Combination of Upper and Lower Probabilities
Abstract
In this paper, we consider several types of information and methods of combination associated with incomplete probabilistic systems. We discriminate between 'a priori' and evidential information. The former one is a description of the whole population, the latest is a restriction based on observations for a particular case. Then, we propose different combination methods for each one of them. We also consider conditioning as the heterogeneous combination of 'a priori' and evidential information. The evidential information is represented as a convex set of likelihood functions. These will have an associated possibility distribution with behavior according to classical Possibility Theory.
Cite
@article{arxiv.1303.5710,
title = {Combination of Upper and Lower Probabilities},
author = {Jose E. Cano and Serafin Moral and Juan F. Verdegay-Lopez},
journal= {arXiv preprint arXiv:1303.5710},
year = {2013}
}
Comments
Appears in Proceedings of the Seventh Conference on Uncertainty in Artificial Intelligence (UAI1991)