Super Pairwise Comparison Matrix in the Multiple Dominant AHP
We have proposed a super pairwise comparison matrix (SPCM) to express all pairwise comparisons in the evaluation process of the dominant analytic hierarchy process (AHP) or the multiple dominant AHP (MDAHP) as a single pairwise comparison matrix. This paper shows, by means of a numerical counterexample, that in MDAHP an evaluation value resulting from the application of the logarithmic least-squares method (LLSM) to a SPCM does not necessarily coincide with that of the evaluation value resulting from the application of the geometric mean multiple dominant AHP (GMMDAHP) to the evaluation value obtained from each pairwise comparison matrix by using the geometric mean method.
Keywordssuper pairwise comparison matrix dominant AHP the multiple dominant AHP logarithmic least square method the geometric mean multiple dominant AHP
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