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Assessing and Improving Consistency of a Pairwise Comparison Matrix in the Analytic Hierarchy Process

机译:层次分析法中成对比较矩阵的评估和改进

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A major breakthrough in multi-criteria decision analysis has been the Analytic Hierarchy Process (AHP), with its innovative applications of matrix theory and pioneering concept of consistency in human judgments for pairwise comparisons. However, the criterion for assessing consistency among these judgments in a pairwise comparison matrix of AHP is somewhat cumbersome to apply and the available procedures for improving the consistency of the matrix focus mainly on the effects rather than the source of the inconsistency: the underlying human judgments. This paper presents a simplified criterion for assessing the consistency of a pairwise comparison matrix. It further develops a systematic procedure for modifying an insufficiently consistent matrix to total consistency based on the degree of confidence the decision-maker places on these judgments, and discusses the implications of this total consistency modification procedure.
机译:多标准决策分析中的重大突破一直是分析层次过程(AHP),其具有矩阵理论的创新应用和人类判断一致性的先驱概念对成对比较。然而,在AHP的成对比较矩阵中评估这些判断中的一致性的标准有些令人繁琐的申请,以及提高矩阵的一致性的可用程序主要是对效果而不是不一致的源:潜在的人类判断。本文介绍了评估成对比较矩阵的一致性的简化标准。它进一步开发了一种系统的过程,用于根据决策者对这些判断的信心程度来修改完全一致的矩阵到总一致性,并讨论了这一总一致性修改程序的影响。

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