  We examine satisfaction of the condition of order preservation (COP) with
respect to different levels of inconsistency for randomly generated
multiplicative pairwise comparison matrices (MPCMs) of the order n =
{3,4,...,9}, where a priority vector is derived both by the eigenvalue method
(EV) and the geometric mean (GM) method. Our results suggest the GM method and
the EV method preserve the COP condition almost identically, both for the less
inconsistent matrices (with Saaty's consistency index CI <0.10), and the more
inconsistent matrices (with CI >= 0.10). Further, we find that the frequency of
the COP violations grows (almost linearly) with increasing inconsistency of
MPCMs measured by Koczkodaj's inconsistency index and Saaty's consistency index
respectively, and we provide graphs to illustrate these relationships for MPCMs
of the order n ={4, 7, 9}.
