Fuzzy interval cooperative games

被引：40

作者：

Mallozzi, Lina ^{[2
]}

Scalzo, Vincenzo ^{[1
]}

Tijs, Stef ^{[3
,4
]}

机构：

[1] Univ Naples Federico II, Dept Math & Stat, I-80126 Naples, Italy

[2] Univ Naples Federico II, Dept Math & Applicat, I-80125 Naples, Italy

[3] Tilburg Univ, CentER, NL-5000 LE Tilburg, Netherlands

[4] Tilburg Univ, Dept Econometr & Operat Res, NL-5000 LE Tilburg, Netherlands

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 165卷 / 01期

关键词：

Fuzzy intervals; Cooperative game; Core;

D O I：

10.1016/j.fss.2010.06.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce a core-like concept (called F-core) for games in which the worth of any coalition is given by means of a fuzzy interval. Such a class of cooperative games was introduced by Mares in 1999. Different from Mares' approach, the F-core generalizes the interval core introduced by Alparslan, Branzei and Tijs in 2008 for games where the worth of any coalition is a compact interval of the real line. Moreover, we introduce a balanced-like condition and prove that this condition is necessary but not sufficient to guarantee the F-core to be non-empty. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：98 / 105

页数：8

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