Given finite points $x_1, x_2, \cdots, x_n$, the convex combination of them is defined as $\sum_{i=1}^n \alpha_i x_i, \alpha_i \geq 0, \sum_{i=1}^n \alpha_i = 1$.
What if there is an extra constraint: $\alpha_i \in \{ \frac{0}{n}, \frac{1}{n}, \cdots, \frac{n}{n} \}$. Is there a specific name for this type of combination?
E.g. One possible combination is: $\alpha_1 = \frac{n}{n}, \alpha_2, \cdots, \alpha_n = \frac{0}{n}$.