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The Analytic Hierarchy Process and the Theory of Measurement

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  • Michele Bernasconi

    ()
    (Department of Economics, University Of Venice CĂ  Foscari)

  • Christine Choirat

    (Department of Quantitative Methods, School of Economics and Business Management, Universidad de Navarra.)

  • Raffaello Seri

    (Dipartimento di Economia, UniversitĂ  dell'Insubria.)

Abstract

The 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 Info

Paper provided by Department of Economics, University of Venice "Ca' Foscari" in its series Working Papers with number 2009_24.

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Length: 34
Date of creation: 2009
Date of revision:
Handle: RePEc:ven:wpaper:2009_24

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Keywords: Ratio scales; subjective weighting; decision-making;

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Cited by:
  1. Bernasconi, Michele & Choirat, Christine & Seri, Raffaello, 2014. "Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence," European Journal of Operational Research, Elsevier, Elsevier, vol. 232(3), pages 584-592.
  2. Michele Bernasconi & Christine Choirat & Raffaello Seri, 2009. "A re-examination of the algebraic properties of the AHP as a ratio-scaling technique," Working Papers, Department of Economics, University of Venice "Ca' Foscari" 2009_23, Department of Economics, University of Venice "Ca' Foscari".
  3. Michele Bernasconi & Christine Choirat & Raffaello Seri, 2013. "Empirical properties of group preference aggregation methods employed in AHP. Theory and evidence," Working Papers, Department of Economics, University of Venice "Ca' Foscari" 2013:10, Department of Economics, University of Venice "Ca' Foscari".

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