两类模糊推理算法的连续性和逼近性徐蔚鸿.pdfVIP

DOI:10.13328/ki.jos.2004.10.008 1000-9825/2004/15( 10) 1485 ©2004 Journal of Software 软 件 学 报 Vol.15, No.10 两类模糊推理算法的连续性和逼近性 1,2,3+ 2 3 3 徐蔚鸿 , 谢中科 , 杨静宇 , 叶有培 1(吉首大学 数学与计算机科学学院,湖南 吉首 416000) 2(长沙理工大学 计算机与通信工程学院,湖南 长沙 410077) 3(南京理工大学 计算机科学与技术系,江苏 南京 210094) Continuity and Approximation Properties of Two Classes of Algorithms for Fuzzy Inference 1,2,3+ 2 3 3 XU Wei-Hong , XIE Zhong-Ke , YANG Jing-Yu , YE You-Pei 1(College of Mathematics and Computer Science, Jishou University, Jishou 416000, China) 2(College of Computer and Communications Engineering, Changsha University of Science and Technology, Changsha 410077, China) 3(Department of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, China) + Corresponding author: Phn: +86-731-2618996, Fax: +86-731-2295315, E-mail: xwhxd@163.com, Received 2003-07-28; Accepted 2004-01-08 Xu WH, Xie ZK, Yang JY, Ye YP. Continuity and approximation properties of two classes of algorithms for fuzzy inference. Journal of Software, 2004,15(10):1485~1492. /1000-9825/15/ 1485.htm Abstract: The authors investigate carefully whether or not two classes of inference algorithms, which are Compositional Rule of Inference (CRI) proposed by L.A.Zadeh and Triple-Implication algorithm (Triple-I) proposed lately, hold the continuity and approximation properties, and moreover, also how the approximation errors are propagated by them. Therefore, a fuzzy inference algorithm is viewed as a