An axiomatic definition of divergence for intuitionistic fuzzy sets

Janiš, Vladimír, 1963-

An axiomatic definition of divergence for intuitionistic fuzzy sets / Vladimír Janiš. -- 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

In EUSFLAT - LSA 2011 : advances in intelligent systems research : proceedings of 7th Conference, 18 - 22 July 2011, Aix-Les-Bains, France. -- Berlin - Heidelberg : Springer Verlag, 2011. -- ISBN ISBN 978-90-78677-00-0. -- ISSN 1951-6851. -- S. 547-553