Trapezoidal　fuzzy　neutrosophic　decision　making　plays　an　important　role　in　decision-making　processes　with　uncertain,　indeterminate,　and　inconsistent　information.　In　this　paper,　we　propose　a　new　multi-attribute　decision-making　method　based　on　decision-making　trial　and　evaluation　laboratory　(DEMATEL),　fuzzy　distance,　and　linear　assignment　method　(LAM),　and　we　express　evaluation　values　as　the　trapezoidal　fuzzy　neutrosophic　numbers　(TrFNNs).　First,　attribute　weights　are　obtained　using　the　DEMATEL　method　and　the　new　fuzzy　distance　of　TrFNNs　based　on　graded　mean　integration　representation　is　defined.　Then,　alternatives　are　ranked　using　the　LAM　in　operations　research.　In　addition,　we　make　two　comparative　analyses　in　the　end　to　illustrate　the　feasibility　and　rationality　of　our　method.　Finally,　an　illustrative　example　about　typhoon　disaster　assessment　is　presented　to　show　the　advantages　of　the　proposed　method.　©　2020　-　IOS　Press　and　the　authors.　All　rights　reserved.