VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Normal cones corresponding to credal sets of lower probabilities
    Škulj, Damjan
    Credal sets are one of the most important models for describing probabilistic uncertainty. They usually arise as convex sets of probabilistic models compatible with judgments provided in terms of ... coherent lower previsions or more specific models such as coherent lower probabilities or probability intervals. In finite spaces, credal sets usually take the form of convex polytopes. Many properties of convex polytopes can be derived from their normal cones, which form polyhedral complexes called normal fans. We analyze the properties of normal cones corresponding to credal sets of coherent lower probabilities. For two important classes of coherent lower probabilities, 2-monotone lower probabilities and probability intervals, we provide a detailed description of the normal fan structure. These structures are related to the structure of the extreme points of the credal sets. To arrive at our main results, we provide some general results on triangulated normal fans of convex polyhedra and their adjacency structure.
    Vir: International journal of approximate reasoning. - ISSN 0888-613X (Vol. 150, Nov. 2022, str. 35-54)
    Vrsta gradiva - članek, sestavni del
    Leto - 2022
    Jezik - angleški
    COBISS.SI-ID - 119057667

    Povezava(-e):

    Repozitorij Univerze v Ljubljani – RUL
    DOI

Vnos na polico