Geometrical aggregation of finite fuzzy sets

A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.

Detalhes bibliográficos
Autores: Campión Arrastia, María Jesús, García Catalán, Olga Raquel, Induráin Eraso, Esteban, Lizasoain Iriso, María Inmaculada, Raventós Pujol, Armajac, Valero, Óscar
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Recursos:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/33495
Acesso em linha:https://hdl.handle.net/2454/33495
Access Level:acceso abierto
Palavra-chave:Fermat points
Finite fuzzy sets
Geometrical aggregation operators
Interdisciplinary applications
Ordered weighting averaging operators
Outliers
Descrição
Resumo:A fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical methods and discuss possible applications in a multidisciplinary setting.