A novel approach for solving a multiple judge, multiple criteria decision making (MCDM) problem is proposed. The presence of multiple criteria leads to a non-total order relation. The ranking of the alternatives in such a framework is done by reinterpreting the MCDM problem as a multivariate statistics one and by applying the concepts in Hamel and Kostner (J Multivar Anal 167:97–113, 2018). A function that ranks alternatives as well as additional functions that categorize alternatives into sets of “good” and “bad” choices are presented. The paper shows that the properties of these functions ensure a reasonable decision making process.

中文翻译：

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通过多元分位数进行多准则决策

提出了一种解决多法官，多准则决策（MCDM）问题的新颖方法。多个条件的存在导致非总顺序关系。通过将MCDM问题重新解释为多元统计数据，并在Hamel和Kostner中应用概念（J Multivar Anal 167：97–113，2018），可以在这种框架中对替代方案进行排名。给出了对备选方案进行排名的功能以及将备选方案分为“好”和“坏”选择集的其他功能。本文表明，这些功能的属性确保了合理的决策过程。