The paper considers a axiomatization problem in decision theory that is reformulated in order to encompass the specificies of inter-temporal setups and infinite dimensional spaces, convexity axioms being parallely relaxed. This article is more specifically interested in building a multiple priors approach that wouldn't revolve around around the set of the states of the world in an uncertain environment but rather, and in a deterministic environment, upon the set of dates, or time, and a sequence of discount rates. This is completed without any convexity requirements of the pre-order and with a careful account of purely finitely additive measures and of the myopic properties of the representation.