NOC:Approximate Reasoning using Fuzzy Set Theory

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. Balasubramaniam Jayaram

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 58

NPTEL Course Size : 5.4 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Flow of the Course: A not-so-sneak peek
Lecture 2 - Fuzzy Sets - The Necessity
Lecture 3 - Fuzzy Sets - Representations
Lecture 4 - Fuzziness vs Probability
Lecture 5 - Fuzzy Sets - Some Important Notions
Lecture 6 - Operations on Fuzzy Sets
Lecture 7 - Posets on Fuzzy Sets
Lecture 8 - Lattice of Fuzzy Sets
Lecture 9 - Boolean Algebra of Sets
Lecture 10 - Algebras on Fuzzy Sets
Lecture 11 - Triangular Norms
Lecture 12 - Triangular Norms: Analytical Aspects
Lecture 13 - Triangular Norms: Algebraic Aspects
Lecture 14 - T-Norms: Construction and Representations
Lecture 15 - T-Norms:Complementation and Duality
Lecture 16 - Fuzzy Implications
Lecture 17 - Fuzzy Implications - Desirable Properties
Lecture 18 - Construction of Fuzzy Implication - I
Lecture 19 - Construction of Fuzzy Implication - II
Lecture 20 - Construction of Fuzzy Implication - II
Lecture 21 - Construction of Fuzzy Implication - III
Lecture 22 - Construction of Fuzzy Implication - IV
Lecture 23 - (N, T, I)- An Organic Relationship
Lecture 24 - Fuzzy Relations
Lecture 25 - Composition of Fuzzy Relations
Lecture 26 - Similarity and Compatibility Classes
Lecture 27 - On the Transitivity of Fuzzy Relations - I
Lecture 28 - On the Transitivity of Fuzzy Relations - II
Lecture 29 - Fuzzy Propositions: Some Interpretations
Lecture 30 - Fuzzy If-Then Rules
Lecture 31 - Fuzzy Relational Inference
Lecture 32 - Fuzzy Relational Inference - MISO Case
Lecture 33 - Fuzzy Relational Inference - Multiple Rules
Lecture 34 - Fuzzy Inferencing Schemes - A Visual Illustration
Lecture 35 - Similarity Based Reasoning
Lecture 36 - SBR : Mamdani Fuzzy Systems
Lecture 37 - Introduction to Building a Mamdani FIS
Lecture 38 - Contrast Enhancement in Images: An FIS Approach
Lecture 39 - Takagi-Sugeno-Kang Fuzzy Systems
Lecture 40 - Fuzzy Inference Systems - Interpolativity
Lecture 41 - Interpolativity of FRI - Single SISO Rule
Lecture 42 - Fuzzy Relational Equations
Lecture 43 - Interpolativity of FRI - Multiple SISO Rules
Lecture 44 - Similarity Based Reasoning- Interpolativity
Lecture 45 - FRI~SBR : FITA~FATI : Some Connections
Lecture 46 - Continuous Models of FRI
Lecture 47 - Continuous Models of CRI and BKS
Lecture 48 - Continuous Models of SBR
Lecture 49 - Extensionality of a Fuzzy Set
Lecture 50 - Robustness of CRI
Lecture 51 - Robustness of BKS
Lecture 52 - Robustness of SBR
Lecture 53 - Monotonicity of an FIS
Lecture 54 - Monotonicity of an FRI
Lecture 55 - Monotonicity of an SBR
Lecture 56 - Functional (In)Equalities involving FLCs
Lecture 57 - Suitability of BKS with Yager's Implications
Lecture 58 - Law of Importation and Hierarchical CRI