Statisticam approaches for consistency index in analytical hierarchy process

This study presents a method for estimating a new Random Index (RI) value to determine the acceptance or rejection of matrices in the Analytic Hierarchy Process, using the Saaty scale. The proposed RI values are compared to the matrix consistency levels of other researchers who conducted experiments with similar numbers and matrix orders. In the case of 1000 experiments, our values showed a slight improvement compared to those of Golden and Wang. For the 2500-experiment case, our values were similar to those reported by Lane and Verdine. Lastly, in the 100,000-experiment case, our values exhibited a slight improvement compared to those obtained by Alonso and Lamata. We welcome further suggestions and encourage future research in this area.