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arXiv · 1510.06953

A countable set derived by fuzzy set

Huan Huang
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Abstract

In this paper, it shows that for each fuzzy set $u$ on $\mathbb{R}^m$, the set $D(u)$ 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 $L_p$ metric, http://arxiv.org/abs/1509.00447.

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Huan Huang. 2015-10-19. A countable set derived by fuzzy set. https://arxiv.org/abs/1510.06953

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