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A countable set derived by fuzzy set

2015/10/19 by Huan Huang, Huang, Huan
Computer Science · Decision Sciences · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #General Mathematics (math.GM) #Optimization and Variational Analysis #math.GM

paper · pdf · doi:10.48550/arxiv.1510.06953

arxiv created 2015/10/19 · openalex publication_date 2015/10/19 · arxiv updated 2015/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, it shows that for each fuzzy set u on ℝm, 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 Lp metric, http://arxiv.org/abs/1509.00447.

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