Fuzzy Integral Calculation Site (Fuzzy Integrals and Fuzzy Measure)

Related Papers

• λ Fuzzy Measure Identification Methods using λ and Weights
• On Identification Methods of λ-Fuzzy Measures using Weights and λ

Choquet Integral

Functions

• Choquet Integral Calculation
• Calculation Process By Table
• Illustration

Procedure

1. INPUT: n( number of Evaluation Items)
2. INPUT: Fuzzy Measure and Input Values of Choqet Integral
3. OUTOUT: Choquet Integrated Value, Calculation Process By Table and Illustration

Usage

Choquet Integral using λ Fuzzy Measure

Functions

• Identifications of λ fuzzy measure
• Choquet Integral
• OUTPUT: TEXT FILES, GNUPLOT FILES, EPS FILES)
• Sensitivity Analysis

Procedure

1. INPUT: n( number of Evaluation Items) and m (number of Inputs)
2. INPUT: Names of Evaluation Items
3. CHOOSE: Weights Identification methods (Direct Input or Pairwise Comparison)
4. INPUT: Weights
5. CHOOSE: Interaction Degree Identification Method
6. INPUT: Interaction Degree
7. CHOOSE: Fuzzy Measure Identification Standard (Weights' Intention)
8. DISPLAY: Identified Fuzzy Measure
9. INPUT: Inputs of Choquet Integrals
10. DISPLAY: Choquet Integrated Values
11. INPUT: Sensitivity Analysis
12. DISPLAY: Sensitivity Analysis (GRAPH)

Usage

Fuzzy Integrals (Multipurpose)

Functions

• Fuzzy Integral Types: Choquet Integral, Sugeno Integral, Opposite Sugeno Integral
• Fuzzy Measure Identification Standards: Direct Input, Inputs numbers standard, Singleton fuzzy measure ratio standard, Shapley value standard
• Fuzzy Measure Display: Fuzzy Measure, Shapley Value, Möbius Inversion
• Calculation Process By Table and Calculation Process By Graph
• Sensitivity Analysis

Calculation: Weights of AHP

• Pairwise Comparison Matrix → Weights (or Score)

Usage

Links

• Japanese Version of this page
• My Homepage (Japanese)

Contact: takahagi@isc.senshu-u.ac.jp

(C) 2000-2004 Eiichiro TAKAHAGI