets-II Video
  2. Lecture 12: Properties of Fuzzy Sets-I Video
  3. Lecture 13: Properties of Fuzzy Sets-II Video
  4. Lecture 14: Properties of Fuzzy Sets-III Video
  5. Lecture 15: Properties of Fuzzy Sets-IV Video

Week 4: Fuzzy Set Properties and Distance between Fuzzy Sets

  1. Lecture 16: Properties of Fuzzy Sets-V Video
  2. Lecture 17: Distance between Fuzzy Sets-I Video
  3. Lecture 18: Distance between Fuzzy Sets-II Video
  4. Lecture 19: Distance between Fuzzy Sets-III Video
  5. Lecture 20: Arithmetic Operations on Fuzzy Numbers-I Video

Week 5: Arithmetic Operations on Fuzzy Numbers, Complement, T-norm and S-norm for Fuzzy Sets

  1. Lecture 21: Arithmetic Operations on Fuzzy Numbers-II Video
  2. Lecture 22: Arithmetic Operations on Fuzzy Numbers-III Video
  3. Lecture 23: Complement of Fuzzy Sets Video
  4. Lecture 24: T-norm Operators Video
  5. Lecture 25: S-norm Operators Video

Week 6: Parmeterized T-Norms, Parameterized S-Norms, Fuzzy Relation and its Operations

  1. Lecture 26: Parameterized T-Norm Operators Video
  2. Lecture 27: Parameterized S-Norm Operators Video
  3. Lecture 28: Fuzzy Relation-I Video
  4. Lecture 29: Fuzzy Relation-II Video
  5. Lecture 30: Operations on Crisp and Fuzzy Relations Video

Week 7: Projection, Cylindrical Extension and Properties of Fuzzy Relation

  1. Lecture 31: Projection of Fuzzy Relation Set Video
  2. Lecture 32: Cylindrical Extension of Fuzzy Set Video
  3. Lecture 33: Properties of Fuzzy Relation-I Video
  4. Lecture 34: Properties of Fuzzy Relation-II Video
  5. Lecture 35: Extension Principle Video

Week 8: Composition of Fuzzy Relations and Its Properties, Fuzzy Tolerance and Equivalence Relations

  1. Lecture 36: Composition of Fuzzy Relations Video
  2. Lecture 37: Properties of Composition of Fuzzy Relations Video
  3. Lecture 38: Fuzzy Tolerance and Equivalence Relations-I Video
  4. Lecture 39: Fuzzy Tolerance and Equivalence Relations-II Video
  5. Lecture 40: Fuzzy Tolerance and Equivalence Relations-III Video

Week 9: Linguistic Hedges, Negation/ Complement, Connectives, Concentration, Dilation, and Some Examples on Composite…

  1. Lecture 41: Linguistic Hedges Video
  2. Lecture 42: Linguistic Hedges and Negation/ Complement and Connectives Video
  3. Lecture 43: Concentration and Dilation & Composite Linguistic Term and Some Examples Video
  4. Lecture 44: Dilation and Composite Linguistic Term and Some Examples Video
  5. Lecture 45: Some Examples on Composite Linguistic Terms Video

Week 10: Contrast Intensification of Fuzzy Sets, Orthogonality of Fuzzy Sets, Fuzzy Rules, Fuzzy Reasoning, and Fuzzy…

  1. Lecture 46: Contrast Intensification of Fuzzy Sets Video
  2. Lecture 47: Orthogonality of Fuzzy Sets Video
  3. Lecture 48: Fuzzy Rules and Fuzzy Reasoning-I Video
  4. Lecture 49: Fuzzy Rules and Fuzzy Reasoning-II Video
  5. Lecture 50: Fuzzy Inference System Video

Week 11: Fuzzy Inference System: Mamdani Fuzzy Model and Examples

  1. Mamdani Fuzzy Model-I Video
  2. Mamdani Fuzzy Model-II Video
  3. Mamdani Fuzzy Model-III Video
  4. Example on Mamdani Fuzzy Model for Single Antecedent with Three Rules Video
  5. Example on Mamdani Fuzzy Model for Two Antecedents with Four Rules Video

Week 12: Fuzzy Inference System: Larsen Fuzzy Model, Tsukamoto Fuzzy Model, and TSK Fuzzy Model

  1. Lecture 56: Larsen Fuzzy Model-I Video
  2. Lecture 57: Larsen Fuzzy Model-II Video
  3. Lecture 58: Larsen Fuzzy Model-III Video
  4. Lecture 59: Tsukamoto Fuzzy Model Video
  5. Lecture 60: TSK Fuzzy Model Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Electrical Engineering
Teacher
Prof. Nishchal Kumar Verma
Level
Undergraduate
Language
English
Subjects
Engineering
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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