The GW170817 binary neutron star merger event in 2017 has raised great interest in the theoretical research f neutron stars.The structure and cooling properties of dark-matter-admixed neutron stars are studied here using relativistic mean field theory and cooling theories.The non-self-annihilating dark matter (DM) component is assumed to be ideal fermions,among which the weak interaction is considered.The results show that pulsars J1614-2230,J0348+0432 and EXO 0748-676 may all contain DM with the particle mass of 0.2-0.4 GeV.However,it is found that the effect of DM on neutron star cooling is complicated.Light DM particles favor the fast cooling of neutron stars,and the case is converse for middle massive DM.However,high massive DM particles,around 1.0GeV,make the low mass (around solar mass) neutron star still undergo direct Urca process of nucleons at the core,which leads the DM-admixed stars cool much more quickly than the normal neutron star,and cannot support the direct Urca process with a mass lower than 1.1 times solar mass.Thus,we may conjecture that if small (around solar mass) and super cold (at least surface temperature 5 10 times lower than that of the usual observed data) pulsars are observed,then the star may contain fermionic DM with weak self-interaction.