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.
Coherent conditional probability as a measure of information of the relevant conditioning events.
COLETTI, Giulianella;
2003
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.File in questo prodotto:
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