p-symmetric fuzzy measures

Pedro Miranda (1) , Michel Grabisch (2) , Pedro Gil (3)

1 UCM - Universidad Complutense de Madrid = Complutense University of Madrid [Madrid]
2 SYSDEF - Systèmes d'aide à la décision et à la formation
3 Universidad de Oviedo [Oviedo]

In this paper we propose a generalization of the concept of symmetric fuzzy measure based in a decomposition of the universal set in what we have called subsets of indifference. Some properties of these measures are studied, as well as their Choquet integral. Finally, a degree of interaction between the subsets of indifference is defined.

Mots clés: Fuzzy measures; OWA operator; Choquet integral

Domaines: Mathématique discrète [cs.DM]; Economies et finances; Recherche opérationnelle [math.OC]

Pedro Miranda, Michel Grabisch, Pedro Gil. p-symmetric fuzzy measures. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002, 10 (supp01), pp.105-123. ⟨10.1142/s0218488502001867⟩. ⟨hal-00273960⟩