IDEAS home Printed from https://ideas.repec.org/a/ids/ijmcdm/v3y2013i1p36-54.html
   My bibliography  Save this article

A multi-objective extension of the net flow rule for exploiting a valued outranking relation

Author

Listed:
  • Juan Carlos Leyva López
  • Mario Araoz Medina

Abstract

This paper presents a multiobjective extension of the net flow rule for solving multicriteria ranking problems: how to rank a set of alternatives when the aggregation model of preferences is a known valued outranking relation in a decreasing order of preference. When the aggregation model of preferences is based on the outranking approach, special treatment is required, but some non-consistent situations of the explicit global model of preferences could happen. In this case, the exploitation phase could then be treated as a multiobjective optimisation problem. In this way, a number of solutions can be found that provide the decision-maker with insight into the characteristics of the problem before a final solution is chosen. We present a multiobjective evolutionary algorithm for improving the quality of a recommendation when a valued outranking relation is exploited; the performance of the algorithm is evaluated on a set of test problems. Our computational results show that the multiobjective genetic algorithm-based heuristic is capable of producing high-quality recommendations.

Suggested Citation

  • Juan Carlos Leyva López & Mario Araoz Medina, 2013. "A multi-objective extension of the net flow rule for exploiting a valued outranking relation," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 3(1), pages 36-54.
    • Handle: RePEc:ids:ijmcdm:v:3:y:2013:i:1:p:36-54
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=52464
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Juan Carlos Leyva López & Pavel Anselmo Álvarez Carrillo & Diego Alonso Gastélum Chavira & Jesús Jaime Solano Noriega, 2017. "A web-based group decision support system for multicriteria ranking problems," Operational Research, Springer, vol. 17(2), pages 499-534, July.
    2. Leyva López, Juan Carlos & Solano Noriega, Jesús Jaime & Figueira, José Rui & Liu, Jun & Gastélum Chavira, Diego Alonso, 2021. "Non-dominated sorting genetic-based algorithm for exploiting a large-sized fuzzy outranking relation," European Journal of Operational Research, Elsevier, vol. 293(2), pages 615-631.
    3. Juan Carlos Leyva Lopez & Jesus Jaime Solano Noriega & Diego Alonso Gastelum Chavira, 2017. "A Multi-Criteria Approach to Rank the Municipalities of the States of Mexico by its Marginalization Level: The Case of Jalisco," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 473-513, March.

    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:ids:ijmcdm:v:3:y:2013:i:1:p:36-54. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=350 .

    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.