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Checking the consistency of the solution in ordinal semi-democratic decision-making problems


  • Franceschini, Fiorenzo
  • Maisano, Domenico


An interesting decision-making problem is that aggregating multi-agent preference orderings into a consensus ordering, in the case the agents׳ importance is expressed in the form of a rank-ordering. Due to the specificity of the problem, the scientific literature encompasses a relatively small number of aggregation techniques. For the aggregation to be effective, it is important that the consensus ordering well reflects the input data, i.e., the agents׳ preference orderings and importance rank-ordering.

Suggested Citation

  • Franceschini, Fiorenzo & Maisano, Domenico, 2015. "Checking the consistency of the solution in ordinal semi-democratic decision-making problems," Omega, Elsevier, vol. 57(PB), pages 188-195.
  • Handle: RePEc:eee:jomega:v:57:y:2015:i:pb:p:188-195
    DOI: 10.1016/

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    References listed on IDEAS

    1. Corrente, Salvatore & Greco, Salvatore & Słowiński, Roman, 2013. "Multiple Criteria Hierarchy Process with ELECTRE and PROMETHEE," Omega, Elsevier, vol. 41(5), pages 820-846.
    2. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    3. Jessop, Alan, 2014. "IMP: A decision aid for multiattribute evaluation using imprecise weight estimates," Omega, Elsevier, vol. 49(C), pages 18-29.
    4. B. Fine & K. Fine, 1974. "Social Choice and Individual Rankings II," Review of Economic Studies, Oxford University Press, vol. 41(4), pages 459-475.
    5. Bilbao-Terol, Amelia & Arenas-Parra, Mar & Cañal-Fernández, Verónica & Antomil-Ibias, José, 2014. "Using TOPSIS for assessing the sustainability of government bond funds," Omega, Elsevier, vol. 49(C), pages 1-17.
    6. B. Fine & K. Fine, 1974. "Social Choice and Individual Ranking I," Review of Economic Studies, Oxford University Press, vol. 41(3), pages 303-322.
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    Cited by:

    1. Wu, Zhibin & Xu, Jiuping, 2016. "Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations," Omega, Elsevier, vol. 65(C), pages 28-40.
    2. Franceschini, Fiorenzo & Maisano, Domenico & Mastrogiacomo, Luca, 2016. "A new proposal for fusing individual preference orderings by rank-ordered agents: A generalization of the Yager's algorithm," European Journal of Operational Research, Elsevier, vol. 249(1), pages 209-223.
    3. Cascón, J.M. & González-Arteaga, T. & de Andrés Calle, R., 2019. "Reaching social consensus family budgets: The Spanish case," Omega, Elsevier, vol. 86(C), pages 28-41.

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