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Empirical properties of group preference aggregation methods employed in AHP: Theory and evidence

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  • Bernasconi, Michele
  • Choirat, Christine
  • Seri, Raffaello

Abstract

We study various methods of aggregating individual judgments and individual priorities in group decision making with the AHP. The focus is on the empirical properties of the various methods, mainly on the extent to which the various aggregation methods represent an accurate approximation of the priority vector of interest. We identify five main classes of aggregation procedures which provide identical or very similar empirical expressions for the vectors of interest. We also propose a method to decompose in the AHP response matrix distortions due to random errors and perturbations caused by cognitive biases predicted by the mathematical psychology literature. We test the decomposition with experimental data and find that perturbations in group decision making caused by cognitive distortions are more important than those caused by random errors. We propose methods to correct the systematic distortions.

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  • 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.
  • Handle: RePEc:eee:ejores:v:232:y:2014:i:3:p:584-592
    DOI: 10.1016/j.ejor.2013.06.014
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    8. de Luca, Stefano, 2014. "Public engagement in strategic transportation planning: An analytic hierarchy process based approach," Transport Policy, Elsevier, vol. 33(C), pages 110-124.
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    10. Dušana Dokupilová & Vladimíra Kurincová Čavojová & Vladimír Baláž & Eva Ballová Mikušková & Dagmar Gombitová, 2021. "Smart advice for better governance: applying expert methods to high-stakes decisions," DECISION: Official Journal of the Indian Institute of Management Calcutta, Springer;Indian Institute of Management Calcutta, vol. 48(3), pages 285-293, September.
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    12. Xia, Meimei & Chen, Jian, 2015. "Multi-criteria group decision making based on bilateral agreements," European Journal of Operational Research, Elsevier, vol. 240(3), pages 756-764.
    13. Jahangir Wasim & Vijay Vyas & Pietro Amenta & Antonio Lucadamo & Gabriella Marcarelli & Alessio Ishizaka, 2023. "Deriving the weights for aggregating judgments in a multi-group problem: an application to curriculum development in entrepreneurship," Annals of Operations Research, Springer, vol. 326(2), pages 853-877, July.
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    16. Gagolewski, Marek, 2015. "Spread measures and their relation to aggregation functions," European Journal of Operational Research, Elsevier, vol. 241(2), pages 469-477.

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    More about this item

    Keywords

    Group decisions; Matrix differentials; Separable representations; Cognitive distortions;
    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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