IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/657978.html
   My bibliography  Save this article

Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness

Author

Listed:
  • Jian Xiong
  • Xu Tan
  • Ke-wei Yang
  • Ying-wu Chen

Abstract

Many decision making problems involve multiple decision makers and conflicting objectives. This paper refers to this kind of problems as group decision making for multiobjective problems (GDM-MOP). The task of GDM-MOP is to select final solution(s) from a set of nondominated solutions according to the decision makers' preferences. However, it is common that the preference could be imprecise. We study the GDM-MOP where preferences are expressed by fuzzy reference points, called as fuzzy GDMMOP (FGDM-MOP). This paper provides a decision support model to simultaneously consider two measures for FGDM-MOP: consensus measure and robustness measure. The former is used to reflect the acceptable degree of a solution by the decision making group, while the latter indicates a solution's ability to cope with any change on preferences. A multiobjective evolutionary approach is presented to solve the problem. Finally, a modified benchmark function is studied to illustrate the proposed approach.

Suggested Citation

  • Jian Xiong & Xu Tan & Ke-wei Yang & Ying-wu Chen, 2013. "Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, August.
    • Handle: RePEc:hin:jnljam:657978
    DOI: 10.1155/2013/657978
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/657978.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/657978.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/657978?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
    ---><---

    Citations

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


    Cited by:

    1. Eduardo Fernández & Claudia Gómez-Santillán & Nelson Rangel-Valdez & Laura Cruz-Reyes, 2022. "Group Multi-Objective Optimization Under Imprecision and Uncertainty Using a Novel Interval Outranking Approach," Group Decision and Negotiation, Springer, vol. 31(5), pages 945-994, October.
    2. Balderas, Fausto & Fernández, Eduardo & Cruz-Reyes, Laura & Gómez-Santillán, Claudia & Rangel-Valdez, Nelson, 2022. "Solving group multi-objective optimization problems by optimizing consensus through multi-criteria ordinal classification," European Journal of Operational Research, Elsevier, vol. 297(3), pages 1014-1029.

    More about this item

    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:hin:jnljam:657978. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.