Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: towards a wider view on their relationship

In this paper, we will present a wider view on the relationship between interval-valued fuzzy sets and interval type- 2 fuzzy sets where we will show that interval-valued fuzzy sets are a particular case of the interval type-2 fuzzy sets. For this reason, both concepts should be treated in a differe...

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Detalles Bibliográficos
Autores: Bustince Sola, Humberto, Fernández Fernández, Francisco Javier, Hagras, Hani, Herrera, Francisco, Pagola Barrio, Miguel, Barrenechea Tartas, Edurne
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2015
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:2454/32793
Acceso en línea:https://hdl.handle.net/2454/32793
Access Level:acceso abierto
Palabra clave:Interval-valued fuzzy sets
Interval type-2 fuzzy sets
Type-2 fuzzy sets
Descripción
Sumario:In this paper, we will present a wider view on the relationship between interval-valued fuzzy sets and interval type- 2 fuzzy sets where we will show that interval-valued fuzzy sets are a particular case of the interval type-2 fuzzy sets. For this reason, both concepts should be treated in a different way. In addition, the view presented in this paper will allow a more general perspective of interval type-2 fuzzy sets which will allow representing concepts which could not be presented by intervalvalued fuzzy sets.