DOI: 10.68381/jca20053 ISSN: 0944-6532

SLLN for Double Array of Mixing Dependence Random Sets and Fuzzy Random Sets in a Separable Banach Space

Nguyen Van Quang, Duong Xuan Giap

We state several convergence results on Painlevé-Kuratowski-Mosco convergence of strong laws of large numbers for double array of

\varphi(\varphi^*) φ ( φ ∗ )
-mixing dependence random sets or fuzzy random sets in a separable Banach space. We also obtain the SLLN for double array of
\varphi(\varphi^*) φ ( φ ∗ )
-mixing random sets in Wijsman sense. Some related results in the literature are extended. Illustrative examples are provided.