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An axiomatic definition of divergence for intuitionistic fuzzy sets

Author:
Montes Gutiérrez, IgnacioUniovi authority; Janiš, Vladimir; Montes Rodríguez, SusanaUniovi authority
Publication date:
2011
Editorial:

Atlantis Press

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

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

Description:

7th Conference of the European Society for Fuzzy Logic and Technology. Advances in Intelligent Systems Research. Aix-les-Bains, France, July 18-22, 2011

URI:
http://hdl.handle.net/10651/39347
ISBN:
978-90-78677-00-0
Patrocinado por:

The research in this paper is partly supported by the Internationalization Plan 2010 of the University of Oviedo, the Science and Education Ministry FPU grant AP2009-1034, by the Agency of the Slovak Ministry of Education for the Structural Funds of the EU, under project ITMS:26220120007 and the Spanish Ministry of Science and Innovation grant MTM2010-17844

Id. Proyecto:

AP2009-1034

ITMS:26220120007

MTM2010-17844

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