Résumé en anglais

In this paper we present a general framework for the comparison of intervals when preferencerelations have to established. The use of intervals in order to take into account imprecisionand/or uncertainty in handling preferences is well known in the literature, but ageneral theory on how such models behave is lacking. In the paper we generalise the conceptof interval (allowing the presence of more than two points). We then introduce thestructure of the framework based on the concept of relative position and component set.We provide an exhaustive study of 2-point and 3-point intervals comparison and show theway to generalise such results to n-points intervals.