p-symmetric bi-capacities

Pedro Miranda () and Michel Grabisch
Additional contact information
Pedro Miranda: UCM - Universidad Complutense de Madrid = Complutense University of Madrid [Madrid]

Post-Print from HAL

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 whoseelements are all indifferent for the decision maker.

Keywords: bi-capacity; bipolar scales; p-symmetr (search for similar items in EconPapers)
Date: 2004
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00188173
References: Add references at CitEc
Citations: View citations in EconPapers (10)

Published in Kybernetika, 2004, 40 (4), pp.421-440

Downloads: (external link)
https://shs.hal.science/halshs-00188173/document (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00188173

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().