Abstract
In this paper we address the issue of providing a geometrical characterization for the decision problem of asking whether a partial assignment β:f i ↦α i mapping fuzzy events f i into real numbers α i (i = 1, …,n) extends to a generalized belief function on fuzzy sets, according to a suitable definition. We will characterize this problem in a way that allows to treat it as the membership problem of a point to a specific convex set.
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Flaminio, T., Lacasa, L.G. (2013). A Note on the Convex Structure of Uncertainty Measures on MV-algebras. In: Kruse, R., Berthold, M., Moewes, C., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Synergies of Soft Computing and Statistics for Intelligent Data Analysis. Advances in Intelligent Systems and Computing, vol 190. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33042-1_9
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DOI: https://doi.org/10.1007/978-3-642-33042-1_9
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