Elsevier

Fuzzy Sets and Systems

Volume 44, Issue 1, 5 November 1991, Pages 71-82
Fuzzy Sets and Systems

Ergodic theorems for random compact sets and fuzzy variables in Banach spaces

https://doi.org/10.1016/0165-0114(91)90034-NGet rights and content

Abstract

The individual ergodic theorem is proved in two cases; first for compact set-valued random variable in a Banach space H of type p,p > 1; second for a random variable having values in the family of all fuzzy subsets of H. The set representation of fuzzy subsets is used. Three types of convergence of fuzzy variables are considered.

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