Abstract
We go on with our study of a coherent conditional probability looked on as a general non-additive “uncertainty” measure ϕ(.) = P(E|.) of the conditioning events. In particular, we proved in [6] (see also the book [5]) that ϕ can be interpreted as a possibility measure. In a previous paper [7] we gave a relevant characterization, showing that ϕ is a capacity if and only if it is a possibility. In this paper we give a characterization of ϕ as an (antimonotone) information measure in the sense of Kampé de Feriet and Forte.
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Coletti, G., Scozzafava, R. (2003). Coherent Conditional Probability as a Measure of Information of the Relevant Conditioning Events. In: R. Berthold, M., Lenz, HJ., Bradley, E., Kruse, R., Borgelt, C. (eds) Advances in Intelligent Data Analysis V. IDA 2003. Lecture Notes in Computer Science, vol 2810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45231-7_12
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DOI: https://doi.org/10.1007/978-3-540-45231-7_12
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