  By using the Nikiforov-Uvarov method, we give the approximate analytical
solutions of the Dirac equation with the shifted Deng-Fan potential including
the Yukawa-like tensor interaction under the spin and pseudospin symmetry
conditions. After using an improved approximation scheme, we solved the
resulting schr\"{o}dinger-like equation analytically. Numerical results of the
energy eigenvalues are also obtained, as expected, the tensor interaction
removes degeneracies between spin and pseudospin doublets.
