Title :
Max product exponential approximation operators
Author :
Bencsik, Attila ; Bede, Barnabas ; Noje, Dan ; Nobuhara, Hajime ; Hirota, Kaoru
Author_Institution :
Dept. of Mech. & Syst. Eng., Budapest Tech
Abstract :
Max-product exponential approximation operators are introduced and studied. The results show that the usual addition and multiplication used exclusively in approximation theory can be substituted by operations that are provided by fuzzy logic or pseudo-analysis. Jackson-type error estimates are obtained together with Weierstrass-type approximation theorem. Some numerical results are also presented and the results show the effectiveness of the proposed method with respect to the corresponding classical approximation operators
Keywords :
approximation theory; fuzzy logic; Jackson-type error estimation; Weierstrass-type approximation theorem; approximation theory; fuzzy logic; max product exponential approximation operators; pseudo-analysis; Approximation methods; Computational intelligence; Extraterrestrial measurements; Fuzzy control; Fuzzy logic; Fuzzy systems; Interpolation; Mathematics; Polynomials; Systems engineering and theory;
Conference_Titel :
Industrial Electronics, 2006 IEEE International Symposium on
Conference_Location :
Montreal, Que.
Print_ISBN :
1-4244-0496-7
Electronic_ISBN :
1-4244-0497-5
DOI :
10.1109/ISIE.2006.295516
