A Median weighted product method for group decision support

  • Authors

    • Zoïnabo Savadogo Joseph Ki -zerbo university
    • Stéphane Aimé Metchebon TAKOUGANG
    • Frédéric NIKIEMA
    • Somdouda SAWADOGO
    2021-04-16
    https://doi.org/10.14419/ijamr.v10i1.31485
  • Multi-criteria aid Group decision support -aggregation function- Median Weighted product method

  • Abstract

    When it comes to a multiple criteria and multiple actors decision making problem known as a group decision support problem, the literature generally mentions two ways to aggregate the preferences of decision-makers to achieve consensual outcomes. The first class of group decision support methods run a same multi-criteria method for each decision-maker and thereafter, based on the individual result obtained, find a consensual result. The second class of methods first find a consensus on the preferences of decision-makers and then apply a multi-criteria method based on these consensual preferences to finally have a consensual result. In this work we propose a new method, belonging to the second class of methods for solving group decision problem. This method, called Median Weighted Product Method for

    Group Decision Support (MWPM-GDS) aims to achieve quickly and easily results that reflect as accurately as possible the choice of each decision-maker when solving group decision support problems. We applied the proposed method to two well-known examples in the literature and compared the results with those of two other group decision support methods to show its effectiveness.

  • References

    1. [8] Ferreira, R. J. P., De Almeida, A. T., and Ferreira, H. L. : Multiattribute
      p-median model for location of back-up transformers,(2010), Brazilian
      journal of Operations and Production Management, 7(2).
      [9] Figueira, J., Mousseau, V., and Roy, B. : ELECTRE methods,(2005),
      In Figueira, J., Greco, S., and Ehrgott, M., editors, Multiple Criteria
      Decision Analysis: State of the Art Surveys. Springer Verlag.
      [10] Ginting, R.: Intégration du système d’aide multicritère et du système
      d’intélligence économique dans l’ère concurrentielle, application dans le
      choix de partenaires en Indonésie, (2000),PhD thesis, Université de droit
      et des sciences d’Aix-Marseille, France.
      [11] Ginting, R. and Dou, H.: L’approche multidécideur multicritère d’aide ‘a
      la décision,(1997), In Actes du colloque sur Les syst‘emes d’information
      elaborée, Société Fran¸caise de Bibliometrie Appliquée, France.
      [12] Hatami-Marbini, A. and Tavana, M. : An extension of the electre
      i method for group decision-making under a fuzzy environment,(2011),
      Omega, 39.
      [13] Hochbaum, D. S. and Levin, A. : Methodologies and algorithms for
      group-rankings decision, (2016), Management Science, 52(9).
      [14] Härdle, W., Klinke, S., and Rönz, B. : Introduction to statistics, (2015),
      Springer, Cham, Switzerland .
      [15] Kolios, A., Mytilinou, V., Lozano-Minguez, E., and Salonitis, K. : A
      comparative study of multiple-criteria decision-making methods under
      stochastic inputs, (2016), Energies, 9(7).
      [16] Maystre, L., Pictet, J., and Simos, J. (1994).:

  • Downloads

  • How to Cite

    Savadogo, Z., TAKOUGANG, S. A. M., NIKIEMA, F., & SAWADOGO, S. (2021). A Median weighted product method for group decision support. International Journal of Applied Mathematical Research, 10(1), 1-9. https://doi.org/10.14419/ijamr.v10i1.31485

    Received date: 2021-03-06

    Accepted date: 2021-04-02

    Published date: 2021-04-16