Q-rung　orthopair　fuzzy　(q-ROF)　set　is　one　of　the　powerful　tools　for　handling　the　uncertain　multi-criteria　decision-making　(MCDM)　problems,　various　MCDM　methods　under　q-ROF　environment　have　been　developed　in　recent　years.　However,　most　existing　studies　merely　concerned　about　the　relationship　between　the　criteria　but　they　have　not　investigated　the　interactions　between　membership　function　and　non-membership　function.　To　explore　the　multiple　heterogeneous　relationships　among　membership　functions　and　criteria,　we　propose　a　novel　decision　algorithm　based　on　q-ROF　set　to　deal　with　these　using　interactive　operators　and　Maclaurin　symmetric　mean　(MSM)　operators.　Specifically,　the　new　interaction　laws　in　the　membership　pairs　of　q-ROF　sets　are　explained,　and　their　properties　are　analyzed　as　the　initial　stage.　Then,　taking　into　account　the　influence　of　two　or　more　factors　on　decision　analysis,　a　q-ROF　interaction　Maclaurin　symmetry　mean　(q-ROFIMSM)　operator　is　formed　based　on　the　proposed　interaction　law　to　identify　these　factors＇　interrelationship.　Thirdly,　based　on　the　proposed　operator　with　q-ROF　information,　a　MCDM　algorithm　is　developed　and　illustrated　by　numerical　examples.　An　analysis　of　the　feasibility,　sensitivity,　and　superiority　of　the　proposed　framework　is　provided　to　validate　our　proposed　method.