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 whoseelements are all indifferent for the decision maker.
|Date of creation:||2004|
|Publication status:||Published in Kybernetika, 2004, 40 (4), pp.421-440|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00188173|
|Contact details of provider:|| Web page: https://hal.archives-ouvertes.fr/|
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