  A systematic study on $\alpha$-decay half-lives for the nuclei in the range
$93\leq Z \leq 118$ is done by employing various versions of proximity
potentials. To obtain the more reliable results, the deformation terms are
included up to hexadecapole ($\beta_{4}$) in the spherical-deformed nuclear and
Coulomb interaction potentials. The favored $\alpha$-decays process in this
region are categorized as the even-even, odd A, and odd-odd nuclei, first, and
second they are grouped into two parts as a ground state to ground state and
ground state to isomeric states transition. Due to their root-mean-square
deviations (RMSD's) comparison, $Bass 77$ and $Ngo 80$ have the least values
and better compromise in reproducing experimental data. Besides, by considering
preformation probability within the cluster formation model, the results
validate that the significant reduction in root-mean-square deviations has been
obtained for different versions of proximity; Hence detract the deviation
between calculated and experimental data.
