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| 模糊系统万能逼近理论研究综述 | |
| 引用本文： | 刘福才,陈超,邵慧,裴润.模糊系统万能逼近理论研究综述[J].智能系统学报,2007,2(1):25-34. |
| 作者姓名： | 刘福才 陈超 邵慧 裴润 |
| 作者单位： | 1. 燕山大学,电气工程学院,河北,秦皇岛,066004;哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001 2. 燕山大学,电气工程学院,河北,秦皇岛,066004 3. 哈尔滨工业大学,航天学院,黑龙江,哈尔滨,150001 |
| 基金项目： | 燕山大学博士基金资助项目（B111）. |
| 摘 要： | 模糊系统通用逼近理论是模糊理论研究的一个重要方向．目前，对模糊系统通用逼近性的研究已经取得了很大的进展．对模糊系统的通用逼近性、模糊系统作为通用逼近器的充分条件和必要条件以及模糊系统的逼近精度等方面的研究进行了较为详尽的综述，分析了各种分析方法的主要成果及其特点（包括优点和局限性），并指出了今后模糊系统通用逼近理论研究中有待解决的许多问题． |
| 关 键 词： | 模糊系统的通用逼近性 充分条件 必要条件 逼近精度 |
| 文章编号： | 1673-4785（2007）01-0025-10 |
| 修稿时间： | 2006-07-28 |
Researches for universal approximation of fuzzy systems: a survey |
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| LIU Fu-cai,CHEN Chao,SHA Hui,PEI Run.Researches for universal approximation of fuzzy systems: a survey[J].CAAL Transactions on Intelligent Systems,2007,2(1):25-34. | |
| Authors: | LIU Fu-cai CHEN Chao SHA Hui PEI Run |
| Affiliation: | 1. Department of Automation Engineering, Yanshan University, Qinhuangdao 066004, China; 2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China |
| Abstract: | The universal approximation of fuzzy systems is an important direction of fuzzy theory.At present,a lot of progress has been made in the research for the universal approximation of fuzzy systems.In this paper,a survey of the universal approximation of fuzzy systems,the sufficient and necessary condition for fuzzy systems as universal approximators,and approximation accuracy of fuzzy systems etc is made in details.The achievement and properties(including advantages and disadvantages)of each method are also analyzed,and then the problems of the universal approximation of fuzzy systems in future researches are pointed out further. |
| Keywords: | universal approximation of fuzzy systems sufficient conditions necessary conditions approximation accuracy |
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