@misc{10481/99544, year = {2023}, month = {8}, url = {https://hdl.handle.net/10481/99544}, abstract = {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.}, organization = {The Spanish Ministry of Education and Science PID2019-106758GB-C31}, keywords = {Probability intervals}, keywords = {Imprecise Probability}, keywords = {coherence}, keywords = {Natural Extension}, keywords = {Order-2 capacity}, title = {Imprecise probabilistic models based on hierarchical intervals}, doi = {https://doi.org/10.1016/j.ins.2023.118995}, author = {Moral Callejón, Serafín and Cano Utrera, Andrés and Gómez Olmedo, Manuel}, }