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The Stability of AHP Rankings in the Presence of Stochastic Paired Comparisons

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Trends in Multicriteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 465))

Abstract

This paper develops a methodology for analyzing the stability of AHP rankings for decision problems in which the paired comparison judgments are stochastic. Multivariate statistical techniques are used to obtain both point estimates and confidence intervals of rank reversal probabilities. We show how simulation experiments can be used to assess the stability of the preference rankings under uncertainty. High likelihoods of rank reversal imply that the AHP rankings are unstable, and that additional analysis of the decision problem may be in order.

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Stam, A., Silva, A.P.D. (1998). The Stability of AHP Rankings in the Presence of Stochastic Paired Comparisons. In: Stewart, T.J., van den Honert, R.C. (eds) Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45772-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-45772-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64741-6

  • Online ISBN: 978-3-642-45772-2

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