Bayesian and non-Bayesian evidential updating
Artificial Intelligence
Reasoning with belief functions: an analysis of compatibility
International Journal of Approximate Reasoning
Measures of uncertainty in expert systems
Artificial Intelligence
Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference
Updating beliefs with incomplete observations
Artificial Intelligence
Graphoid properties of epistemic irrelevance and independence
Annals of Mathematics and Artificial Intelligence
Epistemic irrelevance on sets of desirable gambles
Annals of Mathematics and Artificial Intelligence
Notes on “Notes on conditional previsions”
International Journal of Approximate Reasoning
Notes on conditional previsions
International Journal of Approximate Reasoning
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Dedicated to the 60th birthday of Etienne E. Kerre
Decision making under uncertainty using imprecise probabilities
International Journal of Approximate Reasoning
Marginal extension in the theory of coherent lower previsions
International Journal of Approximate Reasoning
Credible classification for environmental problems
Environmental Modelling & Software
Utilizing belief functions for the estimation of future climate change
International Journal of Approximate Reasoning
An introduction to the imprecise Dirichlet model for multinomial data
International Journal of Approximate Reasoning
Uncertainty modelling and conditioning with convex imprecise previsions
International Journal of Approximate Reasoning
Irrelevance and independence relations in Quasi-Bayesian networks
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
Independence concepts for convex sets of probabilities
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Artificial Intelligence in Medicine
Updating coherent previsions on finite spaces
Fuzzy Sets and Systems
Computing expectations with continuous p-boxes: Univariate case
International Journal of Approximate Reasoning
Finite approximations of data-based decision problems under imprecise probabilities
International Journal of Approximate Reasoning
Heterogeneous uncertainties in cholesterol management
International Journal of Approximate Reasoning
Conservative inference rule for uncertain reasoning under incompleteness
Journal of Artificial Intelligence Research
A k-nearest neighbours method based on lower previsions
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
International Journal of Approximate Reasoning
Epistemic irrelevance in credal nets: The case of imprecise Markov trees
International Journal of Approximate Reasoning
Probability boxes on totally preordered spaces for multivariate modelling
International Journal of Approximate Reasoning
Artificial Intelligence
Notes on desirability and conditional lower previsions
Annals of Mathematics and Artificial Intelligence
The use of Markov operators to constructing generalised probabilities
International Journal of Approximate Reasoning
Generalizing inference rules in a coherence-based probabilistic default reasoning
International Journal of Approximate Reasoning
Constrained optimization problems under uncertainty with coherent lower previsions
Fuzzy Sets and Systems
Conglomerable natural extension
International Journal of Approximate Reasoning
On the connection between probability boxes and possibility measures
Information Sciences: an International Journal
Independence and 2-monotonicity: Nice to have, hard to keep
International Journal of Approximate Reasoning
Extreme lower previsions and minkowski indecomposability
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Pricing and hedging in a single period market with random interval valued assets
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
Stochastic dominance with imprecise information
Computational Statistics & Data Analysis
Hi-index | 0.00 |
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 previsions, closed and convex sets of linear previsions, and sets of desirable gambles. We show also how the notion of coherence can be used to update our beliefs with new information, and a number of possibilities to model the notion of independence with coherent lower previsions. Next, we comment on the connection with other approaches in the literature: de Finetti's and Williams' earlier work, Kuznetsov's and Weischelberger's work on interval-valued probabilities, Dempster-Shafer theory of evidence and Shafer and Vovk's game-theoretic approach. Finally, we present a brief survey of some applications and summarize the main strengths and challenges of the theory.