Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
Fecha
2016Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1109/TFUZZ.2015.2489242
Resumen
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. H ...
[++]
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. [--]
Materias
General type-2 fuzzy logic,
Nonconvex fuzzy sets,
Type-2 fuzzy logic
Editor
IEEE
Publicado en
IEEE Transactions on Fuzzy Systems, vol. 24, no. 4, August 2016
Departamento
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila
Versión del editor
Entidades Financiadoras
This work was supported in part by the Spanish Ministry of Science and Technology under project TIN2013-40765-P