Title A note on the convex structure of uncertainty measures on MV-algebras Publication Type Conference Paper Year of Publication 2013 Authors Flaminio T, Godo L Conference Name Synergies of Soft Computing and Statistics for Intelligent Data Analysis –6th International Conference on Soft Methods for Probability and Statistics (SMPS 2012) Volume 190 Edition R. Kruse et al. Publisher Springer Berlin Heidelberg Conference Location Konstanz (Germany) Pagination 73-82 Date Published 04/10/2012 Abstract In this paper we address the issue of providing a geometrical characterization for the decision problem of asking whether a partial assignment $\beta:f_i\mapsto\alpha_i$ mapping {\em fuzzy events} $f_i$ into real numbers $\alpha_i$ $(i = 1, \ldots,n)$ 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.