The Analytic Hierarchy Process and the Theory of Measurement
The Analytic Hierarchy Process and the Theory of Measurement
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DOI：
10.1287/mnsc.1090.1123
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
Michele Bernasconi;C. Choirat;Raffaello Seri
中科院分区：
文献类型：
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作者：
Michele Bernasconi;C. Choirat;Raffaello Seri
层次分析法 (AHP) 是一种广泛应用于管理领域的决策程序，用于在多标准决策问题中确定优先级。层次分析法的基础是自上世纪中叶以来在心理物理学中发展起来的比例尺度测量理论。然而，众所周知，经典的比例缩放方法存在几个问题。我们根据现代测量理论重新考虑 AHP，该理论基于最近在数学心理学中公理化的所谓可分离表示。我们提供了各种理论和实证结果，说明层次分析法在多大程度上可以被认为是现代主观测量理论的可靠决策程序。
The analytic hierarchy process (AHP) is a decision-making procedure widely used in management for establishing priorities in multicriteria decision problems. Underlying the AHP is the theory of ratio-scale measures developed in psychophysics since the middle of the last century. It is, however, well known that classical ratio-scaling approaches have several problems. We reconsider the AHP in the light of the modern theory of measurement based on the so-called separable representations recently axiomatized in mathematical psychology. We provide various theoretical and empirical results on the extent to which the AHP can be considered a reliable decision-making procedure in terms of the modern theory of subjective measurement.