The Analytic Hierarchy Process and the Theory of Measurement
AbstractThe Analytic Hierarchy Process (Saaty 1977, 1980) is a decision-making procedure for establishing priorities in multi-criteria decision making. Underlying the AHP is the theory of ratio-scale measures developed by psychophysicist Stanley S. Stevens (1946, 1951) in the middle of the last century. It is however well-known that Stevens' original model was flawed in various respects. We reconsider the AHP at the light of the modern theory of measurement based on the so-called separable representations (Narens 1996, Luce 2002). 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.
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Bibliographic InfoPaper provided by Department of Economics, University of Venice "Ca' Foscari" in its series Working Papers with number 2009_24.
Date of creation: 2009
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Ratio scales; subjective weighting; decision-making;
Other versions of this item:
- Michele Bernasconi & Christine Choirat & Raffaello Seri, 2010. "The Analytic Hierarchy Process and the Theory of Measurement," Management Science, INFORMS, vol. 56(4), pages 699-711, April.
- C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-11-27 (All new papers)
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- Michele Bernasconi & Christine Choirat & Raffaello Seri, 2013. "Empirical properties of group preference aggregation methods employed in AHP. Theory and evidence," Working Papers 2013:10, Department of Economics, University of Venice "Ca' Foscari".
- Michele Bernasconi & Christine Choirat & Raffaello Seri, 2009. "A re-examination of the algebraic properties of the AHP as a ratio-scaling technique," Working Papers 2009_23, Department of Economics, University of Venice "Ca' Foscari".
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