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Compositional models for credal sets
- 1.0483288 - ÚTIA 2018 RIV US eng J - Journal Article
Vejnarová, Jiřina
Compositional models for credal sets.
International Journal of Approximate Reasoning. Roč. 90, č. 1 (2017), s. 359-373. ISSN 0888-613X. E-ISSN 1873-4731
R&D Projects: GA ČR(CZ) GA16-12010S
Institutional support: RVO:67985556
Keywords : Imprecise probabilities * Credal sets * Multidimensional models * Conditional independence
OECD category: Pure mathematics
Impact factor: 1.766, year: 2017
http://library.utia.cas.cz/separaty/2017/MTR/vejnarova-0483288.pdf
We present the composition operator, already known from probability, possibility, evidence and valuation-based systems theories, for credal sets. We prove that the proposed definition preserves all the properties enabling us to design compositional models in a way analogous to those in the above-mentioned theories. A special kind of compositional models, the so-called perfect sequences of credal sets, is studied in more detail and (among others) its relationship to perfect sequences of probability distributions is revealed. The theoretical results are illustrated by numerous simple examples.
Permanent Link: http://hdl.handle.net/11104/0278696
Number of the records: 1