Compositional models in valuation-based systems

0506961 - ÚTIA 2020 NL eng J - Journal Article
Jiroušek, Radim - Shenoy, P. P.
Compositional models in valuation-based systems.
International Journal of Approximate Reasoning. Roč. 55, č. 1 (2014), s. 277-293. ISSN 0888-613X. E-ISSN 1873-4731
Grant - others:GA ČR(CZ) GAP403/12/2175
Institutional support: RVO:67985556
Keywords : Valuation-based systems * Probability theory * Possibility theory * Dempster-Shafer belief function theory * Spohn's epistemic belief theory * Conditionals
OECD category: Statistics and probability
Impact factor: 2.451, year: 2014
http://library.utia.cas.cz/separaty/2019/MTR/jirousek-0506961.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0298087