The Analytic Hierarchy Process and the Theory of Measurement

• 成果类型: Article
• 署名作者: Bernasconi, Michele; Choirat, Christine; Seri, Raffaello
• 署名单位: Universita Ca Foscari Venezia; University of Navarra; University of Insubria
• 刊物名称: MANAGEMENT SCIENCE
• ISSN/ISSBN: 0025-1909
• DOI: 10.1287/mnsc.1090.1123
• 发表日期: 2010
• 页码: 699-711
• 关键词: ratio scales; subjective weighting; decision making

摘要

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.