Abstract
Recently, Triantaphyllou has reported that, when evaluating binomial relation by the original analytic hierarchy process (AHP), the ranking is different from that obtained when evaluating all alternative simultaneously, even if the preference transitivity holds and if all pairwise comparison matrices are completely consistent. In this paper, we show that the aspiration level AHP, one of modifications of AHP proposed by Tamura et al., does not cause such irrational ranking for completely consistent case. We also estimate how often irrational ranking occurs in practical case by experimental analysis.
