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

Hellinger distance for fuzzy measures

Authors
Vicenc Torra, Yasuo Narukawa, Michio Sugeno, Michael Carlson
Corresponding Author
Vicenc Torra
Available Online August 2013.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.82How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.82
DO  - https://doi.org/10.2991/eusflat.2013.82
ID  - Torra2013/08
ER  -