An axiomatic definition of divergence for intuitionistic fuzzy sets

DOI

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 547
EP  - 553
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.38
DO  - 10.2991/eusflat.2011.38
ID  - Montes2011/08
ER  -