A note on distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric

被引:87
作者
Chen, Ting-Yu [1 ]
机构
[1] Chang Gung Univ, Coll Management, Dept Business Adm, Tao Yuan 333, Taiwan
关键词
Euclidean distance; intuitionistic fuzzy set;
D O I
10.1016/j.fss.2007.04.024
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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.
引用
收藏
页码:2523 / 2525
页数:3
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