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模糊推理的变权综合算法及其构造的模糊系统响应能力分析
引用本文:张宇卓,李宇成,李洪兴.模糊推理的变权综合算法及其构造的模糊系统响应能力分析[J].模糊系统与数学,2006,20(6):66-72.
作者姓名:张宇卓  李宇成  李洪兴
作者单位:1. 对外经济贸易大学,信息学院,北京,100029
2. 北京师范大学,数学科学学院,北京,100875;北方工业大学,现场总线与自动化北京市重点实验室,北京,100041
3. 北京师范大学,数学科学学院,北京,100875
基金项目:国家自然科学基金资助项目(60174013,60474023),教育部博士点基金资助项目(20020027013),教育部科学技术重点项目(03184),北京市重点实验室资助项目,973国家重点基础研究发展规划基金资助项目(2002CB312200)
摘    要:将变权综合原理应用于模糊推理,提出一种新的模糊推理算法-变权综合推理算法,并给出利用模糊蕴涵算子确定规则变权的方法。证明了由一些正常蕴涵算子如Lukasiewicz蕴涵、Goguen蕴涵、Godel蕴涵、Dubois-Prade蕴涵等确定的变权综合算法是相容的。进一步分析了该变权综合算法构造的模糊系统的响应能力,结果表明:基于这些正常蕴涵算子的变权综合算法构造的模糊系统具有泛逼近性。

关 键 词:模糊系统  变权综合推理算法  CRI算法  模糊蕴涵算子  正常蕴涵算子  泛逼近性
文章编号:1001-7402(2006)06-00-07
收稿时间:2005-09-05
修稿时间:2005年9月5日

Variable Weighted Synthesis Method for Fuzzy Inference and Analysis of Response Ability of the Constructed Fuzzy Systems
ZHANG Yu-zhuo,LI Yu-cheng,LI Hong-xing.Variable Weighted Synthesis Method for Fuzzy Inference and Analysis of Response Ability of the Constructed Fuzzy Systems[J].Fuzzy Systems and Mathematics,2006,20(6):66-72.
Authors:ZHANG Yu-zhuo  LI Yu-cheng  LI Hong-xing
Institution:1. School of Information Technology,University of International Business and Economics,Beijing 100029,China; 2. School of Mathematical Sciences,Beijing Normal University,Beijing 100875 ,China; 3. The Beijing Key Laboratory of Field Bus and Automatic,North China University of Technology,Beijing 100041 ,China
Abstract:The principle of variable weighted synthesis is applied to fuzzy inference and a new fuzzy inference method called variable weighted synthesis inference method is introduced, and a construction approach of variable weights of rules by fuzzy implication operators is proposed. It is proved that the inference algorithms based on some normal implication operators are consistent, and the fuzzy systems constructed by these algorithms are universal approximators.
Keywords:Fuzzy Systems  Variable Weighted Synthesis Inference Method  CRI Algorithm  Fuzzy Implication Operator  Normal Implication Operator  Universal Approximation Property
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