Heterogeneous　multi-attribute　case-based　decision　making　(HMCBDM)　is　a　type　of　complex　and　important　problem　encountered　in　many　decision　applications,　and　such　problems　involve　real　numbers,　interval　numbers,　triangular　fuzzy　numbers,　linguistic　variables,　and　intuitionistic　fuzzy　numbers.　However,　heterogeneous　multi-attributes　are　not　fully　considered　in　case-based　decision　making.　Moreover,　in　the　decision　making　process,　the　psychological　behavior　of　the　decision　maker　must　be　considered.　To　this　end,　this　paper　proposes　a　novel　method　for　HMCBDM　problems　based　on　the　TODIM　(an　acronym　in　Portuguese　for　interactive　and　multi-criteria　decision　making)　method.　First,　the　problem　similarity　and　solution　similarity　are　formulated.　Next,　a　similar　case　set　is　constructed　according　to　the　problem　and　solution　similarities.　Further,　the　utility　of　the　result　of　the　historical　solution　is　calculated.　In　addition,　a　ranking　method　based　on　TODIM　is　proposed,　in　which　the　problem　similarity,　solution　similarity,　and　utility　of　the　result　of　the　historical　solution　are　considered,　and　subsequently,　the　suitable　solution(s)　is　obtained.　Finally,　a　case　study　considering　a　gas　explosion　and　pertaining　to　decision　making　in　emergency　situations　is　described　to　illustrate　the　use　of　the　proposed　method.