Emergency　responses　bear　the　characteristics　of　uncertainty　and　possess　multi-attributes　in　decision　making.　This　paper　applies　the　interval　evidential　reasoning　approach　and　the　interval-valued　hesitant　fuzzy　TODIM　(IVHF-TODIM)　method　to　tackle　the　dynamic　emergency　decision-making　problem.　We　introduce　a　function　to　obtain　the　gain　and　loss　degrees　through　the　geometric　area　method.　The　gain　and　loss　matrices　of　the　interval　belief　degrees　are　found　probabilistically.　A　new　approach　to　obtaining　the　dominance　degree　matrix　is　proposed.　From　the　IVHF-TODIM　method,　the　overall　dominance　degree　is　established　to　provide　the　ranking　of　the　decision　alternatives.　A　recent　case　of　selecting　an　emergency　decision　alternative　for　a　large　bushfire　is　used　to　validate　the　proposed　method,　followed　by　a　comparative　analysis.　©　2021,　The　Author(s),　under　exclusive　licence　to　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.