摘要
针对现实环境中联盟组成的不确定性,本文研究了具有模糊联盟的合作对策求解问题。提出了模糊联盟合作对策的一种新的分配方式,即平均分摊解,并给出了这种解与模糊联盟合作对策Shapley值一致的充分条件。同时,还提出了模糊联盟合作对策的Shapley值的一个重要性质。最后,结合算例进行了分析论证。
The solution to the cooperative games with fuzzy coalitions is researched based on the uncertainty of the coalition formation in reality .A new imputation method for cooperative games with fuzzy coalitions , namely the e-qual allocation solution , is defined .The sufficient condition of the equivalence between this solution and Shapley value for cooperative games with fuzzy coalitions is put forward in this paper .Finally, the property of Shapley value is also discussed .Meanwhile , an numerical example for this is given in the paper .
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2013年第6期65-70,共6页
Operations Research and Management Science
基金
上海市科委重点项目(11510502700)
教委创新项目(12ZZ189)
关键词
运筹学
合作对策
SHAPLEY值
模糊联盟
operational research
cooperative games
Shapley value
fuzzy coalitions