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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by HAL in its series Post-Print with number halshs-00188173.
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/
bi-capacity; bipolar scales; p-symmetr;
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Michel Grabisch, 2006. "Evaluation subjective," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00179068, HAL.
- repec:hal:journl:halshs-00179068 is not listed on IDEAS
- Michel Grabisch & Christophe Labreuche, 2004. "Fuzzy measures and integrals in MCDA," Post-Print, HAL halshs-00268985, HAL.
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.