Eliciting CPTS-integrals on bipolar scale

Agnès Rico (1) , Michio Sugeno (2)

1 ERIC - Equipe de Recherche en Ingénierie des Connaissances
2 European Centre for Soft Computing

CPTS-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.

Domaines: Mathématique discrète [cs.DM]

Agnès Rico, Michio Sugeno. Eliciting CPTS-integrals on bipolar scale. 14th International Conference on Information Processing and Management of Uncertainty in Knowledge-B, Jul 2012, Cantania, Italy. pp.268-277, ⟨10.1007/978-3-642-31724-8_28⟩. ⟨hal-00691929⟩