p-symmetric bi-capacities

Pedro Miranda (1) , Michel Grabisch (2)

1 UCM - Universidad Complutense de Madrid = Complutense University of Madrid [Madrid]
2 DECISION

Bi-capacities have been recently introduced as a natural generalization of capacities (or fuzzy measures) when the underlying scale is bipolar. They allow to build more flexible models in decision making, although their complexity is of order $3^n$, instead of $2^n$ for fuzzy measures. In order to reduce the complexity, the paper proposes the notion of $p$-symmetric bi-capacities, in the same spirit as for $p$-symmetric fuzzy measures. The main idea is to partition the set of criteria (or states of nature, individuals,\ldots) into subsets whose
elements are all indifferent for the decision maker.

Mots clés: bi-capacity; bipolar scales; p-symmetr

Domaines: Economies et finances; Mathématique discrète [cs.DM]

Pedro Miranda, Michel Grabisch. p-symmetric bi-capacities. Kybernetika, 2004, 40 (4), pp.421-440. ⟨halshs-00188173⟩