Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions
General Mathematics
2022-01-17 v1
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.
Keywords
Cite
@article{arxiv.2201.05441,
title = {Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions},
author = {Zhi Zeng and Ting Wang},
journal= {arXiv preprint arXiv:2201.05441},
year = {2022}
}