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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
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    File URL: https://mpra.ub.uni-muenchen.de/64730/1/MPRA_paper_64730.pdf
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    References listed on IDEAS

    as
    1. Denis Bouyssou & Marc Pirlot, 2002. "Nontransitive Decomposable Conjoint Measurement," Post-Print hal-02361942, HAL.
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    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

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