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

fYear

2008

fDate

17-20 Dec. 2008

Firstpage

850

Lastpage

855

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 L^p-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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/ICARCV.2008.4795628

Filename

4795628