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概述了模糊、神经网络和人工智能技术之间的关系，重点探讨了模糊和神经网络的特点；综合并分析了模糊系统和神经网络的结合方式，其中包括两种系统的串、并联结合方式，基于神经网络的自适应模糊系统和基于模糊系统的神经网络模型等；此外，还就模糊系统和神经网络系统的输出，从定量角度讨论了模糊系统和神经网络的功能等价性，并给出了相应的定理和证明。
The relationship between fuzzy neural network and artificial intelligence technology is summarized. The characteristics of fuzzy and neural network are discussed emphatically. The combination of fuzzy system and neural network is comprehensively analyzed, including the combination of the two systems in series and in parallel, Adaptive fuzzy system based on neural network, and neural network model based on fuzzy system. In addition, the functional equivalence of fuzzy system and neural network is discussed quantitatively from the perspectives of fuzzy system and neural network system. The corresponding theorem and proof.