Learn · Approximate Reasoning using Fuzzy Set Theory
Lecture 29 of 57Week 6
Fuzzy If-Then Rules
Prof. Balasubramaniam Jayaram · IIT Hyderabad
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- Approximate Reasoning using Fuzzy Set Theory, IIT Hyderabad (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- 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
- Flow of the Course: A not-so-sneak peek
- Fuzzy Sets - The Necessity
- Fuzzy Sets - Representations
- Fuzziness vs Probability
- Fuzzy Sets - Some Important Notions
- Operations on Fuzzy Sets
- Posets on Fuzzy Sets
- Lattice of Fuzzy Sets
- Boolean Algebra of Sets
- Algebras on Fuzzy Sets
- Triangular Norms
- Triangular Norms: Analytical Aspects
- Triangular Norms: Algebraic Aspects
- T-Norms: Construction and Representations
- T-Norms:Complementation and Duality
- Fuzzy Implications
- Fuzzy Implications - Desirable Properties
- Construction of Fuzzy Implication - l
- Construction of Fuzzy Implication - ll
- Construction of Fuzzy Implication - lll
- Construction of Fuzzy Implications - IV
- (N, T, I)- An Organic Relationship
- Fuzzy Relations
- Composition of Fuzzy Relations
- Similarity & Compatibility Classes
- On the Transitivity of Fuzzy Relations - I
- On the Transitivity of Fuzzy Relations - II
- Fuzzy Propositions: Some Interpretations
- Fuzzy If-Then Rules
- Fuzzy Relational Inference
- Fuzzy Relational Inference - MISO Case
- Fuzzy Relational Inference - Multiple Rules
- Fuzzy Inferencing Schemes - A Visual Illustration
- Similarity Based Reasoning
- SBR : Mamdani Fuzzy Systems
- Introduction to Building a Mamdani FIS
- Contrast Enhancement in Images: An FIS Approach
- Takagi-Sugeno-Kang Fuzzy Systems
- Fuzzy Inference Systems- Interpolativity
- Interpolativity of FRI - Single SISO Rule
- Fuzzy Relational Equations
- Interpolativity of FRI - Multiple SISO Rules
- Similarity Based Reasoning- Interpolativity
- FRI ~ SBR : FITA ~ FATI :Some Connections
- Continuous Models of FRI
- Continuous Models of CRI and BKS
- Continuous Models of SBR
- Extensionality of a Fuzzy Set
- Robustness of CRI
- Robustness of BKS
- Robustness of SBR
- Monotonicity of an FIS
- Monotonicity of an FRI
- Monotonicity of an SBR
- Functional (In)Equalities involving FLCs
- Suitability of BKS with Yager’s Implications
- Law of Importation and Hierarchical CRI