Relations of endograph metric and Γ-convergence on fuzzy sets

2022/08/13 by Huan Huang, Huang, Huan
Decision Sciences · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy Systems and Optimization #Fuzzy and Soft Set Theory #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.2208.07848

openalex publication_date 2022/08/13 · openalex created_date 2022/08/18 · openalex updated_date 2026/07/28

Abstract

This paper shows that the endograph metric and the Γ-convergence are compatible on a large class of fuzzy set in ℝ^m.

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• Characterizations of endograph metric and Γ-convergence on fuzzy sets
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• Properties of several metric spaces of fuzzy sets
• Convergence, Strong Law of Large Numbers, and Measurement Theory in the Language of Fuzzy Variables