  We study a radiative seesaw model at one-loop level with a flavor dependent
gauge symmetry $U(1)_{\mu-\tau}$, in which we consider bosonic dark matter. We
also analyze the constraints from lepton flavor violations, muon $g-2$, relic
density of dark matter, and collider physics, and carry out numerical analysis
to search for allowed parameter region which satisfy all the constraints and to
investigate some predictions. Furthermore we find that a simple but adhoc
hypothesis induces specific two zero texture with inverse mass matrix, which
provides us several predictions such as a specific pattern of Dirac CP phase.
