Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships

In this paper we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be non-convex and/or non-normal type-1 fuzzy sets. These results will be used to derive the join and meet operations of the more general descripti...

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Autores: Ruiz, Gonzalo, Hagras, Hani, Pomares, Héctor, Rojas, Ignacio, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
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:2454/32796
Acceso en línea:https://hdl.handle.net/2454/32796
Access Level:acceso abierto
Palabra clave:General type-2 fuzzy logic
Nonconvex fuzzy sets
Type-2 fuzzy logic
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spelling Join and meet operations for type-2 fuzzy sets with non-convex secondary membershipsRuiz, GonzaloHagras, HaniPomares, HéctorRojas, IgnacioBustince Sola, HumbertoGeneral type-2 fuzzy logicNonconvex fuzzy setsType-2 fuzzy logicIn this paper we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be non-convex and/or non-normal type-1 fuzzy sets. These results will be used to derive the join and meet operations of the more general descriptions of interval type-2 fuzzy sets presented in [1], where the secondary grades can be non-convex. Hence, this work will help to explore the potential of type-2 fuzzy logic systems which use the general forms of interval type-2 fuzzy sets which are not equivalent to interval valued fuzzy sets. Several examples for both general type-2 and the more general forms of interval type-2 fuzzy sets are presented.This work was supported in part by the Spanish Ministry of Science and Technology under project TIN2013-40765-PIEEEAutomática y ComputaciónAutomatika eta Konputazioa2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/32796reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/MINECO//TIN2013-40765-P© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other workinfo:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/327962026-06-17T12:41:47Z
dc.title.none.fl_str_mv Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
title Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
spellingShingle Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
Ruiz, Gonzalo
General type-2 fuzzy logic
Nonconvex fuzzy sets
Type-2 fuzzy logic
title_short Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
title_full Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
title_fullStr Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
title_full_unstemmed Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
title_sort Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
dc.creator.none.fl_str_mv Ruiz, Gonzalo
Hagras, Hani
Pomares, Héctor
Rojas, Ignacio
Bustince Sola, Humberto
author Ruiz, Gonzalo
author_facet Ruiz, Gonzalo
Hagras, Hani
Pomares, Héctor
Rojas, Ignacio
Bustince Sola, Humberto
author_role author
author2 Hagras, Hani
Pomares, Héctor
Rojas, Ignacio
Bustince Sola, Humberto
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Automática y Computación
Automatika eta Konputazioa
dc.subject.none.fl_str_mv General type-2 fuzzy logic
Nonconvex fuzzy sets
Type-2 fuzzy logic
topic General type-2 fuzzy logic
Nonconvex fuzzy sets
Type-2 fuzzy logic
description In this paper we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be non-convex and/or non-normal type-1 fuzzy sets. These results will be used to derive the join and meet operations of the more general descriptions of interval type-2 fuzzy sets presented in [1], where the secondary grades can be non-convex. Hence, this work will help to explore the potential of type-2 fuzzy logic systems which use the general forms of interval type-2 fuzzy sets which are not equivalent to interval valued fuzzy sets. Several examples for both general type-2 and the more general forms of interval type-2 fuzzy sets are presented.
publishDate 2016
dc.date.none.fl_str_mv 2016
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/2454/32796
url https://hdl.handle.net/2454/32796
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//TIN2013-40765-P
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
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 15,811543

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