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Journal Article

Compositional models in valuation-based systems

Jiroušek Radim, Shenoy P. P.

: International Journal of Approximate Reasoning vol.55, 1 (2014), p. 277-293

: GAP403/12/2175, GA ČR

: Valuation-based systems, Probability theory, Possibility theory, Dempster-Shafer belief function theory, Spohn's epistemic belief theory, Conditionals

: 10.1016/j.ijar.2013.02.002

: http://library.utia.cas.cz/separaty/2019/MTR/jirousek-0506961.pdf

(eng): 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.

: BB

: 10103

07.01.2019 - 08:39