IDEAS home Printed from https://ideas.repec.org/p/cvh/coecwp/2015-05.html
   My bibliography  Save this paper

Incomplete pairwise comparison matrices and weighting methods

Author

Listed:
  • Csató, László
  • Rónyai, Lajos

Abstract

A special class of preferences, given by a directed acyclic graph, is considered. They are represented by incomplete pairwise comparison matrices as only partial information is available: for some pairs no comparison is given in the graph. A weighting method satisfies the property linear order preservation if it always results in a ranking such that an alternative directly preferred to another does not have a lower rank. We study whether two procedures, the Eigenvector Method and the Logarithmic Least Squares Method meet this axiom. Both weighting methods break linear order preservation, moreover, the ranking according to the Eigenvector Method depends on the incomplete pairwise comparison representation chosen.

Suggested Citation

  • Csató, László & Rónyai, Lajos, 2015. "Incomplete pairwise comparison matrices and weighting methods," Corvinus Economics Working Papers (CEWP) 2015/05, Corvinus University of Budapest.
    • Handle: RePEc:cvh:coecwp:2015/05
    as

    Download full text from publisher

    File URL: https://unipub.lib.uni-corvinus.hu/1869/
    File Function: original version
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Directed acyclic graph; incomplete pairwise comparison matrix; Eigenvector Method; Logarithmic Least Squares Method;
    All these keywords.

    JEL classification:

    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

    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:cvh:coecwp:2015/05. 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: Adam Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/bkeeehu.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.