This　study　proposes　a　multi-attribute　decision-making　method　for　the　decision-making　problems　with　attributes　and　sub-attribute　where　the　attribute　weight　is　unknown,　based　on　information　entropy　and　the　evaluation　based　on　distance　from　average　solution　(EDAS)　method　under　a　refined　single-valued　neutrosophic　set　environment.　First,　the　new　distance　measure,　similarity　measure,　and　neutrosophic　entropy　based　on　refined　single-valued　neutrosophic　sets　are　defined.　Further,　the　relationship　between　them　is　discussed　and　the　attribute　weights　are　determined　based　on　the　new　neutrosophic　entropy.　Then,　the　EDAS　method　is　used　to　rank　and　select　the　best　alternative.　Finally,　two　illustrative　examples　of　typhoon　disaster　assessment　(typhoon　disaster　assessment　with　multi-layer　indicators　and　dynamic　assessment　of　typhoon　disaster)　are　presented　to　demonstrate　the　feasibility,　effectiveness,　and　practicality　of　the　proposed　method.　The　advantages　of　the　proposed　method　are　illustrated　by　sensitive　analysis　and　comparative　analysis　with　other　methods.　©　2020,　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature.