As a continuation of our previously published works, we study the influence of the distance range between the YBa-core and CuO-shell on the superconducting properties of the YBCO by an Ising model within the effective-field theory. We observe that the superconducting properties of the Y, Ba and YBa-core strongly depend on the distance range between the YBa-core and CuO-shell. Y, Ba and the YBa-core exhibit the non-superconducting (NSC), semi-superconducting (SSC) and full-superconducting (FSC), namely the type II superconductor, for the certain distance ranges between the YBa-core and CuO-shell. It is also obtained that there is a strong relationship between the superconducting properties and magnetic saturation. In particular, when the magnetic saturations are stable, the NSC appears, when the magnetic saturations begin to decrease the SSC begins to appear and when the magnetic saturations decrease from +1 to -1 (or from -1 to + 1), the FSC shows up.