The quasiparticle random-phase-approximation model is extended toward
restoration of fermion anticommutation relations for quasiparticle ope
rators, beyond the quasi-boson approximation, within the framework of
equation-of-motion method. The restoration of broken symmetries avoids
an unreasonable enhancement of quasiparticle correlations in the grou
nd state, and enables to make more reliable predictions. By the extend
ed model, somewhat larger bounds are deduced on the neutrino mass and
right-handed current parameters, compared to ordinary quasiparticle ca
lculations, for a given half-life limit of the neutrinoless double bet
a decay.