Boundary optimization for rough sets

Konrad Engel, Tran Dan Thu

Let $n>m\ge 2$ be integers and let $\mathcal{A}=\{A_1,\dots ,A_m\}$ be a partition of $[n]=\{1,\dots ,n\}$. For $X\subseteq [n]$, its $\mathcal{A}$-boundary region $\mathcal{A}(X)…