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A study on the anonymity of pairwise comparisons in group decision making

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  • Brunelli, Matteo

Abstract

Pairwise comparisons between criteria/alternatives are a well-established methodology for group decision making. Both in the literature and in real-world applications, it is common practice to average the opinions of various experts expressed as pairwise comparisons to find a compromise solution. This paper dwells on the inverse problem: given a decision maker who knows his own preferences and the aggregate ones, we introduce and study some optimization problems to help him estimate, in the form of intervals, the preferences of the other decision makers. Since the possibility of estimating the other participants’ preferences violates the requirement of anonymity, this paper also reports the results of some numerical simulations examining the relation between the number of participants in the decision process and their anonymity. In addition to numerical simulations with randomly generated data, this manuscript reports the results of experiments on a dataset of preferences collected in a real-world survey.

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  • Brunelli, Matteo, 2019. "A study on the anonymity of pairwise comparisons in group decision making," European Journal of Operational Research, Elsevier, vol. 279(2), pages 502-510.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:2:p:502-510
    DOI: 10.1016/j.ejor.2019.06.006
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    1. Islei, Gred & Lockett, Geoff, 1991. "Group decision making: Suppositions and practice," Socio-Economic Planning Sciences, Elsevier, vol. 25(1), pages 67-81.
    2. Aczel, J. & Alsina, C., 1986. "On synthesis of judgements," Socio-Economic Planning Sciences, Elsevier, vol. 20(6), pages 333-339.
    3. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.
    4. Sándor Bozóki & Linda Dezső & Attila Poesz & József Temesi, 2013. "Analysis of pairwise comparison matrices: an empirical research," Annals of Operations Research, Springer, vol. 211(1), pages 511-528, December.
    5. Wolfgang Ossadnik & Stefanie Schinke & Ralf H. Kaspar, 2016. "Group Aggregation Techniques for Analytic Hierarchy Process and Analytic Network Process: A Comparative Analysis," Group Decision and Negotiation, Springer, vol. 25(2), pages 421-457, March.
    6. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2009. "Aggregation functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445120, HAL.
    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. Herrera-Viedma, E. & Herrera, F. & Chiclana, F. & Luque, M., 2004. "Some issues on consistency of fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 154(1), pages 98-109, April.
    9. Christer Carlsson & Pirkko Walden, 1995. "AHP in Political Group Decisions: A Study in the Art of Possibilities," Interfaces, INFORMS, vol. 25(4), pages 14-29, August.
    10. Kaushik Mukhopadhaya, 2003. "Jury Size and the Free Rider Problem," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 19(1), pages 24-44, April.
    11. Nikou, Shahrokh & Mezei, József, 2013. "Evaluation of mobile services and substantial adoption factors with Analytic Hierarchy Process (AHP)," Telecommunications Policy, Elsevier, vol. 37(10), pages 915-929.
    12. Entani, Tomoe & Sugihara, Kazutomi, 2012. "Uncertainty index based interval assignment by Interval AHP," European Journal of Operational Research, Elsevier, vol. 219(2), pages 379-385.
    13. Mikhailov, L., 2004. "A fuzzy approach to deriving priorities from interval pairwise comparison judgements," European Journal of Operational Research, Elsevier, vol. 159(3), pages 687-704, December.
    14. Ananda, Jayanath & Herath, Gamini, 2008. "Multi-attribute preference modelling and regional land-use planning," Ecological Economics, Elsevier, vol. 65(2), pages 325-335, April.
    15. Khorramshahgol, Reza & Moustakis, Vassilis S., 1988. "Delphic hierarchy process (DHP): A methodology for priority setting derived from the Delphi method and analytical hierarchy process," European Journal of Operational Research, Elsevier, vol. 37(3), pages 347-354, December.
    16. Salo, Ahti A. & Hamalainen, Raimo P., 1995. "Preference programming through approximate ratio comparisons," European Journal of Operational Research, Elsevier, vol. 82(3), pages 458-475, May.
    17. Bose, Utpal & Davey, Anne M. & Olson, David L., 1997. "Multi-attribute utility methods in group decision making: Past applications and potential for inclusion in GDSS," Omega, Elsevier, vol. 25(6), pages 691-706, December.
    18. Xu, Z., 2000. "On consistency of the weighted geometric mean complex judgement matrix in AHP," European Journal of Operational Research, Elsevier, vol. 126(3), pages 683-687, November.
    19. Norman Dalkey & Olaf Helmer, 1963. "An Experimental Application of the DELPHI Method to the Use of Experts," Management Science, INFORMS, vol. 9(3), pages 458-467, April.
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