An axiomatic definition of divergence for intuitionistic fuzzy sets
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Atlantis Press
Resumen:
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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7th Conference of the European Society for Fuzzy Logic and Technology. Advances in Intelligent Systems Research. Aix-les-Bains, France, July 18-22, 2011
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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
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