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Learn · Approximate Reasoning using Fuzzy Set Theory

Lecture 11 of 57Week 3

Triangular Norms

Prof. Balasubramaniam Jayaram · IIT Hyderabad

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From
Approximate Reasoning using Fuzzy Set Theory, IIT Hyderabad (at NPTEL)
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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All the lectures

  1. Flow of the Course: A not-so-sneak peek YouTube
  2. Fuzzy Sets - The Necessity YouTube
  3. Fuzzy Sets - Representations YouTube
  4. Fuzziness vs Probability YouTube
  5. Fuzzy Sets - Some Important Notions YouTube
  6. Operations on Fuzzy Sets YouTube
  7. Posets on Fuzzy Sets YouTube
  8. Lattice of Fuzzy Sets YouTube
  9. Boolean Algebra of Sets YouTube
  10. Algebras on Fuzzy Sets YouTube
  11. Triangular Norms YouTube
  12. Triangular Norms: Analytical Aspects YouTube
  13. Triangular Norms: Algebraic Aspects YouTube
  14. T-Norms: Construction and Representations YouTube
  15. T-Norms:Complementation and Duality YouTube
  16. Fuzzy Implications YouTube
  17. Fuzzy Implications - Desirable Properties YouTube
  18. Construction of Fuzzy Implication - l YouTube
  19. Construction of Fuzzy Implication - ll YouTube
  20. Construction of Fuzzy Implication - lll YouTube
  21. Construction of Fuzzy Implications - IV YouTube
  22. (N, T, I)- An Organic Relationship YouTube
  23. Fuzzy Relations YouTube
  24. Composition of Fuzzy Relations YouTube
  25. Similarity & Compatibility Classes YouTube
  26. On the Transitivity of Fuzzy Relations - I YouTube
  27. On the Transitivity of Fuzzy Relations - II YouTube
  28. Fuzzy Propositions: Some Interpretations YouTube
  29. Fuzzy If-Then Rules YouTube
  30. Fuzzy Relational Inference YouTube
  31. Fuzzy Relational Inference - MISO Case YouTube
  32. Fuzzy Relational Inference - Multiple Rules YouTube
  33. Fuzzy Inferencing Schemes - A Visual Illustration YouTube
  34. Similarity Based Reasoning YouTube
  35. SBR : Mamdani Fuzzy Systems YouTube
  36. Introduction to Building a Mamdani FIS YouTube
  37. Contrast Enhancement in Images: An FIS Approach YouTube
  38. Takagi-Sugeno-Kang Fuzzy Systems YouTube
  39. Fuzzy Inference Systems- Interpolativity YouTube
  40. Interpolativity of FRI - Single SISO Rule YouTube
  41. Fuzzy Relational Equations YouTube
  42. Interpolativity of FRI - Multiple SISO Rules YouTube
  43. Similarity Based Reasoning- Interpolativity YouTube
  44. FRI ~ SBR : FITA ~ FATI :Some Connections YouTube
  45. Continuous Models of FRI YouTube
  46. Continuous Models of CRI and BKS YouTube
  47. Continuous Models of SBR YouTube
  48. Extensionality of a Fuzzy Set YouTube
  49. Robustness of CRI YouTube
  50. Robustness of BKS YouTube
  51. Robustness of SBR YouTube
  52. Monotonicity of an FIS YouTube
  53. Monotonicity of an FRI YouTube
  54. Monotonicity of an SBR YouTube
  55. Functional (In)Equalities involving FLCs YouTube
  56. Suitability of BKS with Yager’s Implications YouTube
  57. Law of Importation and Hierarchical CRI YouTube