Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

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Hellinger distance for fuzzy measures

Authors
Vicenc Torra, Yasuo Narukawa, Michio Sugeno, Michael Carlson
Corresponding Author
Vicenc Torra
Available Online August 2013.
DOI
10.2991/eusflat.2013.82How to use a DOI?
Keywords
Hellinger distance fuzzy measures Radon-Nikodym derivative Choquet integral capacities
Abstract

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 an example.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
10.2991/eusflat.2013.82How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Vicenc Torra
AU  - Yasuo Narukawa
AU  - Michio Sugeno
AU  - Michael Carlson
PY  - 2013/08
DA  - 2013/08
TI  - Hellinger distance for fuzzy measures
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 581
EP  - 586
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.82
DO  - 10.2991/eusflat.2013.82
ID  - Torra2013/08
ER  -