Alternative representations of discrete fuzzy measures for decision making

被引：125

作者：

Grabisch, M ^{[1
]}

机构：

[1] THOMSON CSF,CENT RES LAB,F-91404 ORSAY,FRANCE

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 1997年 / 5卷 / 05期

关键词：

fuzzy measure; k-order additive measure; pseudo-Boolean function; Mobius inversion formula; Shapley value; interaction index; Choquet integral; multicriteria decision making;

D O I：

10.1142/S0218488597000440

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper introduces three different representations of fuzzy measures, through the Mobius transformation, and the expression of importance and interaction. This leads naturally to the concept of k-order additive measures. It is shown how these concepts can be used in decision making, especially multicriteria evaluation.

引用

页码：587 / 607

页数：21

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