Fuzzy inferences and conditional possibility distributions
Fuzzy Sets and Systems
An algebraic synthesis of the foundations of logic and probability
Information Sciences: an International Journal
Conditioning in possibility and evidence theories—a logical viewpoint
Proceedings of the 2nd International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems on Uncertainty and intelligent systems
A first course in fuzzy logic
Independence concepts in possibility theory: part I
Fuzzy Sets and Systems
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
Conditional Inference and Logic for Intelligent Systems: A Theory of Measure-Free Conditioning
Independence and Possibilistic Conditioning
Annals of Mathematics and Artificial Intelligence
Independence and Possibilistic Conditioning
Annals of Mathematics and Artificial Intelligence
Comparative models ruled by possibility and necessity: A conditional world
International Journal of Approximate Reasoning
A view on conditional measures through local representability of binary relations
International Journal of Approximate Reasoning
Possibility theory: Conditional independence
Fuzzy Sets and Systems
Conditioning in a coherent setting: Theory and applications
Fuzzy Sets and Systems
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 logical treatment of possibilistic conditioning
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Comparative conditional possibilities
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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We introduce the definition of a conditional possibility (and a conditional necessity by duality) as a primitive concept, i.e. a function whose domain is a set of conditional events. The starting point is a definition of conditional event E|H which differs from many seemingly "similar" ones adopted in the relevant literature, which makes the third value depending on E|H. It turns out that this function t(E|H) can be taken as a conditional possibility by requiring "natural" property of closure of truth-values of the conditional events with respect to max and min. We show that other definitions of conditional possibility measures, present in the literature, are particular cases of the one proposed here. Moreover, we introduce a concept of coherence for conditional possibility and a relevant characterization theorem, given in terms of a class of unconditional possibility measures.