Type-2 fuzzy entropy-sets
Fecha
2017Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1109/TFUZZ.2016.2593497
Resumen
The final goal of this study is to adapt the concept
of fuzzy entropy of De Luca and Termini to deal with Type-2
Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set.
However, the construction of the notion of entropy measure on
an infinite set, such us [0, 1], is not effortless. For this reason,
we first introduce the concept of quasi-entropy of a Fuzzy Set
on the universe [0, 1]. F ...
[++]
The final goal of this study is to adapt the concept
of fuzzy entropy of De Luca and Termini to deal with Type-2
Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set.
However, the construction of the notion of entropy measure on
an infinite set, such us [0, 1], is not effortless. For this reason,
we first introduce the concept of quasi-entropy of a Fuzzy Set
on the universe [0, 1]. Furthermore, whenever the membership
function of the considered Fuzzy Set in the universe [0, 1] is
continuous, we prove that the quasi-entropy of that set is a fuzzy
entropy in the sense of De Luca y Termini. Finally, we present
an illustrative example where we use Type-2 Fuzzy Entropy-Sets
instead of fuzzy entropies in a classical fuzzy algorithm. [--]
Materias
Type-2 fuzzy sets,
Quasi-entropy measure,
Entropy measure
Editor
IEEE
Publicado en
IEEE Transactions on Fuzzy Systems, vol. 25, no. 4, pp. 993-1005, Aug. 2017
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 by the Research Service of Universidad Publica
de Navarra as well as by the projects TIN2013-40765-P and TIN2012-32482 of
the Spanish Ministry of Science and by the Brazilian funding agencies CNPq
(under Proc. No. 480832/2011-0 and No. 307681/2012-2) and CAPES (under
Proc. No. 5778/2014-00).