A note on the convex structure of uncertainty measures on MV-algebras
Tipo de Publicación:
Conference PaperOrigen:
6th International Conference on Soft Methods for Probability and Statistics (SMPS 2012), Springer Berlin Heidelberg, Volumen190, Konstanz (Germany), p.73-82 (2013)Resumen:
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.