Negative Dependence for Fuzzy Random Variables: Basic Definitions and Some Limit Theorems

H. Ahmadzade, M. Amini, S. M. Taheri, A. Bozorgnia

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.