Computing random consistency indices and assessing priority vectors reliability
Computing random consistency indices and assessing priority vectors reliability
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DOI：
10.1016/j.ins.2017.08.082
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发表时间：
2017-12
期刊：
影响因子：
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通讯作者：
B. Cavallo
中科院分区：
文献类型：
--
作者：
B. Cavallo
本文讨论了多准则决策分析中的两个关键步骤，即判断一致性和方案/准则的优先向量，并从一个侧面提出了几个衡量两两比较矩阵一致性的一致性指标。另一方面，提出了弱于一致性的条件，如传递性和弱一致性，用于表示决策者通过互反成对比较矩阵表达偏好时的进一步一致性水平。本文首先通过模拟建立随机一致性指标与一致性水平之间的关系，然后，由于弱一致性保证了文献中提出的优先向量的可靠性，因此，在不存在弱一致性的情况下，进行第二次模拟以度量这些优先向量的可靠性。
The paper deals with two crucial steps in multi-criteria decision analysis, that are consistency of the judgments and priority vectors for alternatives/criteria.From a side, several consistency indices are proposed for measuring the consistency of a Pairwise Comparison Matrix. From another one, conditions weaker than consistency, such as transitivity and weak consistency, are proposed for representing further levels of coherence of a Decision Maker when he/she expresses his/her preferences by means of reciprocal Pairwise Comparison Matrix. Firstly, in this paper, a simulation is performed in order to establish a relation between random consistency index and coherence level.Then, since weak consistency ensures reliability to priority vectors proposed in literature, a second simulation is performed in order to measure, in case of no weak consistency, the reliability of these priority vectors.