\(T\)-conditional possibilities: coherence and inference. (English) Zbl 1178.60006

Summary: We refer to an axiomatic definition of \(T\)-conditional possibility, where \(T\) is any \(t\)-norm. We characterize a full \(T\)-conditional possibility in terms of a suitable set of unconditional possibilities. Starting from this characterization we are able to manage coherent conditional possibility assessments and their enlargements. To compare \(T\)-conditional possibility related to different \(t\)-norm \(T\), we study binary relations locally representable by a \(T\)-conditional possibility.


60A86 Fuzzy probability
60A05 Axioms; other general questions in probability
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