利用模糊集的平移，研究了模糊仿射空间和模糊向量子空间的相互关系。
The relations of a fuzzy affine space and a fuzzy subspace are investigated by using a translation of fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
该算法将图像模糊集作为特征空间，尝试了在模糊域中采用3层前向神经网络搜索算法进行精确寻优的方法。
Image fuzzy sets are taken as feature space, and the exact positions are optimized by using 3 layers forward neural network algorithm.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
The concept of closed fuzzy set is introduced in topological linear space. It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
为了描述空间数据的模糊性，把模糊集理论引入GIS，以加强GIS对模糊现象建模的能力，因而产生了模糊数据。
In order to enhance the ability of modeling fuzzy phenomena, the fuzzy set theory is introduced into GIS, which produces fuzzy spatial data.
为了描述空间数据的模糊性，把模糊集理论引入GIS，以加强GIS对模糊现象建模的能力，因而产生了模糊数据。
In order to enhance the ability of modeling fuzzy phenomena, the fuzzy set theory is introduced into GIS, which produces fuzzy spatial data.
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