Higher order probability and intervals
International Journal of Approximate Reasoning
Calculating uncertainty intervals from conditional convex sets of probabilities
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Reasoning about Uncertainty
A logic for reasoning about upper probabilities
Journal of Artificial Intelligence Research
A behavioural model for vague probability assessments
Fuzzy Sets and Systems
| Hi-index | 0.00 |
Recently, Halpern and Leung [8] suggested representing uncertainty by a weighted set of probability measures, and suggested a way of making decisions based on this representation of uncertainty: maximizing weighted regret. Their paper does not answer an apparently simpler question: what it means, according to this representation of uncertainty, for an event E to be more likely than an event E′. In this paper, a notion of comparative likelihood when uncertainty is represented by a weighted set of probability measures is defined. It generalizes the ordering defined by probability (and by lower probability) in a natural way; a generalization of upper probability can also be defined. A complete axiomatic characterization of this notion of regret-based likelihood is given.