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 altatives 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 altative,and the critical and ideal altatives,we show the method to figure out the most suitable altative based on the expected criteria.An illustrative example is also taken into account to prove the effectiveness of the model.