Journal
FUZZY SETS AND SYSTEMS
Volume 158, Issue 22, Pages 2523-2525Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2007.04.024
Keywords
Euclidean distance; intuitionistic fuzzy set
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In this note, we point out some errors to Lemma 4 in Grzegorzewski [Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric, Fuzzy Sets and Systems 148, 319-328] by counterexamples. We find that the inequalities of Euclidean distances and normalized Euclidean distances for intuitionistic fuzzy sets are not valid. (C) 2007 Elsevier B.V. All rights reserved.
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