群偏好 GMM 集结方法的讨论

A Discussion on GMM Group Preference Aggregation Methods in AHP

分析了ＧＭＭ在群偏好集结过程中，有关Ｐａｒｅｔｏ公理的违反问题．提出了序等价类的概念，并证明ＧＭＭ群集结模式满足Ｐａｒｅｔｏ公理的要求．

GMM is one of the popular methods for multi criteria group decision making in AHP. The violation of the Pareto optimality axiom of GMM employed in the process of aggregating group preference from individual decision makers opinion is analyzed. The author thinks that the conclusion is incorrect, and the reason why it is discussed. The concept of rank equivalence classes is proposed, and it is then shown that all the models for the GMM group preference aggregation satisfy the Pareto optimality axiom.