0483288 20240103215201.020171214235959.9 85028453587 000413380900021 10.1016/j.ijar.2017.08.007 15 s. P cav_un_epca*02567740888-613X901 (2017)359-373Elsevier Imprecise probabilities Credal sets Multidimensional models Conditional independence cav_un_auth*0101223 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Vejnarová Jiřina UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/MTR/vejnarova-0483288.pdf cav_un_auth*0332303 GA16-12010S GA ČR CZ 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. BA 10000 10100 10101 2018 1 RVO:67985556 http://hdl.handle.net/11104/0278696 S 3+4 Article Computer Science Artificial Intelligence 3+4 Article Computer Science Artificial Intelligence 3+4 Article Computer Science Artificial Intelligence COMPUTERSCIENCE.ARTIFICIALINTELLIGENCE 2.504 0.687 7.8 0.0042 0.658 3384 0.866 1.343 182 Q2 44.33 51.1 Q3 Q2 0.9 Q2 51.136 2017 85028453587 SCOPUS PUBMED 000413380900021 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 90 č. 1 2017 359 373 Elsevier