Because the expert(s) usually give the judgment with an uncertainty degree in general decision-making problems, combined the analytic hierarchy process (AHP) with the basic theory of the triangular fuzzy number (TFN), a TFN-based AHP model is suggested. The proposed model makes decision-makers’ judgment more accordant with human thought mode and derives priorities from TFN-based judgment matrices regardless of their consistency. In addition, formulas of the model are normative, they can be operated by programming easily and no human intervention is needed while applying the model-based software system. The results of an illustrative case indicate that, by applying the proposed model, fair and reasonable conclusions are obtained and the deviation scope of the priority weight of every decision element is given easily.