  The influence of the scalar unparticle and anomalous couplings at muon
colliders in final states with multiple photons in the Randall-Sundrum model is
evaluated in detail. The results indicate that with fixed collision energies,
the total cross-sections for the production of multiple photons depend strongly
on the polarization of the muon beams, the parameters of unparticle physics
(the scaling dimension $d_{U}$, operator $\mathcal{O}_{U}$, the energy scale
$\Lambda_{U}$) and also the strength of anomalous couplings. Numerical
evaluation shows that the cross-sections for the production of four photons in
finale states with the contribution of scalar anomalous couplings are much
larger than that of the unparticle under the same conditions. In the
Higgs-radion mixing, the cross sections achieve the maximum value at the
radion-dominated state, $m_{\phi} = 125$ GeV, in which the cross-section is
much enhanced and can be measurable in current experiments.
