Road　side　units　(RSUs)　can　act　as　fog　nodes　to　perform　data　aggregation　at　the　edge　of　network,　which　can　reduce　communication　overhead　and　improve　the　utilization　of　network　resources.　However,　because　the　RSU　is　public　infrastructure,　this　feature　may　bring　data　security　and　privacy　risks　in　data　aggregation.　In　this　paper,　we　propose　a　secure　multi-subinterval　data　aggregation　scheme,　named　SMDA,　with　interval　privacy　preservation　for　vehicle　sensing　systems.　Specifically,　our　scheme　combines　the　1-R　encoding　theory　and　proxy　re-encryption　to　protect　interval　privacy,　this　can　ensure　that　the　interval　information　is　only　known　by　the　data　center,　and　the　RSU　can　classify　the　encrypted　data　without　knowing　the　plaintext　of　the　data　and　interval　information.　Meanwhile,　our　scheme　employs　the　Paillier　homomorphic　encryption　to　accomplish　data　aggregation　at　the　RSU,　and　the　Identity-based　batch　authentication　technology　to　solve　authentication　and　data　integrity.　Finally,　the　security　analysis　and　performance　evaluations　illustrate　the　safety　and　efficiency　of　our　scheme.