We study a decision-maker who selects, in every fixed period of time, T times from every collection of feasible alternatives, where T is predetermined by him. We axiomatize the class of T-choice functions according to which the decision-maker has fixed preference relation along the same period but has limited loyalty. The decision-maker selects, deterministically, in a way such that the higher an alternative is ranked by his preference relation the higher it is selected in his T choices.