IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v19y2014i1p21-39.html
   My bibliography  Save this article

Reducing the Pareto optimal set in MCDM using imprecise probabilities

Author

Listed:
  • Lev V. Utkin

Abstract

An approach for reducing a set of Pareto optimal solutions on the basis of specific information about importance of criteria is proposed in the paper. The DM's judgments about criteria have a clear behaviour interpretation and can be used in various decision problems. It is shown that the imprecise probability theory can be successfully applied for formalising the available information which is represented by means of a set of probability measures. Simple explicit expressions instead of linear programming problems are derived for dealing with three decision rules: maximality, interval dominance and interval bound dominance rules. Numerical examples illustrate the proposed approach.

Suggested Citation

  • Lev V. Utkin, 2014. "Reducing the Pareto optimal set in MCDM using imprecise probabilities," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 19(1), pages 21-39.
    • Handle: RePEc:ids:ijores:v:19:y:2014:i:1:p:21-39
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=57840
    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.

    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:ijores:v:19:y:2014:i:1:p:21-39. 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=170 .

    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.