Imprecise probabilistic models based on hierarchical intervals Moral Callejón, Serafín Cano Utrera, Andrés Gómez Olmedo, Manuel Probability intervals Imprecise Probability coherence Natural Extension Order-2 capacity This paper proposes a generalization of the imprecise probability model given by probability intervals on singleton sets. This enables us not only to represent probability intervals in a hierarchy of sets with a tree structure but also to represent other models such as possibility measures and generalized p-boxes. The paper also shows how the resulting model is always an order-2 capacity and that the basic operations of checking coherence, computing the natural extension or conditioning can be performed in an extremely efficient way. 2025-01-17T13:34:43Z 2025-01-17T13:34:43Z 2023-08 journal article Information Sciences, Volume 638, August 2023, 118995 https://hdl.handle.net/10481/99544 https://doi.org/10.1016/j.ins.2023.118995 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional