IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v28y2017i4p528-550.html
   My bibliography  Save this article

A modification on 'ranking DMUs by L 1 -norm' and introducing a novel ranking method by Tchebycheff norm with fuzzy data in DEA

Author

Listed:
  • Babooshka Shavazipour
  • Hamed Zhiani Rezai
  • Alireza Davoodi

Abstract

Jahanshahloo et al. (2009) proposed a ranking model to efficient decision-making units (DMUs) including fuzzy data. The aforementioned method is based on L1-norm measure combined with the weighted signed distance between two fuzzy numbers. Firstly, it is shown by an example that the proposed method may not work correctly. And then, the modification of the method is presented in this paper. What is more, for more extension, another approach is introduced to ranking extremely efficient decision-making units in data envelopment analysis (DEA) models with fuzzy data. This approach is based on the Tchebycheff norm (infinity norm). Then, it is shown that this new model can address some shortcoming of the L1-norm proposed by previous authors. Finally, to demonstrate the concept, the case of 30 branches of social welfare bureau in Tehran is revisited and solutions are compared.

Suggested Citation

  • Babooshka Shavazipour & Hamed Zhiani Rezai & Alireza Davoodi, 2017. "A modification on 'ranking DMUs by L 1 -norm' and introducing a novel ranking method by Tchebycheff norm with fuzzy data in DEA," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 28(4), pages 528-550.
    • Handle: RePEc:ids:ijores:v:28:y:2017:i:4:p:528-550
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=82619
    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:28:y:2017:i:4:p:528-550. 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.