具有区间支付的合作对策的改进区间Shapley值  

Improved interval Shapley value for cooperative games with interval payoffs

作　　者：高作峰[1] 李晓春[1] 裴虎成[1] 曹敏[1] 孙林林[1] 张丽敏[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2011年第3期455-458,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：河北省自然科学基金资助项目(A2005000301);河北省高等学校科学研究计划基金资助项目(Z2010334)

摘　　要：针对合作对策中支付函数是区间数的情形,利用区间数运算的性质,根据区间shapley值的适用范围提出了改进的区间shapley值,能较好描述现实生活中的一类经济现象。利用和刻画经典合作对策shapley值类似的几个公理刻画了改进的区间shapley值,并将其值的分配用到了协调利益的实例中。This paper is based on the circumstance of pay-off function, which is the interval value in cooperative game. Based on the characteristics of the interval operation and suitable range Shapley value, the study provides an improved the interval Shapley value. The improved interval Shapley value can give a better description of a class of real-life economic phenomenon. Axioms of Shapley value are used to characterize the improved interval Shapley value. Case studies demonstrate the applications of the improved interval Shapley value in a profit allocation.

关 键 词：合作对策 改进的区间shapley值 公理化 分配 区间支付 

分 类 号：O225[理学—运筹学与控制论]