Hellinger distance for fuzzy measures
- https://doi.org/10.2991/eusflat.2013.82How to use a DOI?
- Hellinger distance fuzzy measures Radon-Nikodym derivative Choquet integral capacities
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.
- © 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
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 - https://doi.org/10.2991/eusflat.2013.82 ID - Torra2013/08 ER -