%0 Journal Article
%T On Approaching Precisions of Standard Fuzzy Systems with Different Basic Functions<br>关于具有不同基函数的标准模糊系统逼近问题的研究
%A CHEN Gang
%A <br>陈刚
%J 自动化学报
%D 2008
%I 
%X The paper establishes the standard fuzzy systems with partition of normal quadratic polynomial membership func- tions and normal trigonometric membership functions.The comparison problems of fuzzy system with normal triangle mem- bership functions and the two fuzzy systems are put forward. Based on above standard fuzzy systems,approximation error bounds are discussed by interpolation theory.Universal approx- imation error bounds of these fuzzy systems from SISO to MISO are given and their relations are established.The paper employs error remainder term and auxiliary function in the proving pro- cess for the first time.Moreover,advantages and shortcomings of these fuzzy systems are compared and correlative conclusions are obtained.At last,computing examples are given and the validity of the conclusions is confirmed.
%K Standard fuzzy systems
%K fuzzy partition
%K fuzzy basic functions
%K approaching error bounds<br>标准模糊系统
%K 模糊划分
%K 模糊基函数
%K 副近误差界
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=EF16CA34F98623A7F092F253A00C6511&yid=67289AFF6305E306&vid=339D79302DF62549&iid=DF92D298D3FF1E6E&sid=CE504F5B1E192581&eid=AC3946AB81989513&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=24