摘要
利用模糊数学相关理论,针对n人合作博弈中支付函数是模糊三角函数的情形,对经典Shapley值提出的三条公理进行了拓展,并构造了区间模糊Shapley值。考虑到盟友在合作结束后需要对具体的联盟收益进行分配,利用构造的区间模糊Shap-ley值隶属函数给出了确定的收益分配方案。最后利用实例对该方法的有效性和可行性进行了说明。
This study develop the interval-valued fuzzy Shapley values with the fuzzy characteristic of trigonometric payoff functions for nperson cooperative games and three axioms of classical Shapley value are extended on the basis of relevant theory of fuzzy mathematics. Considered that the concrete benefit distribution could be realized at the end of cooperation, we propose a payoff programme based on membership function of interval-valued fuzzy Shapley values. Eventually, a practical example is provided to illustrate the validity and feasibility of this method.
出处
《计算机工程与应用》
CSCD
北大核心
2008年第14期13-17,共5页
Computer Engineering and Applications
基金
国家重点基础研究发展规划(973)(the National Grand Fundamental Research 973 Program of China under Grant No.2002CB312200)
