This is a survey paper about an algebraic approach to imprecise probabilities. In the first part of it, we outline the work by Walley on imprecise probabilities and the more algebraic approach of Fedel et al. Then, in the second part we will present some work in progress about a general treatment of upper and lower probabilities over many-valued events and of upper and lower previsions of gambles, by means of Universal Algebra.
Montagna, F. (2011). An algebraic treatment of imprecise probabilities. DEMONSTRATIO MATHEMATICA, 44(3), 497-509 [10.1515/dema-2013-0327].
An algebraic treatment of imprecise probabilities
MONTAGNA F.
2011-01-01
Abstract
This is a survey paper about an algebraic approach to imprecise probabilities. In the first part of it, we outline the work by Walley on imprecise probabilities and the more algebraic approach of Fedel et al. Then, in the second part we will present some work in progress about a general treatment of upper and lower probabilities over many-valued events and of upper and lower previsions of gambles, by means of Universal Algebra.
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https://hdl.handle.net/11365/7141
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