TY - JOUR
T1 - Spline approximation for Zadeh's extensions
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 -