IDEAS home Printed from https://ideas.repec.org/a/wut/journl/v2y2012p15-34id1048.html
   My bibliography  Save this article

Estimators of the relations of: equivalence, tolerance and preference on the basis of pairwise comparisons with random errors

Author

Listed:
  • Leszek Klukowski

Abstract

This paper presents a review of results of the author in the area of estimation of the relations of equivalence, tolerance and preference within a finite set based on multiple, independent (in a stochastic way) pairwise comparisons with random errors, in binary and multivalent forms. These estimators require weaker assumptions than those used in the literature on the subject. Estimates of the relations are obtained based on solutions to problems from discrete optimization. They allow application of both types of comparisons – binary and multivalent (this fact relates to the tolerance and preference relations). The estimates can be verified in a statistical way; in particular, it is possible to verify the type of the relation. The estimates have been applied by the author to problems regarding forecasting, financial engineering and bio-cybernetics.

Suggested Citation

  • 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.
    • Handle: RePEc:wut:journl:v:2:y:2012:p:15-34:id:1048
    DOI: 10.5277/ord120202
    as

    Download full text from publisher

    File URL: https://ord.pwr.edu.pl/assets/papers_archive/1048%20-%20published.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.5277/ord120202?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
    ---><---

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. repec:wut:journl:v:2:y:2012:id:1048 is not listed on IDEAS
    3. 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.

    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:wut:journl:v:2:y:2012:p:15-34:id:1048. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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 Kasperski (email available below). General contact details of provider: https://edirc.repec.org/data/iopwrpl.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.