n-Dimensional overlap functions
| dc.contributor.author | Gómez González, Daniel | |
| dc.contributor.author | Rodríguez González, Juan Tinguaro | |
| dc.contributor.author | Montero De Juan, Francisco Javier | |
| dc.contributor.author | Bustince, Humberto | |
| dc.contributor.author | Barrenechea, Edurne | |
| dc.date.accessioned | 2023-06-19T13:28:04Z | |
| dc.date.available | 2023-06-19T13:28:04Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper we introduce the definition of n-dimensional overlap functions and we justify the axiomatization proposed in its definition. Basically, these functions allow to measure the degree of overlapping of several classes in a given classification system and for any given object. We also show a construction method for this class of functions, studying its relationships with the properties of migrativity, homogeneity and Lipschitz continuity. Finally, we propose an example where the use of n-dimensional overlap functions provides better results than those obtained with the commonly used product t-norm. | en |
| dc.description.department | Depto. de Estadística e Investigación Operativa | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | inpress | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/28381 | |
| dc.identifier.citation | Gómez, D., Rodríguez, J.T., Montero, J., Bustince, H., Barrenechea, E.: n-Dimensional overlap functions. Fuzzy Sets and Systems. 287, 57-75 (2016). https://doi.org/10.1016/j.fss.2014.11.023 | |
| dc.identifier.doi | 10.1016/j.fss.2014.11.023 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.officialurl | https//doi.org/10.1016/j.fss.2014.11.023 | |
| dc.identifier.relatedurl | http://ac.els-cdn.com/S0165011414005417/1-s2.0-S0165011414005417-main.pdf?_tid=9ea4b8d0-b376-11e4-acf8-00000aacb35e&acdnat=1423828457_df72990dfd6def6ba70feb65f7f14f9e | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/33787 | |
| dc.journal.title | Fuzzy Sets and Systems | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | s TIN2012-32482 | |
| dc.relation.projectID | TIN2013-40765-P | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.22 | |
| dc.subject.keyword | Aggregation operators | |
| dc.subject.keyword | Overlap functions | |
| dc.subject.keyword | Grouping functions | |
| dc.subject.ucm | Estadística matemática (Matemáticas) | |
| dc.subject.unesco | 1209 Estadística | |
| dc.title | n-Dimensional overlap functions | en |
| dc.type | journal article | |
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