Interaction transform of set functions over a finite set

被引：25

作者：

Denneberg, D

Grabisch, M

机构：

[1] Univ Bremen, D-28334 Bremen, Germany

[2] Thomson CSF, Cent Rech Lab, F-91404 Orsay, France

来源：

INFORMATION SCIENCES | 1999年 / 121卷 / 1-2期

关键词：

D O I：

10.1016/S0020-0255(99)00099-7

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper introduces a new transform of set functions over a finite set, which is linear and invertible as the well-known Mobius transform in combinatorics. This transform leads to the interaction index, a central concept in multicriteria decision making. The interaction index of a singleton happens to be the Shapley value of the set function or, in terms of cooperative game theory, of the value function of the game. Properties of this new transform are studied in detail, and some illustrative examples are given. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：149 / 170

页数：22

共 19 条

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Berge C., 1971, Principles of Combinatorics

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