Possibility transformation of the sum of two symmetric unimodal independent/comonotone random variables
Available Online August 2013.
- https://doi.org/10.2991/eusflat.2013.93How to use a DOI?
- Possibility theory uncertainty propagation maximum specificity principle independence comonotonicity
- The paper extends author’s previous works on a proba-bility/possibility transformation based on a maximum specificity principle to the case of the sum of two iden-tical unimodal symmetric random variables. This trans-formation requires the knowledge of the dependency relationship between the two added variables. In fact, the comonotone case is closely related to the Zadeh’s extension principle. It often leads to the worst case in terms of specificity of the corresponding possibility dis-tribution, but it may arise that the independent case is worse than the comonotone case, e.g. for symmetric Pa-reto probability distributions. When no knowledge about the dependence is available, a least specific pos-sibility distribution can be obtained from Fréchet bounds.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Gilles Mauris PY - 2013/08 DA - 2013/08 TI - Possibility transformation of the sum of two symmetric unimodal independent/comonotone random variables BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 653 EP - 659 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.93 DO - https://doi.org/10.2991/eusflat.2013.93 ID - Mauris2013/08 ER -