LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES
Copyright policy )LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES
In this paper, we shall present weak and strong laws of large numbers (WLLN's and SLLN's) for weighted sums of independent (not necessarily identically distributed) fuzzy set-valued random variables in the sense of the extended Hausdorff metric [Formula: see text], based on the result of set-valued random variable obtained by Taylor and Inoue32,33. This work is a continuation of Li and Ogura20.
- Beijing University of Technology China (People's Republic of)
Strong limit theorems, distributions of weighted sums, random fuzzy sets, Probability theory on algebraic and topological structures, laws of large numbers, fuzzy random variables
Strong limit theorems, distributions of weighted sums, random fuzzy sets, Probability theory on algebraic and topological structures, laws of large numbers, fuzzy random variables
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