基于最大满意度的互补判断矩阵排序方法

Maximum Satisfaction Methods to Derive Priorities of Complementary Judgment Matrix

目前对于互补判断矩阵虽然存在多种解法,但都没有得到彻底解决,本文从互补判断矩阵的定义入手,提出了两种互补判断矩阵排序向量的最大满意度模型和基于最大满意度方法下的互补判断矩阵一致性指标,讨论分析了最大满意度法的优点,最后通过算例分析说明该方法的合理性、优越性和可推广性。

Although many methods have been proposed, the complementary judgment matrix has not been solved satisfactorily. Based on the maximum satisfaction method, two kinds of models to derive priorities of complementary judgment matrix are proposed, and the consistency index is put forward according to the definition of the complementary judgment matrix. At the same time, the advantages of the models are discussed and analyzed. Finally, numerical examples are used to illustrate the rationality, superiority and extensibility of the models.