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基于奇异值分解的模糊模型结构分析和精简
引用本文:刘士荣,俞金寿. 基于奇异值分解的模糊模型结构分析和精简[J]. 华东理工大学学报(自然科学版), 2000, 26(1): 77-82
作者姓名:刘士荣  俞金寿
作者单位:华东理工大学自动化研究所,上海,200237
基金项目:国家自然科学基金!资助项目(69874011)
摘    要:研究用矩阵奇异值分解方法分析一类模糊模型的结构、奇异值分布与模糊规则的关系,用模糊规则的累积贡献率指导规则的精简,以求模型的拟合精度和结构简单之间的平衡,从理论分析和仿真研究表明方法的可行性和实用性。

关 键 词:模糊模型 结构分析 奇异值分解 模糊控制
修稿时间:1999-03-25

Fuzzy Model Structure Analysis and Simplification Based on Singular Value Decomposition
LIU Shi-rong,YU Jin-shou. Fuzzy Model Structure Analysis and Simplification Based on Singular Value Decomposition[J]. Journal of East China University of Science and Technology, 2000, 26(1): 77-82
Authors:LIU Shi-rong  YU Jin-shou
Abstract:Using matrix singular value decomposition, the structure of a class of fuzzy models and the relations between singular values and fuzzy rules are studied. A rate of the fuzzy rule accumulative contribution is proposed to guide the process of the fuzzy model simplification in order to reach a balance between model fitting accuracy and model structure simplicity. The theoretical analysis and simulation results show that it is feasible and practicable.
Keywords:fuzzy model  structure analysis  singular value decomposition  rule simplification
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