Fuzzy Sets and Systems
A strong law of large numbers for fuzzy random sets
Fuzzy Sets and Systems
Information Sciences: an International Journal
Convergence of set-valued and fuzzy-valued martingales
Fuzzy Sets and Systems
Decomposition theorems for fuzzy supermartingales and submartingales
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
The laws of large numbers for fuzzy random variables
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Convergence in distribution for level-continuous fuzzy random sets
Fuzzy Sets and Systems
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The purpose of this paper is to prove the convergence theorem for fuzzy martingales without assuming that their values are Lipschitz or continuous fuzzy numbers on Rn. This approach allows us to deduce many results on convergence of fuzzy numbers and fuzzy random variables from the relevant results on real numbers and real-valued random variables that appear as their support functions. Based on the concept of fuzzy downward martingale and applications of convergence theorem of fuzzy martingales, the strong law of large numbers for fuzzy random variables is proved, here the convergence is in the uniform metric but not the separable metric on fuzzy number space.