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模糊系统逼近理论的发展现状
引用本文:丁海山,毛剑琴.模糊系统逼近理论的发展现状[J].系统仿真学报,2006,18(8):2061-2066.
作者姓名:丁海山  毛剑琴
作者单位:北京航天航空大学第七研究室,北京,100083
基金项目:国家自然科学基金;国家重点基础研究发展计划(973计划);北京市重点学科建设项目
摘    要:综述了近年来模糊系统逼近理论的主要研究成果,包括Madani型和T-S型模糊系统具有通用逼近性的存在性定理、充分条件和必要条件,以及模糊系统具有通用逼近性的本质。在此基础上,进一步介绍了目前有效的几种模糊系统构造方法:自适应模糊逻辑系统方法、自适应神经模糊推理系统(ANFIS)方法、模糊聚类法、模糊树方法。最后对该理论的未来发展方向给出了分析和展望。

关 键 词:模糊系统  逼近理论  通用逼近性  系统结构
文章编号:1004-731X(2006)08-2061-06
收稿时间:2005-04-19
修稿时间:2006-04-27

Development of Approximation Theory of Fuzzy Systems
DING Hai-shan,MAO Jian-qin.Development of Approximation Theory of Fuzzy Systems[J].Journal of System Simulation,2006,18(8):2061-2066.
Authors:DING Hai-shan  MAO Jian-qin
Institution:Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Abstract:The main results on the approximation theory of fuzzy systems up to date were reviewed and analyzed.These results include existence theorems,sufficient conditions,necessary conditions and the nature on both Madani fuzzy systems and T-S fuzzy systems as function approximators.Moreover several effective approaches of fuzzy systems construction were introduced,including the adaptive-fuzzy-logic-system approach,adaptive-network-based fuzzy system(ANFIS) approach,fuzzy clustering approach and binary linear fuzzy tree structure approach.In the end,some directs of its development were proposed.
Keywords:fuzzy systems  approximation theory  universal approximation  system configuration  
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