一种有限方案的多人不完全信息决策方法

An Approach for Multi-person Multi-criteria Decision with Incomplete Information

本文分析了有限方案的多人冲突性决策问题,提出一种冲突各方偏好信息不完全时的决策方法,该方法能够处理在冲突各方偏好信息均完全、有一方偏好传息不完全以及双方偏好信息均不完全三种情况下的方案比较与排序问题。文中给出了有限方案多人冲突决策问题的数学描述,提出并证明了几条有关方案优劣比较与排序的定理,设计了一种排序算法,并证明了该算法的正确性。

In this article, the multi-person multi-criteria decision problems with incomplete information are considered. An approach for this kind of problems is proposed. A joint decision model extended from Nash Bargaining Game model is presented and some theorems concerning the optimal solution are proved. A solution procedure to solve the multi-person multi-criteria decision problems with various kinds of information structures is designed.