Aggregation of fuzzy subgroups.
| dc.contributor.author | Bejines-López, Carlos | |
| dc.contributor.author | Chasco Ugarte, María Jesús | |
| dc.contributor.author | Elorza, Jorge | |
| dc.date.accessioned | 2024-09-25T11:12:00Z | |
| dc.date.available | 2024-09-25T11:12:00Z | |
| dc.date.issued | 2020-06-02 | |
| dc.departamento | Matemática Aplicada | |
| dc.description.abstract | Given an aggregation function, and two fuzzy subgroups of a group, this study investigates whether the aggregation of them is also a fuzzy subgroup. It is proven that if the cardinal of the group is a prime power, then it is always a fuzzy subgroup. For a general group, it is proven that the existence of a binary relation between the fuzzy subgroups determines if their aggregation is a fuzzy subgroup. Moreover, given two fuzzy subgroups, if the aggregation of them is a fuzzy subgroup for some strictly monotone aggregation function, then it is a fuzzy subgroup for any aggregation function. The present study also examines conditions on the aggregation function that characterise the case where the aggregation of two arbitrary fuzzy subgroups is also a fuzzy subgroup. | es_ES |
| dc.identifier.citation | Bejines, C., Chasco, M. J., & Elorza, J. (2021). Aggregation of fuzzy subgroups. Fuzzy Sets and Systems, 418, 170–184. https://doi.org/https://doi.org/10.1016/j.fss.2020.05.017 | es_ES |
| dc.identifier.doi | 10.1016/j.fss.2020.05.017 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.uri | https://hdl.handle.net/10630/33236 | |
| dc.language.iso | spa | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights | Atribución 4.0 Internacional | * |
| dc.rights.accessRights | open access | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Conjuntos difusos | es_ES |
| dc.subject | Matemáticas aplicadas | es_ES |
| dc.subject.other | Fuzzy sets | es_ES |
| dc.subject.other | Aggregation | es_ES |
| dc.subject.other | Groups | es_ES |
| dc.title | Aggregation of fuzzy subgroups. | es_ES |
| dc.type | journal article | es_ES |
| dc.type.hasVersion | SMUR | es_ES |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ff27a270-c45a-4cf0-943d-37963e87efb2 | |
| relation.isAuthorOfPublication.latestForDiscovery | ff27a270-c45a-4cf0-943d-37963e87efb2 |
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