Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise αβ-statistical convergence of fuzzy mappings of order γ. Also, we establish the concept of strongly αβ-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to αβ-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.