  In this paper we propose a radiated linear seesaw model where the naturally
small term $\mu_{L}$ are generated at one-loop level and its soft-breaking of
lepton number symmetry attributes to the spontaneous breaking(SSB) of B-L gauge
symmetry. The value of $B-L$ charges for new particles are assigned to satisfy
the anomalies cancelation. It is founded that some new particles may have
exotic values of $B-L$ charge such that there exists residual $Z_{2}\times
Z_{2}^{\prime}$ symmetry even after SSB of $B-L$ gauge symmetry. The
$Z_{2}\times Z_{2}^{\prime}$ discrete symmetry stabilizes the these particles
as dark matter candidates. In the model, two classes of inert fermions and
scalars with different $B-L$ charges are introduced, leading to two-component
dark matter candidates. The lepton flavor violation processes, the relic
density of dark matter, the direct detection of dark matter and the
phenomenology at LHC are investigated.
