电子学报2017，Vol.45Issue(5)：1158-1164,7.DOI:10.3969/j.issn.0372-2112.2017.05.019
基于调控参数建模的混合模糊系统的逼近分析
Approximation Analysis of the Hybrid Fuzzy System Based onthe Modeling of a Control Parameter
摘要
Abstract
A fuzzy system describes hunman language information by fuzzy rules,it is an important tool to deal with the uncertain information.Mamdani fuzzy system and Takagi-Sugeno (T-S) fuzzy system are two kinds of common systems.Firstly,the two types of systems are unified by introducing a control parameter so as to establish a generalized hybrid fuzzy system in this paper.Secondly,the hybrid fuzzy system can approximate to a continuous differentiable function with respect to infinite norm through Taylor formula with Peano remainder term of multivariate function,and certify that this system also has the second order approximation accuracy by means of Hessian matrix in Lagrange remainder term.Finally,the results show that the approximation effect of the hybrid fuzzy system based on the modeling of control parameters is better than the separate Mamdani or T-S fuzzy system by choosing sample points analysis.关键词
Mamdani模糊系统/T-S模糊系统/混合模糊系统/调控参数/连续可微函数/逼近性Key words
Mamdani fuzzy system/T-S fuzzy system/hybrid fuzzy system/control parameter/continuously differentiable function/approximation分类
信息技术与安全科学引用本文复制引用
董文强,王贵君..基于调控参数建模的混合模糊系统的逼近分析[J].电子学报,2017,45(5):1158-1164,7.基金项目
国家自然科学基金(No.61374009) （No.61374009）
