Set defuzzification and Choquet integral

被引：21

作者：

Ogura, Y

Li, SM

Ralescu, DA

机构：

[1] Saga Univ, Dept Math, Saga 8408502, Japan

[2] Beijing Polytech Univ, Dept Appl Math, Beijing 100022, Peoples R China

[3] RIKEN, Informat Synth Lab, Brain Sci Inst, Wako, Saitama 3510198, Japan

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2001年 / 9卷 / 01期

关键词：

defuzzification; Aumann integral; Choquet integral; fuzzy measure;

D O I：

10.1142/S0218488501000570

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：1 / 12

页数：12

共 17 条

[1]

[Anonymous], RANDOM SETS INTEGRAL

[2] INTEGRALS OF SET-VALUED FUNCTIONS [J].