%0 Journal Article
%T Generalized hierarchical hybrid fuzzy system and its universal approximation<br>广义分层混合模糊系统及其泛逼近性
%A WANG Gui-jun
%A DUAN Chen-xia
%A <br>王贵君
%A 段晨霞
%J 控制理论与应用
%D 2012
%I 
%X To avoid the rule-explosion in the fuzzy system, we introduce a real-number and unify the Mamdani fuzzy system and the T--S fuzzy system to build a generalized hierarchical hybrid fuzzy system, and derive its mathematical representation. Because of the good properties of square-piecewise linear functions, this type of fuzzy system still possesses the universal approximation ability in the sense of integral norm. Simulation in an example shows that the generalized hierarchical hybrid fuzzy system can avoid the rule-explosion problem.
%K square-piecewise linear function
%K generalized hierarchical hybrid fuzzy system
%K integral norm
%K universal approximation<br>方形分片线性函数
%K 广义分层混合模糊系统
%K 积分模
%K 泛逼近性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=AB480754FB5F26FEA11B85A41483AB09&yid=99E9153A83D4CB11&vid=771469D9D58C34FF&iid=94C357A881DFC066&sid=B28C697BC3A1BA62&eid=34D13857B558254E&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=0