Title : ( A novel data reduction method for Takagi–Sugeno fuzzy system )
Authors: , Alireza Akbarzadeh Tootoonchi ,Abstract
This paper introduces a simple, systematic and effective method for designing Takagi–Sugeno (T–S) fuzzy systems utilizing a significantly smaller training data set versus existingmethods. Creating proper training data is usually not an easy task and requires spending considerable time and resources. The proposed method first uses a three-level factorial design to partition the output space. Next the least square technique is used to estimate each of the partitioned output spaces. The membership functions are introduced with only three variables (min, max and number of membership functions). Fuzzy rules are generated with respect to the partitioned output surfaces and the membership functions. The proposed method is applied to two benchmark problems, controlling an inverted pendulum as well as modeling a nonlinear function. In the case of the inverted pendulum simulation results demonstrate significant improvement. In the case of nonlinear function modeling we demonstrated sufficient accuracy with only 9 training data, which represents 98% reduction in the number of training data compare to other method. Additionally, the proposed method offers extremely low computation time allowing it to be used with adaptive type systems
Keywords
T–S system Design of experiments Factorial design Data reduction Simple design Benchmark problems@article{paperid:1011610,
author = {, and Akbarzadeh Tootoonchi, Alireza},
title = {A novel data reduction method for Takagi–Sugeno fuzzy system},
journal = {Applied Soft Computing},
year = {2009},
volume = {9},
number = {4},
month = {June},
issn = {1568-4946},
pages = {1367--1376},
numpages = {9},
keywords = {T–S system
Design of experiments
Factorial design
Data reduction
Simple design
Benchmark problems},
}
%0 Journal Article
%T A novel data reduction method for Takagi–Sugeno fuzzy system
%A ,
%A Akbarzadeh Tootoonchi, Alireza
%J Applied Soft Computing
%@ 1568-4946
%D 2009