A generalization of the migrativity property of aggregation functions
| dc.contributor.author | Bustince, Humberto | |
| dc.contributor.author | De Baets, Bernard | |
| dc.contributor.author | Fernández, Javier | |
| dc.contributor.author | Mesiar, Radko | |
| dc.contributor.author | Montero De Juan, Francisco Javier | |
| dc.date.accessioned | 2023-06-20T03:52:04Z | |
| dc.date.available | 2023-06-20T03:52:04Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the a-migrativity property of Durante and Sarkoci for all values of a instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of a–B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel’s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms. | en |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Gobierno de España | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30345 | |
| dc.identifier.citation | Bustince, H., De Baets, B., Fernandez, J., Mesiar, R., Montero, J.: A generalization of the migrativity property of aggregation functions. Information Sciences. 191, 76-85 (2012). https://doi.org/10.1016/j.ins.2011.12.019 | |
| dc.identifier.doi | 10.1016/j.ins.2011.12.019 | |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.ins.2011.12.019 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0020025511006682 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/44585 | |
| dc.journal.title | Information Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 75 | |
| dc.page.initial | 76 | |
| dc.publisher | Elsevier Science Inc | |
| dc.relation.projectID | TIN2010-15055 | |
| dc.relation.projectID | TIN2009-07901 | |
| dc.relation.projectID | APVV-0073-10 | |
| dc.relation.projectID | 6198898701 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.8 | |
| dc.subject.keyword | Aggregation function | |
| dc.subject.keyword | Migrativity | |
| dc.subject.keyword | Associativity | |
| dc.subject.keyword | Additive generator | |
| dc.subject.keyword | t-Norm | |
| dc.subject.keyword | Uninorm | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | A generalization of the migrativity property of aggregation functions | en |
| dc.type | journal article | |
| dc.volume.number | 191 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 9e4cf7df-686c-452d-a98e-7b2602e9e0ea | |
| relation.isAuthorOfPublication.latestForDiscovery | 9e4cf7df-686c-452d-a98e-7b2602e9e0ea |
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