We have demonstrated that an SU(2)(qL) x SU(2)(IL) x U(1)y model inclu
ding S-3 x Z(4) discrete symmetry and appropriate Higgs fields gives r
ise to almost degenerate Majorona neutrino masses of (1-3) eV through
the usual see-saw mechanism due to the introduction of an intermediate
mass scale at which lepton number violation occurs. We have considere
d two different types of discrete symmetry transformations (Type A and
Type B). The hierarchy of neutrino mass obtained due to the Type A tr
ansformation reconciles with the solar and atmospheric neutrino defici
ts whereas the Type B transformation generates an inverted mass hierar
chy of neutrinos which explains the solar and the LSND experimental re
sults. (C) 1997 Elsevier Science B.V.