FSS, J. Goričar Central Social Sciences Library, Ljubljana (ODKLJ)
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Normal cones corresponding to credal sets of lower probabilitiesŠkulj, DamjanCredal 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.Source: International journal of approximate reasoning. - ISSN 0888-613X (Vol. 150, Nov. 2022, str. 35-54)Type of material - article, component partPublish date - 2022Language - englishCOBISS.SI-ID - 119057667
Author
Škulj, Damjan
Topics
Verjetnosti |
Matematični modeli |
normal cone |
credal set |
convex polyhedron |
extreme point |
imprecise probability |
coherent lower probability
Author | Škulj, Damjan |
Title | Normal cones corresponding to credal sets of lower probabilities |
Publication date | 2022-08-23 |
COBISS.SI-ID | 119057667 |
Publication version in repository | Publisher's version |
Publication licence | Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International |
Embargo | Immediate publication for public |
Project(s) from which the publication was funded
Title | Acronym | Project ID | Funder |
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Družboslovna metodologija, statistika in informatika | P5-0168-2022 |
Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije |
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Link |
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https://repozitorij.uni-lj.si/IzpisGradiva.php?id=138898 |
source: International journal of approximate reasoning. - ISSN 0888-613X (Vol. 150, Nov. 2022, str. 35-54)
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Škulj, Damjan | 19505 |
Source: Personal bibliographies
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