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The Analytic Hierarchy Process and the Theory of Measurement

Author

Listed:
  • Michele Bernasconi

    (Department of Economics, University Of Venice C� Foscari)

  • Christine Choirat

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

  • Raffaello Seri

    (Dipartimento di Economia, Universit� 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.

Suggested Citation

  • Michele Bernasconi & Christine Choirat & Raffaello Seri, 2009. "The Analytic Hierarchy Process and the Theory of Measurement," Working Papers 2009_24, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2009_24
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    Cited by:

    1. Kriegel, Johannes & Rissbacher, Clemens & Pölzl, Alois & Tuttle-Weidinger, Linda & Reckwitz, Nanni, 2020. "Levers for integrating social work into primary healthcare networks in Austria," Health Policy, Elsevier, vol. 124(1), pages 75-82.
    2. Changsheng Lin & Gang Kou & Daji Ergu, 2013. "An improved statistical approach for consistency test in AHP," Annals of Operations Research, Springer, vol. 211(1), pages 289-299, December.
    3. 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, vol. 232(3), pages 584-592.
    4. Jih-Jeng Huang, 2021. "Analytic Hierarchy Process with the Correlation Effect via WordNet," Mathematics, MDPI, vol. 9(8), pages 1-13, April.
    5. Antonio Menéndez Suárez-Inclán & Cristina Allende-Prieto & Jorge Roces-García & Juan P. Rodríguez-Sánchez & Luis A. Sañudo-Fontaneda & Carlos Rey-Mahía & Felipe P. Álvarez-Rabanal, 2022. "Development of a Multicriteria Scheme for the Identification of Strategic Areas for SUDS Implementation: A Case Study from Gijón, Spain," Sustainability, MDPI, vol. 14(5), pages 1-20, March.
    6. AbdulHafeez Muhammad & Ansar Siddique & Quadri Noorulhasan Naveed & Uzma Khaliq & Ali M. Aseere & Mohd Abul Hasan & Mohamed Rafik N. Qureshi & Basit Shahzad, 2021. "Evaluating Usability of Academic Websites through a Fuzzy Analytical Hierarchical Process," Sustainability, MDPI, vol. 13(4), pages 1-22, February.
    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.
    12. Raffaello Seri & Samuele Centorrino & Michele Bernasconi, 2019. "Nonparametric Estimation and Inference in Economic and Psychological Experiments," Papers 1904.11156, arXiv.org, revised Dec 2019.

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    JEL classification:

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

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