International audienceCPTS-integrals (Cumulative Prospect Theory Sugeno inte- gral) are agregation functions that return a global rating when the eval- uations are given on a bipolar scale. This paper presents the problem of the elicitation of CPTS-integrals agreeing with a data set composed of pairs concerning some criteria and a global evaluation. Moreover the set of fuzzy measures which are solutions of this inverse problem is identi- fied. When the elicitation of one CPTS-integral is not possible, a set of family of CPTS-integrals is proposed