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Weight determination for consistently ranking alternatives in multiple criteria decision analysis

机译：确定权重，以在多个标准决策分析中始终为替代方案排名

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摘要

One of the most difficult tasks in multiple criteria decision analysis (MCDA) is determining the weights of individual criteria so that all alternatives can be compared based on the aggregate performance of all criteria. This problem can be transformed into the compromise programming of seeking alternatives with a shorter distance to the ideal or a longer distance to the anti-ideal despite the rankings based on the two distance measures possibly not being the same. In order to obtain consistent rankings, this paper proposes a measure of relative distance, which involves the calculation of the relative position of an alternative between the anti-ideal and the ideal for ranking. In this case, minimizing the distance to the ideal is equivalent to maximizing the distance to the anti-ideal, so the rankings obtained from the two criteria are the same. An example is used to discuss the advantages and disadvantages of the proposed method, and the results are compared with those obtained from the TOPSIS method.
机译：多准则决策分析（MCDA）中最困难的任务之一是确定各个准则的权重，以便可以根据所有准则的综合绩效来比较所有备选方案。尽管基于两个距离度量的排名可能不相同，但该问题可以转化为折衷方案，以寻求距理想距离较短或距反理想距离较长的替代方案。为了获得一致的排名，本文提出了一种相对距离的度量，该度量包括计算反理想和排名理想之间的替代方案的相对位置。在这种情况下，最小化到理想的距离等同于最大化到反理想的距离，因此从这两个标准获得的排名是相同的。通过一个实例讨论了该方法的优缺点，并将结果与​​从TOPSIS方法获得的结果进行了比较。

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