The evolution of the entropic uncertainty for three types of atomic systems: (a) and (d) for the Ξ-type atomic systems; (b) and (e) for the V-type atomic systems; (c) and (f) for the Λ-type atomic systems under the non-Markovian RTN in both the independent environments case [(a), (b), (c)] and the common environments case [(d), (e), (f)] for fixed values of relative interaction strength g.