20.500.12556/RUL-138898 Normal cones corresponding to credal sets of lower probabilities 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. normal cone credal set convex polyhedron extreme point imprecise probability coherent lower probability verjetnosti matematični modeli true false true Angleški jezik Slovenski jezik Članek v reviji 2022-08-24 14:26:00 2022-08-24 14:26:03 2022-09-15 04:17:21 0000-00-00 00:00:00 2022 0 0 Str. 35-54 Vol. 150 Nov. 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.2 0888-613X 10.1016/j.ijar.2022.08.006 119057667 Skulj_IJAR.pdf Skulj_IJAR.pdf 1 E23D81FB0E7BA0F5DA3B515973338AD2 e0aaa1eaa29430fbb75a01dbec102c4b173835a29e8276dbe57a96e9cc8b8e8b 1d48d3a3-23a8-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=159390 https://www.sciencedirect.com/science/article/pii/S0888613X22001189 0 a1fb8880-2e9d-11ed-92af-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=160435 Fakulteta za družbene vede 0 0 0