An Interval-Valued Fuzzy Analytical Hierarchy Process Approach and Its Application

Project evaluation and selection is a complex multi-attribute decision-making problem. With the information uncertainty and inaccuracy considered, a new model for project evaluation and selection is proposed, which combines the fuzzy analytic hierarchy process (AHP) and technique for order performance by similarity to ideal solution (TOPSIS). The hybrid method is based on interval-valued triangular fuzzy numbers. An index system for selecting the optimal project is established. The weights of criteria and sub-criteria are derived by fuzzy AHP. The relative closeness is drawn from the calculation of the distance between the alternatives and positive ideal solutions or negative ones. Also, the ranking of alternatives can be based on their relative closeness. Finally, a case study is given adopting the proposed method.