IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/64730.html
   My bibliography  Save this paper

An aggregation function to solve multicriteria ranking problem involving several decision makers

Author

Listed:
  • Savadogo, Zoïnabo
  • Ngoie, Ruffin-Benoit M.
  • Ulungu, Berthold E.-L.
  • Somé, Blaise

Abstract

Multiple Criteria Decision Aiding (MCDA) has been studied in a single decision maker framework for a long time. Nowadays, the need to take into account several conflicting opinions handled by several decisions makers arises. So, researchers are interested with multicriteria problems involving several decision makers. In this context, to solve ranking problem, we develop an aggregation model of several additive value functions. Comparisons with a derivative ELECTRE I method is done on numerical data. Clearly, it appears that the proposed aggregation function is better according to calculation complexity and computation time. Way for further research in this field is proposed.

Suggested Citation

  • Savadogo, Zoïnabo & Ngoie, Ruffin-Benoit M. & Ulungu, Berthold E.-L. & Somé, Blaise, 2013. "An aggregation function to solve multicriteria ranking problem involving several decision makers," MPRA Paper 64730, University Library of Munich, Germany, revised Feb 2014.
    • Handle: RePEc:pra:mprapa:64730
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/64730/1/MPRA_paper_64730.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Denis Bouyssou & Marc Pirlot, 2002. "Nontransitive Decomposable Conjoint Measurement," Post-Print hal-02361942, HAL.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 246-276, April.
    2. Bouyssou, Denis & Pirlot, Marc, 2009. "An axiomatic analysis of concordance-discordance relations," European Journal of Operational Research, Elsevier, vol. 199(2), pages 468-477, December.
    3. Bouyssou, Denis & Pirlot, Marc, 2004. "A note on Wakker's Cardinal Coordinate Independence," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 11-22, July.
    4. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, I: The case of two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 217-245, April.
    5. Michel Grabisch & Salvatore Greco & Marc Pirlot, 2008. "Bipolar and bivariate models in multi-criteria decision analysis: descriptive and constructive approaches," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00340374, HAL.
    6. Denis Bouyssou & Marc Pirlot, 2015. "A consolidated approach to the axiomatization of outranking relations: a survey and new results," Annals of Operations Research, Springer, vol. 229(1), pages 159-212, June.
    7. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2020. "A theoretical look at ELECTRE TRI-nB," Working Papers hal-02917994, HAL.
    8. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2020. "A theoretical look at ELECTRE TRI-nB," Working Papers hal-02898131, HAL.
    9. Bouyssou, Denis & Pirlot, Marc, 2007. "Further results on concordance relations," European Journal of Operational Research, Elsevier, vol. 181(1), pages 505-514, August.
    10. Bouyssou, Denis & Pirlot, Marc, 2005. "A characterization of concordance relations," European Journal of Operational Research, Elsevier, vol. 167(2), pages 427-443, December.
    11. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2023. "A theoretical look at Electre Tri-nB and related sorting models," 4OR, Springer, vol. 21(1), pages 1-31, March.
    12. Denis Bouyssou & Marc Pirlot, 2015. "A note on the asymmetric part of an outranking relation," Post-Print hal-01326876, HAL.
    13. Bouyssou, Denis & Marchant, Thierry, 2013. "Multiattribute preference models with reference points," European Journal of Operational Research, Elsevier, vol. 229(2), pages 470-481.
    14. Tserenjigmid, Gerelt, 2015. "Theory of decisions by intra-dimensional comparisons," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 326-338.
    15. Bouyssou, Denis & Pirlot, Marc, 2005. "Following the traces:: An introduction to conjoint measurement without transitivity and additivity," European Journal of Operational Research, Elsevier, vol. 163(2), pages 287-337, June.

    More about this item

    Keywords

    Aggregation Function; Group Decision; Multicriteria Decision Aiding; Ranking Problem;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D79 - Microeconomics - - Analysis of Collective Decision-Making - - - Other

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:64730. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.