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An axiomatic definition of divergence for intuitionistic fuzzy sets
Title An axiomatic definition of divergence for intuitionistic fuzzy sets Author info Vladimír Janiš Author Janiš Vladimír 1963- (100%) UMBFP10 - Katedra matematiky
Source document EUSFLAT - LSA 2011 : advances in intelligent systems research : proceedings of 7th Conference, 18 - 22 July 2011, Aix-Les-Bains, France. S. 547-553. - Berlin - Heidelberg : Springer Verlag, 2011 ; EUSFLAT - LSA 2011 7th Conference Keywords intuicionistické fuzzy množiny divergencia miera miera podobnosti vzdialenosť intuitionistic fuzzy sets divergence measures Language English Country France Annotation 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 Public work category AFC No. of Archival Copy 20293 Repercussion category JATI, A. - SINGH, G. - KOLEY, S. - KONAR, A. - RAY, A. K. - CHAKRABORTY, C. A novel segmentation approach for noisy medical images using Intuitionistic fuzzy divergence with neighbourhood-based membership function. In Journal of microscopy. ISSN 0022-2720, 2015, vol. 257, no. 3, pp. 187-200.
JATI, Arindam - SINGH, Garima - MUKHERJEE, Rashmi - GHOSH, Madhumala - KONAR, Amit - CHAKRABORTY, Chandan - NAGAR, Atulya K. Automatic leukocyte nucleus segmentation by intuitionistic fuzzy divergence based thresholding. In Micron. ISSN 0968-4328, 2014, vol. 58, pp. 55-65.
SRIVASTAVA, A. - MAHESHWARI, S. Decision making in medical investigations using new divergence measures for intuitionistic fuzzy sets. In Iranian journal of fuzzy systems. ISSN 1735-0654, 2016, vol. 13, no. 1, pp. 25-44.
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