# p-symmetric bi-capacities

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.
Keywords :
Document type :
Journal articles
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https://halshs.archives-ouvertes.fr/halshs-00188173
Contributor : Michel Grabisch <>
Submitted on : Thursday, November 15, 2007 - 5:45:26 PM
Last modification on : Thursday, March 21, 2019 - 1:01:00 PM
Long-term archiving on : Monday, April 12, 2010 - 2:22:49 AM

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kybernetica03.pdf
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• HAL Id : halshs-00188173, version 1

### Citation

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

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