In　this　paper,　a　two-way　relay　system　which　achieves　bi-directional　communication　via　a　multiple-antenna　relay　in　two　time　slots　is　studied.　In　the　multiple　access　(MA)　phase,　the　novel　receive　schemes　based　on　Dempster-Shafer　(D-S)　evidence　theory　are　proposed　at　the　relay　node.　Instead　of　traditional　linear　detection,　the　first　proposed　MIMO-DS　NC　scheme　adopts　D-S　evidence　theory　to　detect　the　signals　of　each　source　node　before　mapping　them　into　network-coded　signal.　Moreover,　different　from　traditional　physical-layer　network　coding　(PNC)　based　on　virtual　MIMO　model,　the　further　proposed　MIMO-DS　PNC　comes　from　the　vector　space　perspective　and　combines　PNC　mapping　with　D-S　theory　to　obtain　network-coded　signal　without　estimating　each　source　node　signal.　D-S　theory　can　appropriately　characterize　uncertainty　and　make　full　use　of　multiple　evidence　source　information　by　Dempster＇s　combination　rule　to　obtain　reliable　decisions.　In　the　broadcast　(BC)　phase,　the　space-time　coding　(STC)　and　antenna　selection　(AS)　schemes　are　adopted　to　achieve　transmit　diversity.　Simulation　results　reveal　that　the　STC　and　AS　schemes　both　achieve　full　transmit　diversity.　in　the　BC　phase　and　the　proposed　MIMO-DS　NC/PNC　schemes　obtain　better　end-to-end　BER　performance　and　throughputs　compared　with　traditional　schemes　with　a　little　complexity　increasing　and　no　matter　which　scheme　is　adopted　in　the　BC　phase,　MIMO-DS　PNC　always　achieves　full　end-to-end　diversity　gain　as　MIMO-ML　NC　but　with　a　lower　complexity　and　its　throughput　approaches　the　throughput　of　MIMO-ML　NC　in　high　SNR　regime.