摘要
本文提出了一类具有区间联盟收益值n人对策的Shapley值.利用区间数运算有关理论,通过建立公理化体系,对具有区间联盟收益值n人对策的Shapley值进行深入研究,证明了这类n人对策Shapley值存在性与唯一性,并给出了此Shapley值的具体表达式及一些性质.最后通过一个算例检验了其有效性与正确性.
The Shapley value of n-person cooperative games with interval coalition worth is investigated.In this paper,by means of operation rules of interval numbers,the axiom system is set up.We prove the existence and uniqueness of a solution concept for n-person games with interval coalition worth,which is called the Shapley value.And an explicit formula and some properties of the Shapley value are given.Finally,an illustrative example is provided to verify its feasibility and practicality.
出处
《应用数学学报》
CSCD
北大核心
2010年第2期193-203,共11页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(70631004)重点资助项目
国家自然科学基金(70801064
70771010)资助项目
关键词
n人合作对策
区间数联盟值
SHAPLEY值
n-persons cooperative games
interval number coalition worth
Shapley value
