3 problems

Let ${\mathbb X}_1,\ldots,{\mathbb X}_n$ be binary frames with ${\mathbb X}_1=\cdots={\mathbb X}_n=\{T,F\}$, and let $(x_1,\ldots,x_n)$ be a singleton element of…

Let $\Theta$ be a finite frame, and let $\mathcal{M}^2$ denote the space of 2-monotone capacities on $\Theta$. This space is embedded in a Cartesian space of the same dimension as…

Let $Bel$ and $Bel_i$ be belief functions on a binary frame, and let $(\alpha_i)_i$ be affine coefficients, so that $\sum_i\alpha_i=1$. Write $\textcircled{\scriptstyle{Y}}$ for Ya…