期刊
FUZZY SETS AND SYSTEMS
卷 250, 期 -, 页码 25-51出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2013.09.010
关键词
Likelihood function; Coherence; Conditional probability; DP-conditional possibility; T-conditional possibility
We deal with conditional probability in the sense of de Finetti and with T-conditional possibility (with T a triangular norm). We prove that Dubois and Prade conditional possibility is a particular min-conditional possibility and then we compare the two notions of conditioning by an inferential point of view. Moreover, we study T-conditional possibilities as functions of the conditioning event, putting in evidence analogies and differences with conditional probabilities. This allows to characterize likelihood functions (and their aggregations) consistent either with a T-conditional possibility or a conditional probability. This analysis highlights many syntactical coincidences. Nevertheless the main difference is a weak form of monotonicity, which arises only in the possibilistic case. (C) 2013 Elsevier B.V. All rights reserved.
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