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arXiv · 2201.05441

Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions

Zhi Zeng·Ting Wang
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Abstract

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.

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Zhi Zeng, Ting Wang. 2022-01-13. Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions. https://arxiv.org/abs/2201.05441

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