Strong law of large numbers for t-normed arithmetics
We prove a strong law of large numbers for sequences of pairwise i.i.d. fuzzy random variables. Addition is given by the extension principle associated with a general continuous triangular norm. Our result includes the SLLN for levelwise sums, obtained when the chosen triangular norm is the minimum. (C) 2007 Published by Elsevier B.V.
strong law of large numbers fuzzy random variable triangular norm random upper semicontinuous function