基于奇异值分解的模糊模型结构分析和精简
Fuzzy Model Structure Analysis and Simplification Based on Singular Value Decomposition
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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。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.