Measures of uncertainty in expert systems
Artificial Intelligence
Supremum preserving upper probabilities
Information Sciences: an International Journal
Probability updating using second order probabilities and conditional event algebra
Information Sciences: an International Journal
Second-order decision analysis
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Imprecise second-order model for a system of independent random variables
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Second-order uncertainty calculations by using the imprecise Dirichlet model
Intelligent Data Analysis
Fuzzy logic-based generalized decision theory with imperfect information
Information Sciences: an International Journal
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A hierarchical uncertainty model for combining different evidence is studied in the paper. The model is general enough for many applications. The presented approach for dealing with the model allows us to combine the available heterogeneous information in the following ways: computing new probability bounds for some predefined interval of previsions, computing an "average" interval of first-order previsions, and updating the second-order probabilities after observing new events. Numerical examples illustrate this approach.