Title :
On Approximation Capability of Pseudo-linear Shepard Approximation Operators
Author :
Rudas, Imre J. ; Bede, Barnabás ; Nobuhara, Hajime ; Hirota, Kaoru
Author_Institution :
John von Neumann Fac. of Inf., Budapest
Abstract :
Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators but several operations provided by fuzzy logic can be used. In this sense, in the present paper, pseudo-linear approximation operators of Shepard-type are studied from the practical point of view, in function approximation. It is shown that in several cases these outperform classical approximation operators based on sum and product operations.
Keywords :
approximation theory; fuzzy logic; mathematical operators; approximation capability; concrete approximation operators; fuzzy logic; product operations; pseudolinear Shepard approximation operators; Approximation methods; Competitive intelligence; Computational intelligence; Concrete; Function approximation; Fuzzy logic; Informatics; Intelligent systems; Polynomials; Systems engineering and theory;
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
DOI :
10.1109/FUZZY.2006.1681876
