New types of domination to characterize the preservation of T-subgroups under aggregation

This study builds upon results concerning the preservation of fuzzy structures by aggregation operators. We analyze when an aggregation operator preserves the structure of T-subgroup in the last cases remaining unresolved in the characterization of such operators. In order to characterize these oper...

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Detalhes bibliográficos
Autores: Talavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296, Ardanza-Trevijano, S. (Sergio)|||/items/41ea245d-995a-4256-9b93-66420fe2eab1, Bragard-Monier, J. (Jean)|||/items/180b1150-4828-454b-a19f-8b4ea3b03c0e, Elorza-Barbajero, J. (Jorge)|||/items/63fdedc3-7618-4494-9969-52ba551a3779
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/121088
Acesso em linha:https://hdl.handle.net/10171/121088
Access Level:acceso abierto
Palavra-chave:Aggregation operator
t-norm
T-subgroup
Domination
Aggregation of -subgroups
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spelling New types of domination to characterize the preservation of T-subgroups under aggregationTalavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296Ardanza-Trevijano, S. (Sergio)|||/items/41ea245d-995a-4256-9b93-66420fe2eab1Bragard-Monier, J. (Jean)|||/items/180b1150-4828-454b-a19f-8b4ea3b03c0eElorza-Barbajero, J. (Jorge)|||/items/63fdedc3-7618-4494-9969-52ba551a3779Aggregation operatort-normT-subgroupDominationAggregation of -subgroupsThis study builds upon results concerning the preservation of fuzzy structures by aggregation operators. We analyze when an aggregation operator preserves the structure of T-subgroup in the last cases remaining unresolved in the characterization of such operators. In order to characterize these operators for different groups, relaxed forms of domination are introduced and their properties and interconnections are studied. We also include a thorough review of the features that an aggregation operator must fulfill to preserve T-subgroups of an arbitrary group.Dadun. Depósito Académico Digital Universidad de Navarra20252025-01-0120252025-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/121088reponame:Dadun. Depósito Académico Digital de la Universidad de Navarrainstname:Universidad de NavarraInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:dadun.unav.edu:10171/1210882026-06-21T12:47:57Z
dc.title.none.fl_str_mv New types of domination to characterize the preservation of T-subgroups under aggregation
title New types of domination to characterize the preservation of T-subgroups under aggregation
spellingShingle New types of domination to characterize the preservation of T-subgroups under aggregation
Talavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296
Aggregation operator
t-norm
T-subgroup
Domination
Aggregation of -subgroups
title_short New types of domination to characterize the preservation of T-subgroups under aggregation
title_full New types of domination to characterize the preservation of T-subgroups under aggregation
title_fullStr New types of domination to characterize the preservation of T-subgroups under aggregation
title_full_unstemmed New types of domination to characterize the preservation of T-subgroups under aggregation
title_sort New types of domination to characterize the preservation of T-subgroups under aggregation
dc.creator.none.fl_str_mv Talavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296
Ardanza-Trevijano, S. (Sergio)|||/items/41ea245d-995a-4256-9b93-66420fe2eab1
Bragard-Monier, J. (Jean)|||/items/180b1150-4828-454b-a19f-8b4ea3b03c0e
Elorza-Barbajero, J. (Jorge)|||/items/63fdedc3-7618-4494-9969-52ba551a3779
author Talavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296
author_facet Talavera, F.J. (Francisco Javier)|||/items/e9e62c9b-950d-40c7-8093-8c5583964296
Ardanza-Trevijano, S. (Sergio)|||/items/41ea245d-995a-4256-9b93-66420fe2eab1
Bragard-Monier, J. (Jean)|||/items/180b1150-4828-454b-a19f-8b4ea3b03c0e
Elorza-Barbajero, J. (Jorge)|||/items/63fdedc3-7618-4494-9969-52ba551a3779
author_role author
author2 Ardanza-Trevijano, S. (Sergio)|||/items/41ea245d-995a-4256-9b93-66420fe2eab1
Bragard-Monier, J. (Jean)|||/items/180b1150-4828-454b-a19f-8b4ea3b03c0e
Elorza-Barbajero, J. (Jorge)|||/items/63fdedc3-7618-4494-9969-52ba551a3779
author2_role author
author
author
dc.contributor.none.fl_str_mv Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Aggregation operator
t-norm
T-subgroup
Domination
Aggregation of -subgroups
topic Aggregation operator
t-norm
T-subgroup
Domination
Aggregation of -subgroups
description This study builds upon results concerning the preservation of fuzzy structures by aggregation operators. We analyze when an aggregation operator preserves the structure of T-subgroup in the last cases remaining unresolved in the characterization of such operators. In order to characterize these operators for different groups, relaxed forms of domination are introduced and their properties and interconnections are studied. We also include a thorough review of the features that an aggregation operator must fulfill to preserve T-subgroups of an arbitrary group.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-01-01
2025
2025-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10171/121088
url https://hdl.handle.net/10171/121088
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dadun. Depósito Académico Digital de la Universidad de Navarra
instname:Universidad de Navarra
instname_str Universidad de Navarra
reponame_str Dadun. Depósito Académico Digital de la Universidad de Navarra
collection Dadun. Depósito Académico Digital de la Universidad de Navarra
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repository.mail.fl_str_mv
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