Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets

Based on previous investigations, we have proposed two different methods to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations and implications) and other related operators, considering a generalized notion of sublattices. Taking into account the results obtained and seeking to a...

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Autores: Palmeira, Eduardo S., Bedregal, Benjamin, Bustince Sola, Humberto, Paternain Dallo, Daniel, Miguel Turullols, Laura de
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/27301
Acceso en línea:https://hdl.handle.net/2454/27301
Access Level:acceso abierto
Palabra clave:Fuzzy logic
Restricted equivalence functions
Retractions
Extension
E-operators
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spelling Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy setsPalmeira, Eduardo S.Bedregal, BenjaminBustince Sola, HumbertoPaternain Dallo, DanielMiguel Turullols, Laura deFuzzy logicRestricted equivalence functionsRetractionsExtensionE-operatorsBased on previous investigations, we have proposed two different methods to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations and implications) and other related operators, considering a generalized notion of sublattices. Taking into account the results obtained and seeking to analyze the behavior of both extension methods in face of fuzzy operators related to image processing, we have applied these methods so as to extend restricted equivalence functions, restricted dissimilarity functions and Ee,N-normal functions. We also generalize the concepts of similarity measure, distance measure and entropy measure for L-fuzzy sets constructing them via restricted equivalence functions, restricted dissimilarity functions and Ee,N-normal functionsThis work was partially supported by the Brazilian Funding Agency CNPq under the Process 307781/2016-0, the Research Services of Universidad Publica de Navarra and by the research project TIN2016-77356-P from MINECO, AEI/FEDER, UE.ElsevierAutomatika eta KonputazioaInstitute of Smart Cities - ISCAutomática y ComputaciónUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/27301reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P© 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 licensehttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/273012026-06-17T12:41:47Z
dc.title.none.fl_str_mv Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
title Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
spellingShingle Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
Palmeira, Eduardo S.
Fuzzy logic
Restricted equivalence functions
Retractions
Extension
E-operators
title_short Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
title_full Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
title_fullStr Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
title_full_unstemmed Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
title_sort Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
dc.creator.none.fl_str_mv Palmeira, Eduardo S.
Bedregal, Benjamin
Bustince Sola, Humberto
Paternain Dallo, Daniel
Miguel Turullols, Laura de
author Palmeira, Eduardo S.
author_facet Palmeira, Eduardo S.
Bedregal, Benjamin
Bustince Sola, Humberto
Paternain Dallo, Daniel
Miguel Turullols, Laura de
author_role author
author2 Bedregal, Benjamin
Bustince Sola, Humberto
Paternain Dallo, Daniel
Miguel Turullols, Laura de
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Automatika eta Konputazioa
Institute of Smart Cities - ISC
Automática y Computación
Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
dc.subject.none.fl_str_mv Fuzzy logic
Restricted equivalence functions
Retractions
Extension
E-operators
topic Fuzzy logic
Restricted equivalence functions
Retractions
Extension
E-operators
description Based on previous investigations, we have proposed two different methods to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations and implications) and other related operators, considering a generalized notion of sublattices. Taking into account the results obtained and seeking to analyze the behavior of both extension methods in face of fuzzy operators related to image processing, we have applied these methods so as to extend restricted equivalence functions, restricted dissimilarity functions and Ee,N-normal functions. We also generalize the concepts of similarity measure, distance measure and entropy measure for L-fuzzy sets constructing them via restricted equivalence functions, restricted dissimilarity functions and Ee,N-normal functions
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/27301
url https://hdl.handle.net/2454/27301
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P
dc.rights.none.fl_str_mv © 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2018 Elsevier Inc. The manuscript version is made available under the CC BY-NC-ND 4.0 license
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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