Two views of belief: belief as generalized probability and belief as evidence
Artificial Intelligence
Measures of uncertainty in expert systems
Artificial Intelligence
Imprecise second-order hierarchical uncertainty model
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
An introduction to the imprecise Dirichlet model for multinomial data
International Journal of Approximate Reasoning
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Natural extension is a powerful tool for combining the expert judgments in the framework of imprecise probability theory. However, it assumes that every judgment is "true" and this fact leads to some difficulties in many applications. Therefore, a second-order uncertainty model is considered in the paper where probabilities on the second-order level are taken by using the imprecise Dirichlet model. The approach proposed in the paper is illustrated by application and auxiliary examples.