超对策模型中结局偏好模糊认知信息的融合

提出了一种新的超对策结局偏好模糊认知信息的融合方法.用一种模糊集结算子来表示专家群体对其他局中人结局偏好的模糊认知,通过求解线性规划模型得到结局偏好群体模糊认知的水平截集;以与模糊数的截集相关的解模糊函数和Newton-Cotes积分公式,得到专家群体对其他局中人结局偏好清晰认知的关系矩阵;运用大多数一致性优胜者模糊集来确定其他局中人的结局偏好向量.给出的数值例子说明了文中提出方法的有效性.

Method for Integrating Fuzzy Outcome Preference Perception Information in Hypergame Models

A novel method is presented for integrating hypergame fuzzy outcome preference perception information.Firstly,a fuzzy aggregate algorithm is used to indicate the opponent players' fuzzy outcome preference perceived by group experts.The level sets of each fuzzy outcome preference are obtained by solving linear programming models.Based on a defuzzification function associated with the level sets of fuzzy number and the Newton-Cotes numerical integration formula,the group crisp perception for opponent players' outcome preference relation is determined.At last,the concept of most consensus winner is used to decide the crisp outcome preference vectors in the hypergame models.A numerical example is provided to illustrate the proposed method.