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Exploiting value system multiplicity and preference voting for robust ranking

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  • Oukil, Amar

Abstract

Under a data envelopment analysis (DEA) framework, full ranking of a group of decision making units (DMUs) can be carried out through an adequate amalgamation of the cross-efficiency (CE henceforth) scores produced for each DMU. In this paper, we propose a ranking procedure that is based on amalgamating the weight profiles selected over the cross-evaluation rather than related CE scores. The new approach builds, for each DMU, a collective weight profile (CWP henceforth) by exploiting the preference voting system embedded within the matrix of weights, which views the assessing DMUs as voters and the input/output factors as candidates. The occurrence of zero votes is discussed as a special case and a two-level aggregation procedure is developed. The CWPs that are produced extend the concept of collective appreciation to the input/output factors of each DMU so that group dynamics is truly reflected, mainly in decision making circumstances where factor prioritization is necessary for making choices or allocating resources. The robustness of the proposed ranking approach is evaluated with three examples drawn from the literature.

Suggested Citation

  • Oukil, Amar, 2020. "Exploiting value system multiplicity and preference voting for robust ranking," Omega, Elsevier, vol. 94(C).
    • Handle: RePEc:eee:jomega:v:94:y:2020:i:c:s0305048318311113
    DOI: 10.1016/j.omega.2019.03.006
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    Cited by:

    1. Amar Oukil & Slim Zekri, 2021. "Investigating farming efficiency through a two stage analytical approach: Application to the agricultural sector in Northern Oman," Papers 2104.10943, arXiv.org.
    2. Zhiying Zhang & Huchang Liao, 2024. "A stochastic cross-efficiency DEA approach based on the prospect theory and its application in winner determination in public procurement tenders," Annals of Operations Research, Springer, vol. 341(1), pages 509-537, October.
    3. Borrás, Fernando & Ruiz, José L. & Sirvent, Inmaculada, 2023. "Peer evaluation through cross-efficiency based on reference sets," Omega, Elsevier, vol. 114(C).
    4. Amar Oukil & Srikrishna Madhumohan Govindaluri, 2020. "A hybrid multi‐attribute decision‐making procedure for ranking project proposals: A historical data perspective," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(3), pages 461-472, April.

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