  This study presents an abelian group approach to analyzing inconsistency in
pairwise comparisons. However, it wrongly assumes that an inconsistency
indicator can take values in any abelian linearly ordered group. The followup
publication (On normalization of inconsistency indicators in pairwise
comparisons, a collaboration which includes two of three authors of this
publication) shows that any inconsistency indicator should be normalized for a
number of practical and theoretical reasons. The publication below fails to
demonstrate even one example of a non trivial group (other than a group
consisting of real numbers. However, some obtained results (under erroneous
assumptions) are still valid.
