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在划分系统下集合对策值的结构
引用本文:孙浩.在划分系统下集合对策值的结构[J].高校应用数学学报(英文版),2006,21(1).
作者姓名:孙浩
摘    要:


STRUCTURES OF VALUES FOR SET GAMES RESTRICTED BY PARTITION SYSTEM
Sun Hao.STRUCTURES OF VALUES FOR SET GAMES RESTRICTED BY PARTITION SYSTEM[J].Applied Mathematics A Journal of Chinese Universities,2006,21(1).
Authors:Sun Hao
Affiliation:Dept.of Appl.Math., Northwestern Polytechnical Univ., Shaanxi 710072, China
Abstract:A set game, in which the worth of a coalition is expressed by a set instead of areal number, is a new type of cooperative game.A F-restricted set game is a set game restricted by partition system.The main theorems show the structures of IM-value,OIM-value,SCM-value and ICM-value respectively,and the equivalency of IM-value and the OIM-value for monotonicset games restricted by partition system as well.
Keywords:F-restricted set game  partition system  value
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