IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v323y2025i3p966-974.html
   My bibliography  Save this article

The Copeland ratio ranking method for abstract decision problems

Author

Listed:
  • Han, Weibin
  • Deemen, Adrian Van

Abstract

This paper deals with the problem of ranking a finite number of alternatives on the basis of a dominance relation. We firstly investigate some disadvantages of the Copeland ranking method, of the degree ratio ranking method and of the modified degree ratio ranking method which were characterized by using clone properties and classical axiomatic properties. Then, we introduce some alternative axiomatic properties and propose a new ranking method which is defined by the Copeland ratio of alternatives (i.e., the Copeland score of an alternative divided by its total degree). We show that this proposed ranking method coincides with the Copeland ranking method, the degree ratio ranking method and the modified degree ratio ranking method for abstract decision problems with complete and asymmetric dominance relations. Subsequently, we prove that this new ranking method is able to overcome the mentioned disadvantages of these ranking methods. After that, we provide a characterization for the Copeland ratio ranking method using the introduced axiomatic properties.

Suggested Citation

  • Han, Weibin & Deemen, Adrian Van, 2025. "The Copeland ratio ranking method for abstract decision problems," European Journal of Operational Research, Elsevier, vol. 323(3), pages 966-974.
  • Handle: RePEc:eee:ejores:v:323:y:2025:i:3:p:966-974
    DOI: 10.1016/j.ejor.2024.12.042
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221724009846
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2024.12.042?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
    ---><---

    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:eee:ejores:v:323:y:2025:i:3:p:966-974. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.