Non-Classical Probabilities for Decision Making in Situations of Uncertainty

0537951 - FLÚ 2021 RIV PL eng J - Journal Article
Klein, D. - Majer, Ondrej - Rad, S. R.
Non-Classical Probabilities for Decision Making in Situations of Uncertainty.
Roczniki Filozoficzne. Roč. 68, č. 4 (2020), s. 315-343. ISSN 0035-7685. E-ISSN 2450-002X
R&D Projects: GA ČR(CZ) GA16-15621S
Institutional support: RVO:67985955
Keywords : reasoning under uncertinty * non-classical probability * Dempster-Shafer theory * Belnap-Dunn logic
OECD category: Philosophy, History and Philosophy of science and technology
Method of publishing: Open access
https://doi.org/10.18290/rf20684-15

Analyzing situations where information is partial, incomplete or contradictory has created a demand for quantitative belief measures that are weaker than classic probability theory. In this paper, we compare two frameworks that have been proposed for this task, Dempster-Shafer theory and non-standard probability theory based on Belnap-Dunn logic. We show the two frameworks to assume orthogonal perspectives on informational shortcomings, but also provide a partial correspondence result. Lastly, we also compare various dynamical rules of the two frameworks, all seen as generalizations of classic Bayes’ conditiong.
Permanent Link: http://hdl.handle.net/11104/0315776