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Compositional models for credal sets
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SYSNO ASEP 0483288 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Compositional models for credal sets Author(s) Vejnarová, Jiřina (UTIA-B) RID Number of authors 1 Source Title International Journal of Approximate Reasoning. - : Elsevier - ISSN 0888-613X
Roč. 90, č. 1 (2017), s. 359-373Number of pages 15 s. Publication form Print - P Language eng - English Country US - United States Keywords Imprecise probabilities ; Credal sets ; Multidimensional models ; Conditional independence Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-12010S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000413380900021 EID SCOPUS 85028453587 DOI 10.1016/j.ijar.2017.08.007 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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