摘要
研究生产合作中的不确定预期收益的分配问题.利用区间数运算的性质,拓展了Shapley值在经典意义下的3条公理,提出了区间Shapley值的唯一形式,并进一步提出了改进的区间Shapley值分配方法.使基于区间Shapley值的分配结果是局中人实际收益的区间范围,其包含了局中人所有可能存在的收益分配值.实例分析结果表明,研究的区间数是支付函数模糊化的一种特殊形式,为求解具有其他模糊化形式支付的合作对策奠定了基础.
Profit allocation in uncertain product cooperative game is studied. Axioms of Shapley value as given by Shapley are extended to the interval Shapley value. The explicit and exclusive interval Shapley values are put forward. A new interval Shapley value has been proposed. The profit allocation scheme based on interval Shapley value is the interval range including all the real imputation by any possibility. Because the interval number is a special kind of fuzzy numbers, the results of this paper lays a foundation for the research on solutions of cooperative games in other fuzzy forms of payoffs.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2008年第7期655-658,共4页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(70471063
70771010)
国家"九八五"工程二期资助项目(107008200400024)
北京理工大学研究生科技创新项目资助(GB200818)
