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A binomial simulation approach to more consistent AHP matrices

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  • Phillip W. Witt
  • Mohsen Hamidi

Abstract

Different methods have been proposed for simulating analytical hierarchy process (AHP) matrices. In this paper, we develop a new method assuming responses for AHP matrices follow binomial distributions. In this paper, we exhibit the method with a small data sample which we use to estimate the binomial parameters by transformation, and then backwards solving the logit Newton-Raphson updating algorithm. A parametric bootstrap sample is then used to compare the simulated results against the actual results from the data. In addition to the new simulation method we discover some interesting findings regarding AHP matrix consistency.

Suggested Citation

  • Phillip W. Witt & Mohsen Hamidi, 2025. "A binomial simulation approach to more consistent AHP matrices," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 17(4), pages 343-356.
    • Handle: RePEc:ids:ijidsc:v:17:y:2025:i:4:p:343-356
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