  In our previous studies (see [1] and references therein) we developed a new
theoretical framework that enabled one to consider a new mechanism of neutrino
quantum decoherence engendered by the neutrino radiative decay. In parallel,
another framework was developed (see [2] and references therein) for the
description of the neutrino quantum decoherence due to the non-forward neutrino
scattering processes. Both mechanisms are described by the master equations in
the Lindblad form.
  We study the influence of the neutrino quantum decoherence on collective
neutrino oscillations. In the present studies we are are not interested in a
specific mechanism of neutrino quantum decoherence. Therefore, we use the
general Lindblad master equation for the description of the neutrino quantum
decoherence and do not fix an analytical expressions for the decoherence and
relaxation parameters.
