Study for Contradictory Pairwise Comparison Matrices.

The purpose of this paper is to point out the questionable results of a published paper with respect to the Analytical Hierarchy Process. They created contradictory matrices such that there are pairwise comparison matrices that pass the consistency test but are contradictory. The main purpose of this paper is to point out that their six cases for contradiction can be simplified as two cases. Moreover, we show that their contradictory phenomenon is a local property that will not influence the result of the consistent test. [ABSTRACT FROM AUTHOR]