An axiomatic characterization of Promethee II's net flow scores based on a combination of direct comparisons and comparisons with third alternatives

IF 1.9 Q3 MANAGEMENT Journal of Multi-Criteria Decision Analysis Pub Date : 2022-03-18 DOI:10.1002/mcda.1781
Gilles Dejaegere, Mohamed Ayman Boujelben, Yves De Smet
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引用次数: 3

Abstract

Promethee ii is a multi-criteria decision aid method working as follows: firstly, all alternatives are compared two by two to form a pairwise comparison matrix. Then the net flow score procedure is applied on this matrix to assign a score to each alternative according to which they are ranked. Methods of the Promethee family may suffer from rank reversal occurrences. The legitimacy of methods suffering from this phenomenon has been largely debated in the literature. The aim of this work is to provide a characterization of the Promethee ii net flow scores as a combination between two distinct methods based on different hypotheses. The first one is based on the direct pairwise comparison of the two considered alternatives while the second is based on the comparison with respect to all the other alternatives of the problem. This combination highlights the dependence on third alternatives as an inherent characteristic of the Promethee ii method.

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基于直接比较和与第三种选择的比较,对《普罗米修斯II》的净流量得分进行公理化表征
Promethee ii是一种多准则辅助决策方法,其工作原理如下:首先,对所有的方案进行2对2的比较,形成两两比较矩阵。然后,在这个矩阵上应用净流评分程序,为每个备选方案分配一个分数,根据它们的排名。普罗米修斯家族的方法可能会发生等级反转。遭受这种现象的方法的合法性在文献中有很大的争议。这项工作的目的是提供普罗米修斯ii净流量分数的特征,作为基于不同假设的两种不同方法之间的组合。第一个是基于对考虑的两个备选方案的直接两两比较,而第二个是基于对问题的所有其他备选方案的比较。这种组合突出了对第三种替代方案的依赖,这是Promethee ii方法的固有特征。
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来源期刊
CiteScore
4.70
自引率
10.00%
发文量
14
期刊介绍: The Journal of Multi-Criteria Decision Analysis was launched in 1992, and from the outset has aimed to be the repository of choice for papers covering all aspects of MCDA/MCDM. The journal provides an international forum for the presentation and discussion of all aspects of research, application and evaluation of multi-criteria decision analysis, and publishes material from a variety of disciplines and all schools of thought. Papers addressing mathematical, theoretical, and behavioural aspects are welcome, as are case studies, applications and evaluation of techniques and methodologies.
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