k-order additive discrete fuzzy measures and their representation

被引：732

作者：

Grabisch, M

机构：

来源：

FUZZY SETS AND SYSTEMS | 1997年 / 92卷 / 02期

关键词：

fuzzy measure; Pseudo-Boolean function; Mobius transform; Shapley value; interaction index; interaction representation;

D O I：

10.1016/S0165-0114(97)00168-1

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In order to face with the complexity of discrete fuzzy measures, we propose the concept of k-order additive fuzzy measure, including usual additive measures and fuzzy measures. Every discrete fuzzy measure is a k-order additive fuzzy measure for a unique k. A related topic of the paper is to introduce an alternative representation of fuzzy measures, called the interaction representation, which sets and extends in a common framework the Shapley value and the interaction index proposed by Murofushi and Soneda. (C) 1997 Elsevier Science B.V.

引用

页码：167 / 189

页数：23

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