We introduce a method for explaining the results of various linear and hierarchical multi-criteria decision-making (MCDM) techniques such as WSM and AHP. The two key ideas are (A) to maintain a fine-grained representation of the values manipulated by these techniques and (B) to derive explanations from these representations through merging, filtering, and aggregating operations. An explanation in our model presents a high-level comparison of two alternatives in an MCDM problem, presumably an optimal and a non-optimal one, illuminating why one alternative was preferred over the other one. We show the usefulness of our techniques by generating explanations for two well-known examples from the MCDM literature. Finally, we show their efficacy by performing computational experiments.

翻译：我们引入了一种解释各种线性和等级性多标准决策技术(MCDM)结果的方法,如世界马氏和AHP。两个关键思想是:(A)保持这些技术所操纵的价值的精细代表,和(B)通过合并、过滤和集成作业从这些表述中得到解释。我们的模型解释对MCDM问题中两种选择的高度比较,一种可能是最佳的,另一种是非最佳的,说明为什么选择一种选择优于另一种选择。我们通过解释MCDM文献中两个众所周知的例子来显示我们的技术的效用。最后,我们通过进行计算实验来显示它们的效力。