A Novel Interval Valued Picture Fuzzy TOPSIS Method: Application on Supplier Selection

Picture fuzzy sets (PFS) include membership, non-membership and hesitancy degrees whose sum is limited to at most one. Interval valued picture fuzzy sets (IVPFS) present a larger definition area for each parameter in PFS. IVPFS enable defining the hesitancy as an interval, thus, the makers’ vagueness in the evaluations can be better represented. In this paper, TOPSIS method, which is one of the most used multi-criteria decision making methods, is extended by IVPFS for the first time in the literature. The proposed IVPF TOPSIS is applied to a supplier selection problem and a sensitivity analysis is conducted for checking the robustness of the given decisions.