p-symmetric bi-capacities

Pedro Miranda 1 Michel Grabisch 2
2 DECISION
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : 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.
Type de document :
Article dans une revue
Kybernetika, 2004, 40 (4), pp.421-440
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https://halshs.archives-ouvertes.fr/halshs-00188173
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Dernière modification le : jeudi 22 novembre 2018 - 14:09:44
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Pedro Miranda, Michel Grabisch. p-symmetric bi-capacities. Kybernetika, 2004, 40 (4), pp.421-440. 〈halshs-00188173〉

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