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Inconsistency in the ordinal pairwise comparisons method with and without ties

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  • Kułakowski, Konrad

Abstract

Comparing alternatives in pairs is a well-known method used to create ranking. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the final ranking is constructed. Experts conduct a series of single assessments, however, they may not always be consistent. The level of inconsistency among individual assessments is widely accepted as a measure of the ranking quality. The higher the ranking quality, the higher its credibility. One of the earliest and most widespread inconsistency indices is the consistency coefficient defined by Kendall and Babington Smith. In their work, the authors consider binary pairwise comparisons, i.e., those where the result of an individual comparison can only be better or worse.

Suggested Citation

  • Kułakowski, Konrad, 2018. "Inconsistency in the ordinal pairwise comparisons method with and without ties," European Journal of Operational Research, Elsevier, vol. 270(1), pages 314-327.
    • Handle: RePEc:eee:ejores:v:270:y:2018:i:1:p:314-327
    DOI: 10.1016/j.ejor.2018.03.024
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    References listed on IDEAS

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    1. Siraj, Sajid & Mikhailov, Ludmil & Keane, John A., 2015. "Contribution of individual judgments toward inconsistency in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 242(2), pages 557-567.
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