A survey of the theory of coherent lower previsions
E Miranda - International Journal of Approximate Reasoning, 2008 - Elsevier
This paper presents a summary of Peter Walley's theory of coherent lower previsions. We
introduce three representations of coherent assessments: coherent lower and upper …
introduce three representations of coherent assessments: coherent lower and upper …
[图书][B] Game-theoretic foundations for probability and finance
Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk's
Probability and Finance, published in 2001, showed that perfect-information games can be …
Probability and Finance, published in 2001, showed that perfect-information games can be …
Towards a unified theory of imprecise probability
P Walley - International Journal of Approximate Reasoning, 2000 - Elsevier
Coherent upper and lower probabilities, Choquet capacities of order 2, belief functions and
possibility measures are amongst the most popular mathematical models for uncertainty and …
possibility measures are amongst the most popular mathematical models for uncertainty and …
Notes on conditional previsions
PM Williams - International Journal of Approximate Reasoning, 2007 - Elsevier
The personalist conception of probability is often explicated in terms of betting rates
acceptable to an individual. A common approach, that of de Finetti for example, assumes …
acceptable to an individual. A common approach, that of de Finetti for example, assumes …
Constructive probability
G Shafer - Synthese, 1981 - JSTOR
In a series of papers published in the 1960's, AP Dempster developed a generalization of
the Bayesian theory of statistical in ference. In A Mathematical Theory of Evidence …
the Bayesian theory of statistical in ference. In A Mathematical Theory of Evidence …
Exchangeability and sets of desirable gambles
G De Cooman, E Quaeghebeur - International Journal of Approximate …, 2012 - Elsevier
Sets of desirable gambles constitute a quite general type of uncertainty model with an
interesting geometrical interpretation. We give a general discussion of such models and …
interesting geometrical interpretation. We give a general discussion of such models and …
Sets of desirable gambles: conditioning, representation, and precise probabilities
The theory of sets of desirable gambles is a very general model which covers most of the
existing theories for imprecise probability as special cases; it has a clear and simple …
existing theories for imprecise probability as special cases; it has a clear and simple …
Sets of probability distributions, independence, and convexity
FG Cozman - Synthese, 2012 - Springer
This paper analyzes concepts of independence and assumptions of convexity in the theory
of sets of probability distributions. The starting point is Kyburg and Pittarelli's discussion of …
of sets of probability distributions. The starting point is Kyburg and Pittarelli's discussion of …
Notes on desirability and conditional lower previsions
E Miranda, M Zaffalon - Annals of Mathematics and Artificial Intelligence, 2010 - Springer
We detail the relationship between sets of desirable gambles and conditional lower
previsions. The former is one the most general models of uncertainty. The latter corresponds …
previsions. The former is one the most general models of uncertainty. The latter corresponds …
Semantics for fuzzy reasoning
R Giles - International Journal of Man-Machine Studies, 1982 - Elsevier
In the usual approaches to fuzzy set theory the notions of grade of membership, possibility,
and so on are taken as given and axioms are put forward to govern the behaviour of these …
and so on are taken as given and axioms are put forward to govern the behaviour of these …