On the Closure of Aggregation Rules for Imprecise Probabilities
Abstract
We consider the problem of aggregating a number of imprecise probability models into a joint one, and compare four aggregation rules: conjunction, disjunction, mixture and Pareto. We investigate for which particular cases of imprecise probability models these operators are closed, meaning that the output belongs to the same family as the inputs. Specifically, we analyse this problem for comparative probability models, $2$-monotone capacities, probability intervals, belief functions, p-boxes and minitive measures.
Cite
Text
Miranda and Montes. "On the Closure of Aggregation Rules for Imprecise Probabilities." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.Markdown
[Miranda and Montes. "On the Closure of Aggregation Rules for Imprecise Probabilities." Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications, 2025.](https://mlanthology.org/isipta/2025/miranda2025isipta-closure/)BibTeX
@inproceedings{miranda2025isipta-closure,
title = {{On the Closure of Aggregation Rules for Imprecise Probabilities}},
author = {Miranda, Enrique and Montes, Ignacio},
booktitle = {Proceedings of the Fourteenth International Symposium on Imprecise Probabilities: Theories and Applications},
year = {2025},
pages = {196-206},
volume = {290},
url = {https://mlanthology.org/isipta/2025/miranda2025isipta-closure/}
}