A logic to reason about likelihood
Artificial Intelligence
An introduction to possibilistic and fuzzy logics
Readings in uncertain reasoning
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Conditional logics of normality: a modal approach
Artificial Intelligence
A Logic of Relative Desire (Preliminary Report)
ISMIS '91 Proceedings of the 6th International Symposium on Methodologies for Intelligent Systems
A Modal Analysis of Possibility Theory
ECSQAU Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Possibilistic logic, preferential models, non-monotonicity and related issues
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 1
Plausibility measures and default reasoning
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
A Logical Analysis of the Relationship between Commitment and Obligation
Journal of Logic, Language and Information
Encoding the Revision of Partially Preordered Information in Answer Set Programming
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
A symmetric view of utilities and probabilities
IJCAI'97 Proceedings of the Fifteenth international joint conference on Artifical intelligence - Volume 2
Extending Removed Sets Revision to partially preordered belief bases
International Journal of Approximate Reasoning
Comparative uncertainty, belief functions and accepted beliefs
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
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Starting with a likelihood or preference order on worlds, we extend it to a likelihood ordering on sets of worlds in a natural way, and examine the resulting logic. Lewis [1973] earlier considered such a notion of relative likelihood in the context of studying counterfactuals, but he assumed a total preference order on worlds. Complications arise when examining partial orders that are not present for total orders. There are subtleties involving the exact approach to lifting the order on worlds to an order on sets of worlds. In addition, the axiomatization of the logic of relative likelihood in the case of partial orders gives insight into the connection between relative likelihood and default reasoning.