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p-symmetric bi-capacities

dc.contributor.authorMiranda Menéndez, Pedro
dc.contributor.authorGrabisch, Michel
dc.date.accessioned2023-06-20T09:41:33Z
dc.date.available2023-06-20T09:41:33Z
dc.date.issued2004
dc.description.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, ... ) into subsets whose elements are all indifferent for the decision maker.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipFEDER-MCYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17085
dc.identifier.issn0023-5954
dc.identifier.officialurlhttp://dml.cz/dmlcz/135605
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50193
dc.issue.number4
dc.journal.titleKybernetika
dc.language.isoeng
dc.page.final440
dc.page.initial421
dc.publisherKybernetika
dc.relation.projectIDBFM2001-3515.
dc.rights.accessRightsrestricted access
dc.subject.cdu517.987.1
dc.subject.keywordbi-capacity
dc.subject.keywordbipolar scales
dc.subject.keywordp-symmetry
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titlep-symmetric bi-capacities
dc.typejournal article
dc.volume.number40
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