With　the　increase　of　the　global　population　and　the　improvement　of　people＇s　living　standards,　the　output　of　garbage　generated　by　human　activities　is　also　increasing　day　by　day.　Choosing　an　appropriate　garbage　disposal　site　is　one　of　the　key　links　for　the　harmless　disposal　of　garbage.　However,　due　to　the　uncertainty　and　complexity　of　socio-economic　development　and　the　limited　cognitive　ability　of　decision-makers,　how　to　rationally　select　the　garbage　disposal　site　has　become　a　challenging　task.　This　study　drew　a　new　multi-attribute　decision-making　method　based　on　interval　q-rung　orthopair　fuzzy　weighted　power　Muirhead　mean　(Iq-ROFPWMM)　operator　to　evaluate　site　selection　scheme　of　garbage　disposal　plant,　and　support　for　garbage　disposal　site　selection.　In　this　method,　firstly,　power　average　and　Muirhead　mean　operators　are　integrated　and　introduced　into　the　interval　q　rung　orthopair　fuzzy　environment　to　construct　an　Iq-ROFPWMM　operator.　Meanwhile,　some　properties　of　idempotence,　boundedness　and　monotonicity　for　the　Iq-ROFPWMM　operator　are　analyzed.　Then,　a　multi　attribute　decision-making　method　using　Iq-ROFPWMM　operator　is　established.　After　that,　a　practical　case　on　the　evaluation　of　garbage　disposal　site　selection　scheme　is　given　to　verify　the　effectiveness　of　the　proposed　method.　Further,　parameter　analysis　and　comparative　analysis　are　applied　to　demonstrate　the　superiority　of　our　method.　The　results　show　that　this　method　boasts　wider　space　for　evaluation　information　representation,　more　flexible　adaptation　to　the　environment　evaluation,　and　stronger　robustness　of　the　evaluation　results.　Finally,　some　conclusions　of　this　study　are　drawn　and　the　development　direction　is　revealed.