On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation

In this paper, we prove that, on the one hand, a duality relationship between different types of modular T-transitive relations and the reciprocal modular generalized metrics exists and, on the other hand, that, based on this duality, a construction of functions that aggregate modular T-transitive r...

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Detalles Bibliográficos
Autores: Jaume-Martin, Gabriel, Talavera, Francisco Javier, Elorza, Jorge, Valero, Oscar
Tipo de recurso: artículo
Fecha de publicación:2026
País:España
Institución:Conselleria de Salut i Consum del Govern de les Illes Balears
Repositorio:Docusalut
Idioma:inglés
OAI Identifier:oai:docusalut.com:20.500.13003/26992
Acceso en línea:https://hdl.handle.net/20.500.13003/26992
Access Level:acceso abierto
Palabra clave:modular generalized metric
modular indistinguishability
aggregation
additive generator
pseudo-inverse
t-norm
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spelling On Modularity, Indistinguishability and Generalized Metrics: Duality and AggregationJaume-Martin, GabrielTalavera, Francisco JavierElorza, JorgeValero, Oscarmodular generalized metricmodular indistinguishabilityaggregationadditive generatorpseudo-inverset-normIn this paper, we prove that, on the one hand, a duality relationship between different types of modular T-transitive relations and the reciprocal modular generalized metrics exists and, on the other hand, that, based on this duality, a construction of functions that aggregate modular T-transitive relations can be made from functions aggregating generalized metrics. Furthermore, we provide a guide for the families of that type of functions that can be used for the aforementioned purpose. Finally, illustrative examples of how to create such functions via the duality are given.MDPI AG20262026-02-1620262026-02-16research articlehttp://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.13003/26992reponame:Docusalutinstname:Conselleria de Salut i Consum del Govern de les Illes BalearsInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:docusalut.com:20.500.13003/269922026-06-22T12:44:07Z
dc.title.none.fl_str_mv On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
title On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
spellingShingle On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
Jaume-Martin, Gabriel
modular generalized metric
modular indistinguishability
aggregation
additive generator
pseudo-inverse
t-norm
title_short On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
title_full On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
title_fullStr On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
title_full_unstemmed On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
title_sort On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation
dc.creator.none.fl_str_mv Jaume-Martin, Gabriel
Talavera, Francisco Javier
Elorza, Jorge
Valero, Oscar
author Jaume-Martin, Gabriel
author_facet Jaume-Martin, Gabriel
Talavera, Francisco Javier
Elorza, Jorge
Valero, Oscar
author_role author
author2 Talavera, Francisco Javier
Elorza, Jorge
Valero, Oscar
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv modular generalized metric
modular indistinguishability
aggregation
additive generator
pseudo-inverse
t-norm
topic modular generalized metric
modular indistinguishability
aggregation
additive generator
pseudo-inverse
t-norm
description In this paper, we prove that, on the one hand, a duality relationship between different types of modular T-transitive relations and the reciprocal modular generalized metrics exists and, on the other hand, that, based on this duality, a construction of functions that aggregate modular T-transitive relations can be made from functions aggregating generalized metrics. Furthermore, we provide a guide for the families of that type of functions that can be used for the aforementioned purpose. Finally, illustrative examples of how to create such functions via the duality are given.
publishDate 2026
dc.date.none.fl_str_mv 2026
2026-02-16
2026
2026-02-16
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.13003/26992
url https://hdl.handle.net/20.500.13003/26992
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
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
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:Docusalut
instname:Conselleria de Salut i Consum del Govern de les Illes Balears
instname_str Conselleria de Salut i Consum del Govern de les Illes Balears
reponame_str Docusalut
collection Docusalut
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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