  A study of the energy behavior of the interferometry radii is carried out for
the RHIC and LHC energies within the hydrokinetic model (HKM). The hydrokinetic
predictions for the HBT radii at LHC energies are compared with the recent
results of the ALICE Collaboration. The role of non-equilibrium and
non-hydrodynamic stage of the matter evolution in formation of the femtoscopy
scales at the LHC energies is analyzed. For this aim we develop the hybrid
hydrokinetic model.
