In this study, we first give the definition of ρ-statistical convergence of order (α,β) for sequences of fuzzy numbers. We also define the strongly w(ρ,F,q)-summable of order (α,β) and the strongly w(ρ,F,q,f)-summable of order (α,β), defined by a modulus function f for sequences of fuzzy numbers. Later we give some coverage theorems between these sets and the set S_α^β (ρ,F).