Suppose I have a set $\Omega = \{\omega_1,\omega_2,\omega_3,\ldots,\omega_k,\omega_n\}$ of $n$ elements. I ordered $\Omega$ with two different criteria by defining two new sets $A$ and $B$ of $k$ elements where $k$ is a fixed quantity $k
Roughly explanation: What I want to do is the same reasoning behind a linear convex combination of two points $a$ and $b$ where $\lambda \in [0,1]$ , so $c = \lambda a + (1-\lambda)b$.
Can you help me? Thank you very much.