Super Pairwise Comparison Matrix in the Dominant AHP

We have proposed an SPCM (Super Pairwise Comparison Matrix) to express all pairwise comparisons in the evaluation process of D-AHP (the dominant analytic hierarchy process) or the multiple dominant AHP as a single pairwise comparison matrix. This paper shows that the evaluation value resulting from the application of LLSM (the logarithmic least-squares method) to an SPCM matches the evaluation value determined by the application of D-AHP to the evaluation values obtained from each pairwise comparison matrix by using the geometric mean.