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...
| Autores: | , , , , |
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| 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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oai:academica-e.unavarra.es:2454/32796 |
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Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships Ruiz, Gonzalo Hagras, Hani Pomares, Héctor Rojas, Ignacio Bustince Sola, Humberto General type-2 fuzzy logic Nonconvex fuzzy sets Type-2 fuzzy logic 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. This work was supported in part by the Spanish Ministry of Science and Technology under project TIN2013-40765-P IEEE https://hdl.handle.net/2454/32796 |
| 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 |
| 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 |
| topic |
General type-2 fuzzy logic Nonconvex fuzzy sets Type-2 fuzzy logic |
| topic_facet |
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 |
| format |
article |
| status_str |
acceptedVersion |
| url |
https://hdl.handle.net/2454/32796 |
| eu_rights_str_mv |
openAccess |
| publisher |
IEEE |
| institution |
Universidad Pública de Navarra |
| collection |
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra |
| reponame_str |
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra |
| instname_str |
Universidad Pública de Navarra |
| _version_ |
1878440579917938688 |
| publishDateSort |
2016 |
| author_browse |
Bustince Sola, Humberto Hagras, Hani Pomares, Héctor Rojas, Ignacio Ruiz, Gonzalo |
| publisherStr |
IEEE |
| score |
6,9303427 |