SET DEFUZZIFICATION AND CHOQUET INTEGRAL-Reference-Cited by-同舟云学术

SET DEFUZZIFICATION AND CHOQUET INTEGRAL

Published:2001-02 Issue:01 Volume:09 Page:1-12
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

OGURA YUKIO¹,LI SHOUMEI²,RALESCU DAN A.³

Affiliation:

1. Department of Mathematics, Saga University, 1 Honjo-Machi, Saga, 840-8502, Japan

2. Department of Applied Mathematics, Beijing Polytechnic University, No. 100, Ping Le Yuan, Chaoyang District, Beijing 100022 , P.R. China

3. Information Synthesis Laboratory, Brain Science Institute, RIKEN, 2-1 Hirosawa, Wako-shi, Saitama 351-0198, Japan

Abstract

In this paper, we discuss the defuzzification problem. We first propose a set defuzzification method, (from a fuzzy set to a crisp set) by using the Aumann integral. From the obtained set to a point, we have two methods of defuzzification. One of these uses the mean value method and the other uses a fuzzy measure. In the first case, we compare our mean value method with the method of the center of gravity. In the second case, we compare fuzzy measure method with the Choquet integral method. We also give there a sufficient condition so that the results in the last two methods are equivalent.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488501000570

Reference11 articles.

1. Integrals of set-valued functions

2. Theory of capacities

3. Integrals, conditional expectations, and martingales of multivalued functions

4. Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense

5. Design of fuzzy logic controller for combustion control of stoker-fired boilers based on behavior modeling

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