A class of aggregation functions encompassing two-dimensional OWA operators
| dc.contributor.author | Bustince, Humberto | |
| dc.contributor.author | Calvo Sánchez, Tomasa | |
| dc.contributor.author | De Baets, Bernard | |
| dc.contributor.author | Fodor, János | |
| dc.contributor.author | Mesiar, Radko | |
| dc.contributor.author | Montero De Juan, Francisco Javier | |
| dc.contributor.author | Paternain Dallo, Daniel | |
| dc.contributor.author | Pradera, A. | |
| dc.date.accessioned | 2023-06-20T00:14:33Z | |
| dc.date.available | 2023-06-20T00:14:33Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | In this paper we prove that, under suitable conditions, Atanassov’s Ka operators, which act on intervals, provide the same numerical results as OWA operators of dimension two. On one hand, this allows us to recover OWA operators from Ka operators. On the other hand, by analyzing the properties of Atanassov’s operators, we can generalize them. In this way, we introduce a class of aggregation functions – the generalized Atanassov operators – that,in particular, include two-dimensional OWA operators. We investigate under which conditions these generalized Atanassov operators satisfy some properties usually required for aggregation functions, such as bisymmetry, strictness, monotonicity, etc. We also show that if we apply these aggregation functions to interval-valued fuzzy sets, we obtain an ordered family of fuzzy sets. | en |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16002 | |
| dc.identifier.citation | Bustince, H., Calvo, T., De Baets, B., Fodor, J., Mesiar, R., Montero, J., Paternain, D., Pradera, A.: A class of aggregation functions encompassing two-dimensional OWA operators. Information Sciences. 180, 1977-1989 (2010). https://doi.org/10.1016/j.ins.2010.01.022 | |
| dc.identifier.doi | 10.1016/j.ins.2010.01.022 | |
| dc.identifier.issn | 0020-0255 | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.ins.2010.01.022 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/science/article/pii/S0020025510000447 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42257 | |
| dc.issue.number | 10 | |
| dc.journal.title | Information Sciences | |
| dc.language.iso | eng | |
| dc.page.final | 1989 | |
| dc.page.initial | 1977 | |
| dc.publisher | Elsevier Science Inc | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 004.8 | |
| dc.subject.keyword | OWA operators | |
| dc.subject.keyword | Interval-valued fuzzy sets | |
| dc.subject.keyword | Ka operators | |
| dc.subject.keyword | Generalized Ka operators | |
| dc.subject.keyword | Dispersion | |
| dc.subject.ucm | Inteligencia artificial (Informática) | |
| dc.subject.unesco | 1203.04 Inteligencia Artificial | |
| dc.title | A class of aggregation functions encompassing two-dimensional OWA operators | en |
| dc.type | journal article | |
| dc.volume.number | 180 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 9e4cf7df-686c-452d-a98e-7b2602e9e0ea | |
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