06024189

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06024189 Brunelli, Matteo A note on the article ``Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean''. Fuzzy Sets Syst. 176, No. 1, 76-78 (2011). 2011 Elsevier Science B.V. (North-Holland), Amsterdam EN pairwise comparison matrices preferences inconsistency

doi:10.1016/j.fss.2011.03.013

Summary: In the paper ``Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean" [{\it J. Ram{\'\i}k} and {\it P. Korviny}, Fuzzy Sets Syst. 161, No. 11, 1604--1613 (2010; Zbl 1186.90145)], 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.