Probability density function and fuzzy system based on a set of input - output data

Author

Wang, Yun-tao ; Yuan, Xue-hai ; Li, Hong-xing

Author_Institution

Sch. of Electron. & Inf. Eng., Dalian Univ. of Technol., Dalian, China

fYear

2010

Firstpage

3820

Lastpage

3824

Abstract

Based on a set of input - output data, we first build a joint probability density function of certain two-dimensional random variables utilizing fuzzy inference rules, then propose its marginal probability density function and numerical characteristics. Finally, it is pointed out that the fuzzy system constructed with center of gravity defuzzifier is a regression function in the sense of probability theory and has the first-order approximation accuracy.

Keywords

approximation theory; fuzzy control; fuzzy reasoning; fuzzy systems; probability; regression analysis; first-order approximation accuracy; fuzzy inference rules; fuzzy system; gravity defuzzifier; input-output data; marginal probability density function; numerical characteristics; probability theory; regression function; two-dimensional random variables; Approximation methods; Density functional theory; Fuzzy control; Gravity; Joints; Probability density function; fuzzy inference; fuzzy system; numerical characteristics; probability distribution; universal approximations;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5554990

Filename

5554990