A countable set derived by fuzzy set
General Mathematics
2015-10-26 v1
Abstract
In this paper, it shows that for each fuzzy set on , the set is at most countable. Based on this, it modifies the proof of assertion (I) in step 2 of the sufficiency part of Theorem 4.1 in paper: Characterizations of compact sets in fuzzy sets spaces with metric, http://arxiv.org/abs/1509.00447.
Cite
@article{arxiv.1510.06953,
title = {A countable set derived by fuzzy set},
author = {Huan Huang},
journal= {arXiv preprint arXiv:1510.06953},
year = {2015}
}