计算机科学 ›› 2024, Vol. 51 ›› Issue (2): 79-86.doi: 10.11896/jsjkx.221100229
彭小玉, 潘小东, 申涵寒, 何红梅
PENG Xiaoyu, PAN Xiaodong, SHEN Hanhan, HE Hongmei
摘要： 文中讨论了带有不同模糊基函数的模糊系统的逼近问题。首先,基于一维正则模糊划分和重叠函数建立多维正则模糊划分,以划分中的元素为模糊基函数设计模糊系统,应用Weierstrass逼近定理证明了该模糊系统是通用逼近器,给出了模糊系统的逼近误差界。其次,提出了多项式型、指数型和对数型模糊系统,并给出了带有隶属函数参数的逼近误差界。最后,通过数值实验对不同模糊系统的逼近能力进行了比较,实验结果进一步验证了理论分析的正确性。
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