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Seeking consistency with paired comparisons: a systems approach
Theory and Decision ( IF 0.802 ) Pub Date : 2021-04-27 , DOI: 10.1007/s11238-021-09805-4
Donald G. Saari

It is well known that decision methods based on pairwise rankings can suffer from a wide range of difficulties. These problems are addressed here by treating the methods as systems, where each pair is looked upon as a subsystem with an assigned task. In this manner, the source of several difficulties (including Arrow’s Theorem) is equated with the standard concern that the “whole need not be the sum of its parts.” These problems arise because the objectives assigned to subsystems need not be compatible with that of the system. Knowing what causes the difficulties leads to resolutions.



中文翻译:

寻求配对比较的一致性:一种系统方法

众所周知,基于成对排名的决策方法可能会遇到各种各样的困难。通过将这些方法视为系统来解决这些问题,其中每对被视为具有分配任务的子系统。通过这种方式,几个困难的源头(包括阿罗定理)等同于标准的关注点,即“整个不需要是其各部分的总和”。出现这些问题是因为分配给子系统的目标不需要与系统的目标兼容。知道是什么原因导致了困难,才导致解决方案。

更新日期:2021-04-28
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