Introduction -- Multiplicative pairwise comparisons -- Inconsistency indices and their properties -- Inconsistency reduction -- Alternative approaches to the evaluation of inconsistency in pairwise comparisons -- Inconsistency of incomplete pairwise comparisons matrices -- Ordinal inconsistency.

The pairwise comparisons method is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the method is based on solving an eigenvalue problem for the pairwise comparisons matrix. In such cases the ranking...