Title :
An approach to the functions approximation problems by Mamdani fuzzy system
Author :
Cuong, Bui Cong ; Long, Hoang Viet
Author_Institution :
Inst. of Math., Vietnamese Acad. of Sci. & Technol., Hanoi
Abstract :
In this paper, we introduce a class of piecewise multilinear models for Mamdani fuzzy system and investigate their approximation capabilities to integrable functions with Lp-norm. Specially, by extending fuzzy system to stochastic one, the approximation capability of the stochastic Mamdani system to a class of random processes is analyzed. A result on the approximation of regular function is given showing that fuzzy system may keep their semantic structure while approximating to any degree of accuracy not only sufficiently regular functions, but also their derivatives.
Keywords :
function approximation; fuzzy control; random processes; stochastic processes; Mamdani fuzzy system; functions approximation problems; piecewise multilinear models; random processes; stochastic Mamdani system; Function approximation; Fuzzy systems; Humans; Interpolation; Jacobian matrices; Mathematics; Random processes; Robotics and automation; Stochastic processes; Stochastic systems; Piecewise linear function; piecewise multilinear function; piecewise multilinear interpolation; stochastic fuzzy system;
Conference_Titel :
Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on
Conference_Location :
Hanoi
Print_ISBN :
978-1-4244-2286-9
Electronic_ISBN :
978-1-4244-2287-6
DOI :
10.1109/ICARCV.2008.4795628
