IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v97y2000i1p357-37810.1023-a1018948829280.html
   My bibliography  Save this article

The nearest adjoining order method for pairwise comparisons in the form of difference of ranks

Author

Listed:
  • Leszek Klukowski

Abstract

The problem of ranking of elements from some finite set on the basis of nearest adjoining order method for pairwise comparisons is investigated in this paper. It is assumed that in the set under consideration there exists a weak preference relation, which is to be identified (estimated) on the basis of pairwise comparisons in the form of difference of ranks. Moreover, the results of comparisons may be disturbed with random errors; the assumptions made about error distributions are not restrictive. The paper comprises: the problem formulation (definitions, assumptions, and optimisation problem, which provides the NAO solution) and the theoretical background – the form of distributions of random variables which make it possible to determine the properties of NAO solution, in particular, evaluation of the probability, that the NAO solution is equivalent to the errorless one. The approach presented in the paper can be extended to the case of more than one comparison for each pair of elements, i.e., completely formalised multi-experts ranking procedure. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • Leszek Klukowski, 2000. "The nearest adjoining order method for pairwise comparisons in the form of difference of ranks," Annals of Operations Research, Springer, vol. 97(1), pages 357-378, December.
    • Handle: RePEc:spr:annopr:v:97:y:2000:i:1:p:357-378:10.1023/a:1018948829280
    DOI: 10.1023/A:1018948829280
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1018948829280
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1018948829280?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Leszek Klukowski, 2017. "Determining an estimate of an equivalence relation for moderate and large sized sets," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 27(2), pages 45-58.
    2. Lundh Torbjörn, 2006. "Which Ball is the Roundest? - A Suggested Tournament Stability Index," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 2(3), pages 1-23, July.
    3. repec:wut:journl:v:2:y:2012:id:1048 is not listed on IDEAS
    4. Leszek Klukowski, 2012. "Estimators of the relations of: equivalence, tolerance and preference on the basis of pairwise comparisons with random errors," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(2), pages 15-34.

    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:spr:annopr:v:97:y:2000:i:1:p:357-378:10.1023/a:1018948829280. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.