一种具有不确定偏好序信息的多指标群决策方法

针对具有不确定偏好序信息的多指标群决策问题,给出了一种决策分析方法。在本文中,首先对具有不确定偏好序信息的多指标群决策问题进行了描述;然后给出了将不确定偏好序转换为投票数的计算公式;进一步地,依据Bernardo方法的基本思想,根据每个专家给出的不确定偏好序信息,计算相应的投票数并构建群体投票矩阵,并基于群体投票矩阵构建0-1整数规划模型,通过求解模型可得到方案排序结果。最后,通过一个算例以及与已有方法的对比分析说明了本文给出的方法的可行性和有效性。

A Method for Multiple Criteria Group Decision Making with Uncertain Preference Ordinals

A method to solve the multiple criteria group decision making (MCGDM) problem with uncertain preference ordinals is proposed, in this paper. The MCGDM problem with uncertain preference ordinals is described first, and then the calculation formula for votes transformed from uncertain preference ordinals is given. Furthermore, according to the fundamental idea of Bernardo method, the corresponding votes are calculated and the group voting matrix is constructed based on the the uncertain preference ordinals given by expers. An 0-1 integer programming model is built based on the group voting matrix and the alternatives can be ranked by solving the model. At last, though a numerical study and comparatively analysis with previous method, the proposed method is proved to be feasible and effective.