IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v26y1978i2p322-332.html
   My bibliography  Save this article

Interactive Identification and Optimization Using a Binary Preference Relation

Author

Listed:
  • Donald A. Wehrung

    (University of British Columbia, Vancouver, British Columbia)

Abstract

This paper considers the problem in which a single decision maker must choose an element from a known nonempty choice set Y of multi-attributed elements when his preferences are uncertain. The preferences are uncertain in the sense that they are not explicitly available. The decision-maker's preferences are assumed to take the form of a binary relation on Y . We present an algorithm that requires the identification of preferences during the search process. The convergence of the adopted algorithm to a best element in Y relative to whatever preferences obtain is proved under the assumption that the identification of preferences is costless. We show that the sufficient conditions for convergence of this algorithm are weaker than the sufficient conditions for convergence of the interactive algorithm for the multiple criteria problem developed by Geoffrion, Dyer, and Feinberg.

Suggested Citation

  • Donald A. Wehrung, 1978. "Interactive Identification and Optimization Using a Binary Preference Relation," Operations Research, INFORMS, vol. 26(2), pages 322-332, April.
    • Handle: RePEc:inm:oropre:v:26:y:1978:i:2:p:322-332
    DOI: 10.1287/opre.26.2.322
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.26.2.322
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.26.2.322?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
    ---><---

    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:26:y:1978:i:2:p:322-332. 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.