In this paper, we investigate the effects of the fourth generation of quarks on the double-lepton polarization asymmetries in the ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay. It is shown that most of these asymmetries in ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ are quite sensitive to the fourth-generation parameters. We also compare these asymmetries with those of $B\ensuremath{\rightarrow}K{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay and show that $⟨{P}_{LT}⟩$, $⟨{P}_{TL}⟩$, $⟨{P}_{NN}⟩$, and $⟨{P}_{TT}⟩$ in ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}$ decay are more sensitive to the fourth-generation parameters in comparison with those of $B\ensuremath{\rightarrow}K{\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}$ decay. We conclude that an efficient way to establish the existence of the fourth generation of quarks could be the study of these asymmetries in the ${B}_{s}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decay.
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