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中文摘要：
本文对空间分布系统提出了一种新的模糊建模方法.首先,在3-D模糊集的基础上给出一种改进的空间模糊集,包含了传统的模糊集和添加的一维空间信息.在空间轴方向上,将传统模糊隶属度函数沿输入变量的随空间的物理变化曲线进行扩展,通过隶属度的连续变化描述输入变量在空间中的变化.其次,基于空间模糊集,采用Mamdani模糊模型形式,设计了对空间分布系统的空间模糊模型的建模方法.最后,通过仿真算例对方法进行了验证.
英文摘要：
A new fuzzy modeling method is proposed for spatial parameter systems.First,On the basis of the 3-D fuzzy set,we propose an improved spatial fuzzy set consisting of a traditional fuzzy set and an additional dimension for spatial information.On the spatial axis,the traditional fuzzy membership function is extended along the spatial physical variation curve of the input variables,thus,the spatial variation of the input variable is described by the continuous variation of the membership function.Secondly,on the basis of the spatial fuzzy set,we make use of the spatial Mamdani fuzzy modeling format to develop a modeling method for building the fuzzy model of the spatial parameter system.The simulation verifies the effectiveness of this method.
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