Kybernetika 34 no. 1, 3-15, 1998

Totally coherent set-valued probability assessments

Angelo Gilio and Salvatore Ingrassia


We introduce the concept of total coherence of a set-valued probability assessment on a family of conditional events. In particular we give sufficient and necessary conditions of total coherence in the case of interval-valued probability assessments. Some relevant cases in which the set-valued probability assessment is represented by the unitary hypercube are also considered.