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Hellinger distance for fuzzy measures
IIIA-CSIC, Bellaterra, Catalonia, Spain.
Toho Gakuen, Kunitachi, Tokyo, Japan.
ECSC Mieres, Spain.
Stockholm University, Faculty of Social Sciences, Department of Statistics.
2013 (English)In: Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13), Paris: Atlantis Press , 2013, 541-546 p.Conference paper, Published paper (Refereed)
Abstract [en]

Hellinger distance is a distance between two additive measures defined in terms of the Radon-Nikodym derivative of these two measures. This measure proposed in 1909 has been used in a large variety of contexts. In this paper we define an analogous measure for fuzzy measures. We discuss them for distorted probabilities and give two examples.

Place, publisher, year, edition, pages
Paris: Atlantis Press , 2013. 541-546 p.
Series
Advances in Intelligent Systems Research (AISR), ISSN 1951-6851 ; 32
Keyword [en]
Hellinger distance, fuzzy measures, Radon-Nikodym derivative, Choquet integral, capacities
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-96540DOI: 10.2991/eusflat.2013.82ISBN: 978-90786-77-78-9 (print)OAI: oai:DiVA.org:su-96540DiVA: diva2:666480
Conference
8th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2013), Milan, Italy, September 11-13, 2013
Available from: 2013-11-22 Created: 2013-11-22 Last updated: 2014-02-20Bibliographically approved

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