  A see-saw scenario for an $A_4$ flavour symmetric standard model is
presented. The latter, compared with the standard model, has an extended field
content adopting now an additional $A_4$ symmetry structure (along with the
standard model symmetry). As before, the see-saw mechanism can be realized in
several models of different types depending on different ways of neutrino mass
generation corresponding to the introduction of new (heavy in general) fields
with different symmetry structures. In the present paper, a general description
of all these see-saw types is made with a more detailed investigation on type-I
models, while for type-II and type-III models a similar strategy can be
followed. As within the original see-saw mechanism, the symmetry structure of
the standard model fields decides the number and the symmetry structure of the
new fields. In a model considered here, the scalar sector consists of three
standard-model-Higgs-like iso-doublets ($SU_L(2)$-doublets) forming together an
$A_4$-triplet, and three iso-singlets transforming as three singlets (1,$1^{'}$
and $1^{''}$) of $A_4$. In the lepton sector, the three left-handed lepton
iso-doublets form an $A_4$-triplet, while the three right-handed charged
leptons are either $A_4$-singlets in one version of the model, or components of
an $A_4$-triplet in another version. To generate neutrino masses through, say,
the type-I see-saw mechanism, it is natural to add four right-handed neutrino
multiplets, including one $A_4$-triplet and three $A_4$-singlets. For an
interpretation, the model is applied to deriving some physics quantities such
as neutrinoless double beta decay effective mass $|\langle m_{ee}\rangle|$, CP
violation phase $\delta_{CP}$ and Jarlskog parameter $J_{CP}$, which can be
verified experimentally.
