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http://dx.doi.org/10.5351/KJAS.2012.25.3.531

A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP  

Jeong, Hyeong-Chul (Department of Applied Statistics, University of Suwon)
Lee, Jong-Chan (Department of Statistics, Korea University)
Jhun, Myoung-Shic (Department of Statistics, Korea University)
Publication Information
The Korean Journal of Applied Statistics / v.25, no.3, 2012 , pp. 531-541 More about this Journal
Abstract
In this study, we consider various methods to estimate the weights of a pairwise comparison matrix in the Analytic Hierarchy Process widely applied in various decision-making fields. This paper uses a data dependent simulation to evaluate the statistical accuracy, minimum violation and minimum norm of the obtaining weight methods from a reciprocal symmetric matrix. No method dominates others in all criteria. Least squares methods perform best in point of mean squared errors; however, the eigenvectors method has an advantage in the minimum norm.
Keywords
AHP; Pairwise comparison matrix; Eigenvector method; Distance least squares; minimum norm;
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