Belief structures, possibility theory and decomposable confidence measures on finite sets
Computers and Artificial Intelligence
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Artificial Intelligence - Special issue on knowledge representation
Epistemic entrenchment and possibilistic logic
Artificial Intelligence
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Artificial Intelligence
Diverse confidence levels in a probabilistic semantics for conditional logics
Artificial Intelligence
Nonstandard numbers for qualitative decision making
TARK '98 Proceedings of the 7th conference on Theoretical aspects of rationality and knowledge
Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
Lexicographic probability, conditional probability, and nonstandard probability
TARK '01 Proceedings of the 8th conference on Theoretical aspects of rationality and knowledge
Ordinal and probabilistic representations of acceptance
Journal of Artificial Intelligence Research
Defining relative likelihood in partially-ordered preferential structures
Journal of Artificial Intelligence Research
Qualitative decision under uncertainty: back to expected utility
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Plausibility measures and default reasoning
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
On transformations between probability and spohnian disbelief functions
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
An order of magnitude calculus
UAI'95 Proceedings of the Eleventh conference on Uncertainty in artificial intelligence
Generalized qualitative probability: savage revisited
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
Making Discrete Sugeno Integrals More Discriminant
International Journal of Approximate Reasoning
On the qualitative comparison of decisions having positive and negative features
Journal of Artificial Intelligence Research
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
Leximax relations in decision making through the dominance plausible rule
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
On the qualitative comparison of sets of positive and negative affects
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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The aim of this work is to provide a unified framework for ordinal representations of uncertainty lying at the crossroads between possibility and probability theories. Such confidence relations between events are commonly found in nonmonotonic reasoning, inconsistency management, or qualitative decision theory. They start either from probability theory, making it more qualitative, or from possibility theory, making it more expressive. We show these two trends converge to a class of genuine probability relations, numerically representable, that cumulate features of probability and possibility theories. We provide characterization results for these useful tools that preserve the qualitative nature of possibility rankings, while enjoying the power of expressivity of additive representations.