A binomial simulation approach to more consistent AHP matrices

Phillip W. Witt and Mohsen Hamidi

International Journal of Information and Decision Sciences, 2025, vol. 17, issue 4, 343-356

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.

Keywords: analytic hierarchy process; AHP; simulation; decision-making; group decision-making; decision science; managerial decision-making; consistency; Newton-Raphson; binomial. (search for similar items in EconPapers)
Date: 2025
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