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Completeness of the Fuzzy Order on Fuzzy Numbers

Xie, Mingchun
arXiv (OAI Expanded) · Papers
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general-mathematics
This paper investigates the completeness properties of the fuzzy order on the fuzzy number space $\mathbb{E}^1$ within the framework of $[0,1]$-enriched categories. \(S\)-convergence under the three fundamental continuous t-norms is characterized, and inclusion relations among the induced open ball
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