A note on the article 'Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean' [Fuzzy Sets and Systems 161 (2010) 1604-1613]

摘要

In the paper "Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean" [Fuzzy Sets and Systems 161 (2010) 1604-1613], the authors presented an index of inconsistency for pairwise comparison matrices with fuzzy entries. This short note shows that the Chebyshev distance may fail to fairly capture inconsistency and that therefore, it should be conveniently replaced by some other metric.