On the concept of possibility-probability consistency
Fuzzy Sets and Systems
On Spohn's rule for revision of beliefs
International Journal of Approximate Reasoning
Epistemic entrenchment and possibilistic logic
Artificial Intelligence
Valuation-based systems: a framework for managing uncertainty in expert systems
Fuzzy logic for the management of uncertainty
Reasoning with qualitative probabilities can be tractable
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Using possibility theory in expert systems
Fuzzy Sets and Systems
The emergence of ordered belief from initial ignorance
AAAI '94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 1)
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
A general non-probabilistic theory of inductive reasoning
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
Axioms for probability and belief-function proagation
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
Argumentation and Qualitative Probabilistic Reasoning Using the Kappa Calculus
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
A unified framework for order-of-magnitude confidence relations
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
Qualitative decision under uncertainty: back to expected utility
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
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In this paper, we analyze the relationship between probability and Spohn's theory for representation of uncertain beliefs. Using the intuitive idea that the more probable a proposition is, the more believable it is, we study transformations from probability to Spohnian disbelief and vice-versa. The transformations described in this paper are different from those described in the literature. In particular, the former satisfies the principles of ordinal congruence while the latter does not. Such transformations between probability and Spohn's calculi can contribute to (1) a clarification of the semantics of nonprobabilistic degree of uncertain belief, and (2) to a construction of a decision theory for such calculi. In practice, the transformations will allow a meaningful combination of more than one calculus in different stages of using an expert system such as knowledge acquisition, inference, and interpretation of results.