We　study　a　multi-criteria　fuzzy　decision-making　method　based　on　weighted　triangular　intuitionistic　fuzzy　number　correlation　coefficients.　Under　the　scenario　that　criteria　weights　for　alternatives　are　completely　unknown,　triangular　intuitionistic　fuzzy　method　can　not　only　supplement　the　insufficiency　of　the　method　based　on　the　distance　but　also　endow　more　information　to　the　estimation　and　reduce　the　loss　of　evaluation　information.　Among　the　triangular　numbers,　two　boundary　numbers　are　the　maximum　and　minimum　values　of　the　interval　respectively,　and　the　medium　number　is　the　most　possible　value　under　subjective　estimation.　Using　this　method,　we　propose　a　new　way　to　obtain　the　criteria　weights　with　more　information　quantity.　By　ranking　the　relative　closeness　of　the　weighted　correlation　coefficients　between　each　alternative,　and　the　critical　and　ideal　alternatives,　we　show　the　method　to　figure　out　the　most　suitable　alternative　based　on　the　expected　criteria.　An　illustrative　example　is　also　taken　into　account　to　prove　the　effectiveness　of　the　model.　©　2019,　Shanghai　Jiao　Tong　University　and　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.