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Article Dans Une Revue Kybernetika Année : 2004

p-symmetric bi-capacities

Résumé

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.
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Dates et versions

halshs-00188173 , version 1 (15-11-2007)

Identifiants

  • HAL Id : halshs-00188173 , version 1

Citer

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