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On the structure of the k-additive fuzzy measures

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dc.contributor.authorMiranda Menéndez, Pedro
dc.contributor.authorCombarro, Elías F.
dc.date.accessioned2023-06-20T00:18:21Z
dc.date.available2023-06-20T00:18:21Z
dc.date.issued2010
dc.description.abstractIn this paper we present some results concerning the vertices of the set of fuzzy measures being at most k-additive. We provide an algorithm to compute them. We give some examples of the results obtained with this algorithm and give lower bounds on the number of vertices for the (n - 1)-additive case, proving that it grows much faster than the number of vertices of the general fuzzy measures. The results in the paper suggest that the structure of k-additive measures might be more complex than expected from their definition and, in particular, that they are more complex than general fuzzy measures.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMEC
dc.description.sponsorshipFEDER
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16907
dc.identifier.doi10.1016/j.fss.2010.03.016
dc.identifier.issn0165-0114
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0165011410001351
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42364
dc.issue.number17
dc.journal.titleFuzzy Sets and Systems
dc.language.isoeng
dc.page.final2327
dc.page.initial2314
dc.publisherElsevier Science Bv
dc.relation.projectIDMTM2007-61193
dc.relation.projectIDMTM2009-10072
dc.relation.projectIDBSCH-UCM910707
dc.relation.projectIDTIN2007-61273
dc.rights.accessRightsrestricted access
dc.subject.cdu515.1
dc.subject.keywordFuzzy measures
dc.subject.keywordk-Additive measures
dc.subject.keywordVertices
dc.subject.ucmTopología
dc.subject.unesco1210 Topología
dc.titleOn the structure of the k-additive fuzzy measures
dc.typejournal article
dc.volume.number161
dspace.entity.typePublication
relation.isAuthorOfPublicationd940fcaa-13c3-4bad-8198-1025a668ed71
relation.isAuthorOfPublication.latestForDiscoveryd940fcaa-13c3-4bad-8198-1025a668ed71

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