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|
|Date of revision:|
|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/|
|Contact details of provider:|| Web page: http://hal.archives-ouvertes.fr/|
When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-00188173. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD)
If references are entirely missing, you can add them using this form.