论文标题
构造任意维度的强均匀模糊分区
Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions
论文作者
论文摘要
坚固均匀的模糊分区对于基于模糊分区的直方图的准确性是必需的。以前的大多数研究都集中在构建一维强均匀的模糊分区。据我们所知，对于高维情况，很少有报道。为了填补这一理论空缺，本文通过提出一个分析公式来构建任意维度的坚固均匀模糊分区，证明了高维强均匀模糊分区的存在。
Strong-uniform fuzzy partition is necessary for the accuracy of fuzzy partition-based histograms. Most previous research focused on constructing one-dimensional strong-uniform fuzzy partitions. While to the best of our knowledge, few have been reported for high-dimensional cases. In order to fill this theoretical vacancy, this paper proves the existence of high-dimensional strong-uniform fuzzy partitions via proposing an analytic formula to construct strong-uniform fuzzy partitions of arbitrary dimensions.
