Compositional models for credal sets

0483288 - ÚTIA 2018 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA16-12010S
Institucionální podpora: RVO:67985556
Klíčová slova: Imprecise probabilities * Credal sets * Multidimensional models * Conditional independence
Obor OECD: Pure mathematics
Impakt faktor: 1.766, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0278696