Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

An axiomatic definition of divergence for intuitionistic fuzzy sets

Authors
Ignacio Montes, Vladimir Janis, Susana Montes
Corresponding Author
Ignacio Montes
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.38How to use a DOI?
Keywords
Intuitionistic fuzzy set, divergence measure, dissimilarity measure, distance.
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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Proceedings
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.38How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Ignacio Montes
AU  - Vladimir Janis
AU  - Susana Montes
PY  - 2011/08
DA  - 2011/08
TI  - An axiomatic definition of divergence for intuitionistic fuzzy sets
PB  - Atlantis Press
SP  - 547
EP  - 553
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.38
DO  - https://doi.org/10.2991/eusflat.2011.38
ID  - Montes2011/08
ER  -