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A Limit Theorem for Weighted Sums of Random Sets in Fuzzy Metric Space
Chang Liu, Li Guan
165 - 171
10.3233/FAIA220381
Research Article
Frontiers in Artificial Intelligence and Applications
Volume 358: Fuzzy Systems and Data Mining VIII
Abstract

Based on the definitions and properties of fuzzy metric for random sets. We considered the limit theory of weighted sums for random sets in the sense of fuzzy metric. The random sets are independent and compactly uniformly integrable, and the weights are more general constants. The convergence is in the sense of fuzzy metric induced by the Hausdorff metric.

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