Spline approximation for Zadeh's extensions

Y. Chalco-Cano; M. T. Misukoshi; H. Roán-Flores; A. Flores-Franulic

doi:10.1142/S0218488509005851

Spline approximation for Zadeh's extensions

Y. Chalco-Cano
, M. T. Misukoshi
, H. Roán-Flores
, A. Flores-Franulic

Departamento de Matemática

Universidade Federal de Goiás
Universidad de Tarapacá

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

13 Citas (Scopus)

Resumen

In this paper we show an approximation for $\hat f(u)$, where u is a fuzzy interval and $\hat f$ is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f. A bound for the error in the approximation is given. Also, some examples are presented.

Idioma original	Inglés
Páginas (desde-hasta)	269-280
Número de páginas	12
Publicación	International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems
Volumen	17
N.º	2
DOI	https://doi.org/10.1142/S0218488509005851
Estado	Publicada - abr 2009

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title = "Spline approximation for Zadeh's extensions",

abstract = "In this paper we show an approximation for \$\textbackslash{}hat f(u)\$, where u is a fuzzy interval and \$\textbackslash{}hat f\$ is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f. A bound for the error in the approximation is given. Also, some examples are presented.",

keywords = "Fuzzy sets, Spline functions, Zadeh's extension principle",

author = "Y. Chalco-Cano and Misukoshi, \{M. T.\} and H. Ro{\'a}n-Flores and A. Flores-Franulic",

year = "2009",

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language = "English",

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AU - Chalco-Cano, Y.

AU - Misukoshi, M. T.

AU - Roán-Flores, H.

AU - Flores-Franulic, A.

PY - 2009/4

Y1 - 2009/4

N2 - In this paper we show an approximation for $\hat f(u)$, where u is a fuzzy interval and $\hat f$ is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f. A bound for the error in the approximation is given. Also, some examples are presented.

AB - In this paper we show an approximation for $\hat f(u)$, where u is a fuzzy interval and $\hat f$ is obtained from a continuous function f applying the Zadeh's extension principle. In this process, we used a decomposition for u and the linear spline function for the approximation of f. A bound for the error in the approximation is given. Also, some examples are presented.

KW - Fuzzy sets

KW - Spline functions

KW - Zadeh's extension principle

UR - https://www.scopus.com/pages/publications/65249189304

U2 - 10.1142/S0218488509005851

DO - 10.1142/S0218488509005851

M3 - Article

AN - SCOPUS:65249189304

SN - 0218-4885

VL - 17

SP - 269

EP - 280

JO - International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

JF - International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

IS - 2

ER -

Spline approximation for Zadeh's extensions

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