权重信息完全未知且对方案有偏好的多属性决策法

A Method for Multiple Attribute Decision Making without Weight Information but with Preference Information on Alternatives

研究了属性权重信息完全未知且决策者对方案有偏好的多属性决策问题.针对决策者对方案的偏好信息以互补判断矩阵形式给出的情形,基于互补判断矩阵,利用线性转换函数将决策信息一致化,然后建立了一个优化模型,进而给出了一种相应的决策方案排序方法.最后进行了实例分析.

This paper studies the multi\|attribute decision\|making problems, in which the information about attribute weights is completely unknown and the decision\|maker (DM) has preference information on alternatives. Aiming to the situations where the preference information takes the form of complementary judgement matrix, we make the decision information uniform by using a linear translation function based on complementary judgement matrix, and establish an optimization model. We then give a method for ranking the alternatives. Finally, a numerical example is given to illustrate the developed method.