Qualitative integrals and desintegrals as lower and upper possibilistic expectations
Didier Dubois, Henri Prade, Agnès Rico
Available Online August 2013.
- 10.2991/eusflat.2013.51How to use a DOI?
- fuzzy measure Sugeno integral possibility theory
Any capacity (i.e., an increasing set function) has been proved to be a lower possibility measure and an upper necessity measure. Similarly, it is shown that any anti-capacity (i.e., a decreasing set function) can be viewed both as an upper guaranteed possibility measure and as a lower weak necessity measure. These results are the basis for establishing that qualitative integrals (including Sugeno integrals) are lower and /or upper possibilistic expectations wrt a possibility measure, while qualitative desintegrals are upper or lower possibilistic expectations wrt a guaranteed possibility measure. The results are presented in a qualitative finite setting, the one of multiple criteria aggregation.
- © 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 - Didier Dubois AU - Henri Prade AU - Agnès Rico PY - 2013/08 DA - 2013/08 TI - Qualitative integrals and desintegrals as lower and upper possibilistic expectations BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 358 EP - 365 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.51 DO - 10.2991/eusflat.2013.51 ID - Dubois2013/08 ER -