Add appropriate evaluators at the time of person setup. Supervisors, Peers and Subordinates can be selected at the person level.
The individuals selected would receive evaluation invites when evaluations are created, scores assigned will be displayed on the person dashboards.
Self evaluations can be enabled when you create an evaluation template.
Each of the 360 feedback categories of supervisors, self, peer and downward would be displayed separately on the person profile, reports and all exports.