title: |
An axiomatic definition of divergence for intuitionistic fuzzy sets |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 547 - 553 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Ignacio Montes, Vladimir Janis, Susana Montes |
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publication date: |
July 2011 |
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keywords: |
Intuitionistic fuzzy set, divergence
measure, dissimilarity measure, distance. |
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abstract: |
An axiomatic definition of divergence measure for
intuitionistic fuzzy sets (IFSs, for short) is presented
in this work, as a particular case of dissimilarity
between IFSs. As the concept of divergence measure is more restrictive, it has particular properties
which are studied. Furthermore, the relationships
among IF-divergences, dissimilarities and distances
are studied. We also provide some methods for
building divergence measure for IFSs. They will allow us to conclude this work with a classification of
the usual functions used in the literature for measuring the difference between intuitionistic fuzzy sets in
two classes: which are divergence measures between
IFSs and which are not. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |