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On the choice of weights for aggregating judgments in non-negotiable AHP group decision making

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  • Amenta, Pietro
  • Lucadamo, Antonio
  • Marcarelli, Gabriella

Abstract

We propose a formal method to compute a suitable set of coefficients and aggregate individual judgments in a common group preference matrix. In our procedure we assume that there is a large dispersion and decision makers are unwilling or unable to revise their judgments and, in any case, the weights are not negotiable. Our method, based on Frobenius norm, provides a solution which takes into account a new congruence measure between decision makers.

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  • Amenta, Pietro & Lucadamo, Antonio & Marcarelli, Gabriella, 2021. "On the choice of weights for aggregating judgments in non-negotiable AHP group decision making," European Journal of Operational Research, Elsevier, vol. 288(1), pages 294-301.
    • Handle: RePEc:eee:ejores:v:288:y:2021:i:1:p:294-301
    DOI: 10.1016/j.ejor.2020.05.048
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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. Dong, Qingxing & Cooper, Orrin, 2016. "A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making," European Journal of Operational Research, Elsevier, vol. 250(2), pages 521-530.
    3. Zahir, Sajjad, 1999. "Geometry of decision making and the vector space formulation of the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 112(2), pages 373-396, January.
    4. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    5. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    6. Lavit, Christine & Escoufier, Yves & Sabatier, Robert & Traissac, Pierre, 1994. "The ACT (STATIS method)," Computational Statistics & Data Analysis, Elsevier, vol. 18(1), pages 97-119, August.
    7. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
    8. Gass, S. I. & Rapcsak, T., 2004. "Singular value decomposition in AHP," European Journal of Operational Research, Elsevier, vol. 154(3), pages 573-584, May.
    9. James S. Dyer, 1990. "A Clarification of "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 274-275, March.
    10. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, December.
    11. 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.
    12. Natalie M. Scala & Jayant Rajgopal & Luis G. Vargas & Kim LaScola Needy, 2016. "Group Decision Making with Dispersion in the Analytic Hierarchy Process," Group Decision and Negotiation, Springer, vol. 25(2), pages 355-372, March.
    13. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
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    6. 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.
    7. Zsombor Szádoczki & Sándor Bozóki & Patrik Juhász & Sergii V. Kadenko & Vitaliy Tsyganok, 2023. "Incomplete pairwise comparison matrices based on graphs with average degree approximately 3," Annals of Operations Research, Springer, vol. 326(2), pages 783-807, July.

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