Imprecise probabilistic models based on hierarchical intervals
Identificadores
URI: https://hdl.handle.net/10481/99544Metadatos
Mostrar el registro completo del ítemMateria
Probability intervals Imprecise Probability coherence Natural Extension Order-2 capacity
Fecha
2023-08Referencia bibliográfica
Information Sciences, Volume 638, August 2023, 118995
Patrocinador
The Spanish Ministry of Education and Science PID2019-106758GB-C31Resumen
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.