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On the concept of possibility-probability consistency
Fuzzy Sets and Systems
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Journal of Mathematical Psychology
When upper probabilities are possibility measures
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A general framework for upper and lower possibilities and necessities
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Reasoning about Uncertainty
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A view on conditional measures through local representability of binary relations
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T-conditional possibilities: Coherence and inference
Fuzzy Sets and Systems
An uncertainty interchange format with imprecise probabilities
International Journal of Approximate Reasoning
Algorithms for possibility assessments: Coherence and extension
Fuzzy Sets and Systems
Inferential models and relevant algorithms in a possibilistic framework
International Journal of Approximate Reasoning
A bridge between probability and possibility in a comparative framework
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
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Automatica (Journal of IFAC)
Inferential processes leading to possibility and necessity
Information Sciences: an International Journal
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This paper studies the connections among different (comparative or numerical) degrees of belief. In particular we consider, in turn, a comparative probability or possibility on a given Boolean algebra and we prove that their upper extensions to a different Boolean algebra are, respectively, a comparative plausibility or possibility. On the other hand, in general the upper extension of a comparative necessity is simply a comparative capacity. Moreover, by considering a suitable condition of weak logical independence between the two Boolean algebras, we prove that the upper ordinal relation is a comparative possibility in all the aforementioned cases. We consider specifically also the lower ordinal relations, since they may not be the comparative dual relation of the upper ones.