Approval Set (COMSOC)

Definition

Approval Set (COMSOC)

Let $C$ be a set of alternatives and $v_i$ a voter. The approval set of $v_i$ is the set

$$A_i=\{c\in C\mid v_i\text{approves }c\}\subseteq C.$$

Thus, $v_i$ approves of every $c\in A_i$, and disapproves of every $c\in C\setminus A_i$.