| 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. |
