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The Analytic Hierarchy Process and the Theory of Measurement

Author

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  • Michele Bernasconi

    (Dipartimento di Scienze Economiche and SSE, Università "Ca' Foscari," I-30121 Venezia, Italy)

  • Christine Choirat

    (Department of Quantitative Methods, School of Economics and Business Management, Universidad de Navarra, E-31080 Pamplona, Spain)

  • Raffaello Seri

    (Dipartimento di Economia, Università dell'Insubria, I-21100 Varese, Italy)

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:56:y:2010:i:4:p:699-711
    DOI: 10.1287/mnsc.1090.1123
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    References listed on IDEAS

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    1. James S. Dyer, 1990. "Remarks on the Analytic Hierarchy Process," Management Science, INFORMS, vol. 36(3), pages 249-258, March.
    2. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    3. Ernest H. Forman & Saul I. Gass, 2001. "The Analytic Hierarchy Process---An Exposition," Operations Research, INFORMS, vol. 49(4), pages 469-486, August.
    4. Thomas L. Saaty, 1986. "Axiomatic Foundation of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 32(7), pages 841-855, July.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. Han Bleichrodt & Jose Luis Pinto & Peter P. Wakker, 2001. "Making Descriptive Use of Prospect Theory to Improve the Prescriptive Use of Expected Utility," Management Science, INFORMS, vol. 47(11), pages 1498-1514, November.
    7. Thomas L. Saaty, 1990. "An Exposition of the AHP in Reply to the Paper "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 259-268, March.
    8. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    9. Patrick T. Harker & Luis G. Vargas, 1990. "Reply to "Remarks on the Analytic Hierarchy Process" by J. S. Dyer," Management Science, INFORMS, vol. 36(3), pages 269-273, March.
    10. James S. Dyer, 1990. "A Clarification of "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 274-275, March.
    11. Zahedi, Fatemeh, 1986. "A simulation study of estimation methods in the analytic hierarchy process," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 347-354.
    12. James E. Smith & Detlof von Winterfeldt, 2004. "Anniversary Article: Decision Analysis in Management Science," Management Science, INFORMS, vol. 50(5), pages 561-574, May.
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    4. Jih-Jeng Huang, 2021. "Analytic Hierarchy Process with the Correlation Effect via WordNet," Mathematics, MDPI, vol. 9(8), pages 1-13, April.
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    7. José Luis Galdón Salvador & Gabriel Marín Díaz, 2024. "Enhancing Business Decision Making through a New Corporate Reputation Measurement Model: Practical Application in a Supplier Selection Process," Sustainability, MDPI, vol. 16(2), pages 1-28, January.
    8. Paulius Šūmakaris & Kristina Kovaitė & Renata Korsakienė, 2023. "An Integrated Approach to Evaluating Eco-Innovation Strategies from the Perspective of Strategic Green Transformation: A Case of the Lithuanian Furniture Industry," Sustainability, MDPI, vol. 15(11), pages 1-33, June.
    9. Liu, Fang & Zou, Shu-Cai & Li, Qing, 2020. "Deriving priorities from pairwise comparison matrices with a novel consistency index," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    10. 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".
    11. Akshay Hinduja & Manju Pandey, 2019. "A Distance-based Method for Computing Priorities of Intuitionistic Fuzzy Preference Relation and Its Application in AHP," Vision, , vol. 23(4), pages 329-340, December.
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    More about this item

    Keywords

    ratio scales; subjective weighting; decision making;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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