'Fuzzy relation' diaporamas de présentation

PART 5 Fuzzy Relations

FUZZY SETS AND FUZZY LOGIC Theory and Applications. PART 5 Fuzzy Relations. 1. Crisp and fuzzy relations 2. Projections/Cylindric Ext. 3. Binary fuzzy relations 4. Relations on a single set 5. Equivalence relations. FUZZY SETS AND FUZZY LOGIC Theory and Applications.

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Chapter 3 FUZZY RELATION AND COMPOSITION

Chapter 3 FUZZY RELATION AND COMPOSITION. G.Anuradha. Outline. Product set Crisp / fuzzy relations Composition / decomposition Projection / cylindrical extension Extension of fuzzy set / fuzzy relation. Product set. Product set. Product set. A={a1,a2} B={b1,b2} C={c1,c2}

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Expert Systems

Expert Systems. Linguistic variables: a quintuple (x,T(x),U,G, ) X is the name of the variable;

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Expert Systems

Expert Systems. Linguistic variables: a quintuple (x,T(x),U,G, ) X is the name of the variable;

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Graphical Technique of Inference

Graphical Technique of Inference. Graphical Technique of Inference. Using max-product (or correlation product) implication technique, aggregated output for r rules would be:. Graphical Technique of Inference. Case 3: input(i) and input(j) are fuzzy variables. Graphical Technique of Inference.

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Computational Intelligence Winter Term 2011/12

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Computational Intelligence Winter Term 2010/11

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Computational Intelligence Winter Term 2012/13

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Computational Intelligence Winter Term 2009/10

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CHAPTER 2 Fuzzy Mathematics

CHAPTER 2 Fuzzy Mathematics. 2.5 Fuzzy Matrix. 2.6 Fuzzy Relation. 2.5 Fuzzy Matrix. 2.5.1 Basic definitions of fuzzy matrix. 2.5.2 Support of fuzzy matrix. 2.5.3 Composition of fuzzy matrix. 2.5.4 Transpose of fuzzy matrix.

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Hedge

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Classical Relations and Fuzzy Relations

A relation is of fundamental importance in all-engineering, science, and mathematically based fields . Relations are involved in logic, approximate reasoning, classification, rule-based systems, pattern recognition, and control. Relations represent the mapping of the sets.

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FUZZY RELATIONS, FUZZY GRAPHS, AND FUZZY ARITHMETIC

FUZZY RELATIONS, FUZZY GRAPHS, AND FUZZY ARITHMETIC. INTRODUCTION. 3 Important concepts in fuzzy logic Fuzzy Relations Fuzzy Graphs Extension Principle --. }. Form the foundation of fuzzy rules. basis of fuzzy Arithmetic. - This is what makes a fuzzy system tick!.

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Chapter 4 Fuzzy Graph and Fuzzy relation

Chapter 4 Fuzzy Graph and Fuzzy relation. 4.1.1 Graph and Fuzzy Graph. Graph G ? ( V , E ) V : Set of vertices(node or element) E : Set of edges An edge is pair ( x , y ) of vertices in V. Fuzzy Graph V : set of vertices E : fuzzy set of edges between vertices.

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Fuzzy Relation Equation

Fuzzy Relation Equation. Problem Definition. Notations Problem. Meaning of Relation Equation. Suppose we know the overall relation between X and Z, and a part of the relation between Y and Z, what should be between X and Y. Problem Partition. Partitioned solution set. Solution. Condition

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