%0 Journal Article
%T Continuity properties and error propagation of reverse triple-implication method of fuzzy reasoning<br>反向三I算法的连续性和误差传播
%A ZENG Shui-ling
%A YANG Jing-yu
%A XU Wei-hong
%A <br>曾水玲
%A 杨静宇
%A 徐蔚鸿
%J 控制理论与应用
%D 2011
%I 
%X We investigate the continuity properties of the implicit reverse triple-implication algorithm; and discuss in depth the error propagation in this type of algorithm. A fuzzy inference algorithm is viewed as a mapping from one fuzzy set to the other fuzzy set; the distance between them is computed by the Hamming distance formula. We prove that the algorithm holds continuity properties in the case of fuzzy modus ponens and fuzzy modus tollendo ponens. In both cases, the magnification factor for the errors is 2.
%K fuzzy reasoning
%K compositional rule of inference
%K reverse triple-implication method of fuzzy reasoning
%K fuzzy logic<br>模糊推理
%K 模糊关系合成法则
%K 反向三I算法
%K 模糊逻辑
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=CB0C60C560F968BD8FDFDA1863285335&yid=9377ED8094509821&vid=D3E34374A0D77D7F&iid=0B39A22176CE99FB&sid=9F8C5EF901EA1E7E&eid=B4E8EA49DAAEB84F&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=0&reference_num=13