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.

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