一种要素双模糊的限制交流结构合作博弈方法及应用

针对具有限制交流结构的合作博弈,基于现实结盟局中人参与联盟程度模糊且联盟支付模糊的情形,提出一种带局中人偏好的要素(联盟与支付)双模糊限制交流结构合作博弈的A-T解(average tree solution)分配方法.首先基于局中人的风险偏好均值,结合模糊联盟合作博弈的Choquet积分形式,构建要素双模糊合作联盟的特征函数,进而给出一个满足公理体系的解公式.该博弈模型不仅能够刻画现实结盟的约束性和模糊性,且有利于分配收益函数的求解.最后,通过对典型限制交流农地经营PPP合作项目收益分配问题的应用分析,表明所提出方法相对于Shapley值更具合理性.

An allocation model of limited communication structure cooperative game with dual fuzzy elements

For cooperative games with limited communication structure, in view of that players'' participation rates and alliances profit are both fuzzy, an average tree(A-T) solution with fuzzy coalitions and fuzzy payoffs is proposed. Considering the degree of risk preference, we give the characteristic function by combining with the Choquet integral form, and then propose a solution formula that satisfies an axiom system. This solution model not only can depict the restrictiveness and fuzziness of the real alliance, but also benefit for solving the distribution function. Finally, the allocation method is applied to the revenue allocation of PPP project, which manifests that the method is more reasonable than the Shapley value.