Math 2.0

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Approximate Reasoning using Fuzzy Set Theory MK2K1M1F06

URIm2://res/MK2K1M1F06
Kindcourse
CreatorsBalasubramaniam Jayaram (instructor)
Date2022-08-16
Scopein

Expressions

e1: edition

Languageen
Date2022-08-16
Contents
  • part 1: Week 1
  • session 1: Flow of the Course: A not-so-sneak peek
  • session 2: Fuzzy Sets - The Necessity
  • session 3: Fuzzy Sets - Representations
  • session 4: Fuzziness vs Probability
  • session 5: Fuzzy Sets - Some Important Notions
  • part 2: Week 2
  • session 6: Operations on Fuzzy Sets
  • session 7: Posets on Fuzzy Sets
  • session 8: Lattice of Fuzzy Sets
  • session 9: Boolean Algebra of Sets
  • session 10: Algebras on Fuzzy Sets
  • part 3: Week 3
  • session 11: Triangular Norms
  • session 12: Triangular Norms: Analytical Aspects
  • session 13: Triangular Norms: Algebraic Aspects
  • session 14: T-Norms: Construction and Representations
  • session 15: T-Norms:Complementation and Duality
  • part 4: Week 4
  • session 16: Fuzzy Implications
  • session 17: Fuzzy Implications - Desirable Properties
  • session 18: Construction of Fuzzy Implication - l
  • session 19: Construction of Fuzzy Implication - ll
  • session 20: Construction of Fuzzy Implication - lll
  • session 21: Construction of Fuzzy Implications - IV
  • session 22: (N, T, I)- An Organic Relationship
  • part 5: Week 5
  • session 23: Fuzzy Relations
  • session 24: Composition of Fuzzy Relations
  • session 25: Similarity & Compatibility Classes
  • session 26: On the Transitivity of Fuzzy Relations - I
  • session 27: On the Transitivity of Fuzzy Relations - II
  • part 6: Week 6
  • session 28: Fuzzy Propositions: Some Interpretations
  • session 29: Fuzzy If-Then Rules
  • session 30: Fuzzy Relational Inference
  • session 31: Fuzzy Relational Inference - MISO Case
  • session 32: Fuzzy Relational Inference - Multiple Rules
  • part 7: Week 7
  • session 33: Fuzzy Inferencing Schemes - A Visual Illustration
  • session 34: Similarity Based Reasoning
  • session 35: SBR : Mamdani Fuzzy Systems
  • session 36: Introduction to Building a Mamdani FIS
  • session 37: Contrast Enhancement in Images: An FIS Approach
  • session 38: Takagi-Sugeno-Kang Fuzzy Systems
  • part 8: Week 8
  • session 39: Fuzzy Inference Systems- Interpolativity
  • session 40: Interpolativity of FRI - Single SISO Rule
  • session 41: Fuzzy Relational Equations
  • session 42: Interpolativity of FRI - Multiple SISO Rules
  • session 43: Similarity Based Reasoning- Interpolativity
  • part 9: Week 9
  • session 44: FRI ~ SBR : FITA ~ FATI :Some Connections
  • session 45: Continuous Models of FRI
  • session 46: Continuous Models of CRI and BKS
  • session 47: Continuous Models of SBR
  • part 10: Week 10
  • session 48: Extensionality of a Fuzzy Set
  • session 49: Robustness of CRI
  • session 50: Robustness of BKS
  • session 51: Robustness of SBR
  • part 11: Week 11
  • session 52: Monotonicity of an FIS
  • session 53: Monotonicity of an FRI
  • session 54: Monotonicity of an SBR
  • part 12: Week 12
  • session 55: Functional (In)Equalities involving FLCs
  • session 56: Suitability of BKS with Yager’s Implications
  • session 57: Law of Importation and Hierarchical CRI

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