一种基于互反判断矩阵的多属性决策信息集成方法

A Method for Integrating Four Types of Preference Information in Multi-Attribute Decision Making Based on Reciprocal Judgement Matrices

详细研究多属性决策中四类常见偏好信息 (即偏好次序型、效用值型、互补判断矩阵型和互反判断矩阵型 )之间的转换关系 ,然后将偏好次序型、效用值型、互补判断矩阵型这三类偏好信息转化成互反判断矩阵形式 ,再利用群组互反判断矩阵排序的加权几何平均法对决策方案进行排序择优 ,最后给出算例。

This paper first studies the relations among four types preference information (represented by means of preference orderings, utility values, complementary judgement matrices and reciprocal judgement matrices) in multi attribute decision making, then translates the three types preference information (i.e., preference orderings, utility values and complementary judgement matrices) into the forms of reciprocal judgement matrices. The weighted geometric mean priority method of group reciprocal judgement matrices is utilized to order alternatives. Finally, a algorithm example is given.