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为提高模糊系统的逼近精度及扩大基函数的选择范围,定义了论域的正规二次多项式模糊划分.在标准模糊系统的基础上,提出以正规二次多项式为基函数的一类模糊系统;通过采用数值分析中的余项与辅助函数方法,对该类模糊系统进行了逼近误差精度的理论分析,给出了从SISO到MISO的一阶和准二阶误差逼近精度公式;指出该系统逼近精度公式使用的约束条件及应注意的问题.
In order to improve the approximation accuracy of the fuzzy system and expand the range of the choice of basis functions, a formal quadratic polynomial fuzzy partition of the domain is defined.On the basis of the standard fuzzy system, a fuzzy system based on the normal quadratic polynomial is proposed. By using the residuals and auxiliary functions in numerical analysis, this paper gives a theoretical analysis of the approximation error precision of this type of fuzzy system, and gives the formulas of first-order and second-order error approximation accuracy from SISO to MISO. The Constraints Used by Accuracy Formulas and Problems to Be Noticed.