Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 39, Issue 10, Pages 8665-8670Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2012.01.199
Keywords
Intuitionistic fuzzy sets; Hamming distance; Euclidean distance; Hausdorff metric
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For intuitionistic fuzzy sets, it is argued that three dimensional distance functions are not necessary because two dimensional distance functions already provide a simple and concise expression of the distance between two intuitionistic fuzzy sets. However, we show that a three dimensional interpretation of intuitionistic fuzzy sets could give different comparison results to the ones obtained with their two dimensional counterparts. In addition to the existing distances, we define a three dimensional Hausdorff distance and compare its consistency with its two dimensional counterpart, which shows the usefulness of the three dimensional functions to model and provide the expression of the distance between two intuitionistic fuzzy sets. (c) 2012 Elsevier Ltd. All rights reserved.
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