IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v28y1980i5p1100-1111.html
   My bibliography  Save this article

Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers

Author

Listed:
  • Richard E. Wendell

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

Abstract

We consider the important problem of obtaining a “majority consensus” among a number of individuals on the solution to a multiple objective optimization problem. When the number of objectives is greater than two, we observe that such a consensus exists-only under strong symmetry conditions. However, in the bi-objective situation, a “consensus” exists in the convex case and we show how to find it via direct and interactive approaches. In the nonconvex bi-objective situation, a “local consensus” always exists under rather weak regularity conditions.

Suggested Citation

  • Richard E. Wendell, 1980. "Multiple Objective Mathematical Programming with Respect to Multiple Decision-Makers," Operations Research, INFORMS, vol. 28(5), pages 1100-1111, October.
  • Handle: RePEc:inm:oropre:v:28:y:1980:i:5:p:1100-1111
    DOI: 10.1287/opre.28.5.1100
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.28.5.1100
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.28.5.1100?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. Fernandez, Eduardo & Olmedo, Rafael, 2013. "An outranking-based general approach to solving group multi-objective optimization problems," European Journal of Operational Research, Elsevier, vol. 225(3), pages 497-506.
    2. Luc Anselin, 1983. "A Simulation Framework For Modeling Dynamics In Policy Space," Conflict Management and Peace Science, Peace Science Society (International), vol. 7(1), pages 25-38, February.
    3. Wan S. Shin & Jung J. Lee, 1992. "A multi‐run interactive method for bicriterion optimization problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 115-135, February.

    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:inm:oropre:v:28:y:1980:i:5:p:1100-1111. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.