0506961 20240103222331.020190729235959.9 84889092044 000329013000002 10.1016/j.ijar.2013.02.002 17 s. P cav_un_epca*02567740888-613X551 (2014)277-293Elsevier Valuation-based systems Probability theory Possibility theory Dempster-Shafer belief function theory Spohn's epistemic belief theory Conditionals cav_un_auth*0101118 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 50 Jiroušek Radim UTIA-B K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0275452 50 Shenoy P. P. US http://library.utia.cas.cz/separaty/2019/MTR/jirousek-0506961.pdf cav_un_auth*0377669 GAP403/12/2175 GA ČR CZ Compositional models were initially described for discrete probability theory, and later extended for possibility theory and for belief functions in Dempster-Shafer (D-S) theory of evidence. Valuation-based systems (VBS) can be considered as a generic uncertainty calculus that has many uncertainty calculi, such as probability theory, a version of possibility theory where combination is the product t-norm, Spohn's epistemic belief theory, and D-S belief function theory, as special cases. In this paper, we describe compositional models in the general framework of VBS using the semantics of no-double counting, which is central to the VBS framework. We show that conditioning can be expressed using the composition operator. WOS BB 10000 10100 10103 2020 2 RVO:67985556 http://hdl.handle.net/11104/0298087 S COMPUTERSCIENCEARTIFICIALINTELLIGENCE 0.683 1.460 Q1 58.39 81.707 Q2 Q1 2014 84889092044 SCOPUS PUBMED 000329013000002 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 55 č. 1 2014 277 293 Elsevier