Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Constraint propagation with imprecise conditional probabilities
Proceedings of the seventh conference (1991) on Uncertainty in artificial intelligence
Combination of upper and lower probabilities
Proceedings of the seventh conference (1991) on Uncertainty in artificial intelligence
Updating Uncertain Information
IPMU '90 Proceedings of the 3rd International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems: Uncertainty in Knowledge Bases
Axioms for probability and belief-function proagation
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
Stochastic Independence in a Coherent Setting
Annals of Mathematics and Artificial Intelligence
Strong Conditional Independence for Credal Sets
Annals of Mathematics and Artificial Intelligence
SBIA '02 Proceedings of the 16th Brazilian Symposium on Artificial Intelligence: Advances in Artificial Intelligence
Irrelevance and Independence Axioms in Quasi-Bayesian Theory
ECSQARU '95 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Stochastic independence for upper and lower probabilities in a coherent setting
Technologies for constructing intelligent systems
Conditional independence structures and graphical models
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Graphoid properties of epistemic irrelevance and independence
Annals of Mathematics and Artificial Intelligence
Computing lower and upper expectations under epistemic independence
International Journal of Approximate Reasoning
A survey of the theory of coherent lower previsions
International Journal of Approximate Reasoning
Conditional independence structure and its closure: Inferential rules and algorithms
International Journal of Approximate Reasoning
Conditional plausibility measures and Bayesian networks
Journal of Artificial Intelligence Research
Conservative inference rule for uncertain reasoning under incompleteness
Journal of Artificial Intelligence Research
Graphical models for imprecise probabilities
International Journal of Approximate Reasoning
Measures of uncertainty for imprecise probabilities: An axiomatic approach
International Journal of Approximate Reasoning
Independence concepts in evidence theory
International Journal of Approximate Reasoning
Inference with separately specified sets of probabilities in credal networks
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
Separation properties of sets of probability measures
UAI'00 Proceedings of the Sixteenth conference on Uncertainty in artificial intelligence
Conditional plausibility measures and Bayesian networks
UAI'00 Proceedings of the Sixteenth conference on Uncertainty in artificial intelligence
Irrelevance and independence relations in Quasi-Bayesian networks
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
Independence with lower and upper probabilities
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Inference in polytrees with sets of probabilities
UAI'03 Proceedings of the Nineteenth conference on Uncertainty in Artificial Intelligence
Probabilistic logic with strong independence
IBERAMIA-SBIA'06 Proceedings of the 2nd international joint conference, and Proceedings of the 10th Ibero-American Conference on AI 18th Brazilian conference on Advances in Artificial Intelligence
Irrelevant and independent natural extension for sets of desirable gambles
Journal of Artificial Intelligence Research
International Journal of Approximate Reasoning
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In this paper we study different concepts of independence for convex sets of probabilities. There will be two basic ideas for independence. The first is irrelevance. Two variables are independent when a change on the knowledge about one variable does not affect the other. The second one is factorization. Two variables are independent when the joint convex set of probabilities can be decomposed on the product of marginal convex sets. In the case of the Theory of Probability, these two starting points give rise to the same definition. In the case of convex sets of probabilities, the resulting concepts will be strongly related, but they will not be equivalent. As application of the concept of independence, we shall consider the problem of building a global convex set from marginal convex sets of probabilities.