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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]

Matteo Brunelli, 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]. Fuzzy Sets and Systems 176(1), 76–78, 2011.

Abstract:

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.

BibTeX entry:

@ARTICLE{jBr11a,
  title = {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]},
  author = {Brunelli, Matteo},
  journal = {Fuzzy Sets and Systems},
  volume = {176},
  number = {1},
  pages = {76–78},
  year = {2011},
  keywords = {Pairwise comparison matrices; Preferences; Inconsistency},
}

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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