AbstractBi-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 whoseelements are all indifferent for the decision maker.
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Bibliographic InfoPaper provided by HAL in its series Post-Print with number halshs-00188173.
Date of creation: 2004
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Publication status: Published, Kybernetika, 2004, 40, 4, 421-440
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00188173/en/
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bi-capacity; bipolar scales; p-symmetr;
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- Michel Grabisch & Christophe Labreuche, 2004. "Fuzzy measures and integrals in MCDA," Post-Print halshs-00268985, HAL.
- Michel Grabisch, 2006. "Evaluation subjective," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00179068, HAL.
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