IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v346y2025i2d10.1007_s10479-024-06327-4.html
   My bibliography  Save this article

A generalized approach for multi-criteria decision aid methods

Author

Listed:
  • Moussa Larbani

    (Higher National School of Statistics and Applied Economics
    National Higher School of Mathematics)

  • Belaid Aouni

    (Qatar University
    Carleton University)

Abstract

Outranking methods were developed for solving Multi-Criteria Decision-Making (MCDM) problems with a finite set of alternatives. In this paper, we propose a comprehensive framework that extends the application of outranking methods for solving MCDM problems with continuous sets of alternatives. This is achieved through the integration of multi-objective optimization methods and outranking methods. The derived Three-phases integration procedure is illustrated by the integration of the Weighted Sum method for continuous MCDM problems and the outranking Preference Ranking Organization METHod for Enrichment Evaluations (PROMETHEE) method. Moreover, the proposed framework incorporates the use of the Principal Component Analysis (CPA) to address the problem of selecting a Pareto optimal solution when the phase of application of the outranking method generates a large set of ‘best’ Pareto optimal solutions. The application potential of the procedure is illustrated by a multi-dimensional financial portfolio selection problem.

Suggested Citation

  • Moussa Larbani & Belaid Aouni, 2025. "A generalized approach for multi-criteria decision aid methods," Annals of Operations Research, Springer, vol. 346(2), pages 1187-1215, March.
    • Handle: RePEc:spr:annopr:v:346:y:2025:i:2:d:10.1007_s10479-024-06327-4
    DOI: 10.1007/s10479-024-06327-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-024-06327-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-024-06327-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:spr:annopr:v:346:y:2025:i:2:d:10.1007_s10479-024-06327-4. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.