部分权重信息下对方案有偏好的多属性决策法

研究只有部分权重信息且对方案有偏好的多属性决策问题．首先对方案的偏好信息以互反判断矩阵和互补判断矩阵这两种形式给出的情形，分别建立一个目标规划模型，通过求解这两个模型可确定属性的权重；然后提出一种基于目标规划模型的多属性决策方法；最后通过实例说明了该方法的可行性和有效性。

Method for multi-attribute decision making with preference information on alternatives under partial weight information

The multi-attribute decision making (MADM) problem is investigated, in which the information about attribute weights is partly known and the decision maker (DM) has preference information on alternatives. Two objective programming models are established under the situations where the DM has preference information on alternatives, which takes the form of reciprocal judgement matrix and complementary judgement matrix respectively. The attribute weights are determined by solving the two models. Furthermore, a method based on the models is presented for the MADM problem. Finally, an illustrative example is given to demonstrate the feasibility and effectiveness of the presented method.