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Inconsistency indices for pairwise comparison matrices: a numerical study

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  • Matteo Brunelli
  • Luisa Canal
  • Michele Fedrizzi

Abstract

Evaluating the level of inconsistency of pairwise comparisons is often a crucial step in multi criteria decision analysis. Several inconsistency indices have been proposed in the literature to estimate the deviation of expert’s judgments from a situation of full consistency. This paper surveys and analyzes ten indices from the numerical point of view. Specifically, we investigate degrees of agreement between them to check how similar they are. Results show a wide range of behaviors, ranging from very strong to very weak degrees of agreement. Copyright Springer Science+Business Media New York 2013

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  • Matteo Brunelli & Luisa Canal & Michele Fedrizzi, 2013. "Inconsistency indices for pairwise comparison matrices: a numerical study," Annals of Operations Research, Springer, vol. 211(1), pages 493-509, December.
    • Handle: RePEc:spr:annopr:v:211:y:2013:i:1:p:493-509:10.1007/s10479-013-1329-0
    DOI: 10.1007/s10479-013-1329-0
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    References listed on IDEAS

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    4. Marcin Anholcer & Volodymyr Babiy & Sándor Bozóki & Waldemar Koczkodaj, 2011. "A simplified implementation of the least squares solution for pairwise comparisons matrices," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(4), pages 439-444, December.
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