In many statistical analysis some kind of dependency of random variables may be required, and exchangeability as an alternative to the random sample with independent, identically distributed random variables gives the study of asymptotic properties of random variables. On the other hand, statistical estimators are expressible of the linear form of random variables, which involves possibly random weights and possibly functions of dependent random variables which are permutation invariant with respect to distributions. This paper attempts to provide some properties useful to the limit theorems and laws of large numbers for arrays of Banach spaced valued fuzzy random sets are examined with emphasis on permutation invariance among the random sets. (C) 2001 Elsevier Science Inc. All rights reserved. [References: 38]
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