In this paper, we present a novel theoretical analytical perform further investigation for the exact solvability of relativistic quantum spectrum systems for modified Mie-type potential (m.m.t.) potential is discussed for spin-1/2 particles by means Boopp's shift method instead to solving deformed Dirac equation with star product, in the framework of noncommutativity three dimensional real space (NC:3D-RS). The exact corrections for excited n<^>th states are found straightforwardly for interactions in one-electron atoms by means of the standard perturbation theory. Furthermore, the obtained corrections of energies are depended on four infinitesimal parameter <$ETHETA>, which induced by position-position noncommutativity, in addition to the discreet atomic quantum numbers: <$Ej~=~l Tilde ~symbol С~1 "/" 2>, <$Es~=~symbol С~1 "/" 2,~l Tilde> and <$Em tilde> (the angular momentum quantum number) and we have also shown that, the usual states in ordinary two and three dimensional spaces are canceled and has been replaced by new degenerated <$E2~(2 l Tilde ~+~1)> sub-states in the new quantum symmetries of (NC:3D-RS) and we have also applied our obtained results to the case of modified Krazer-Futes potential.

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