TODIM Method for Interval-Valued Pythagorean Fuzzy MAGDM Based on Cumulative Prospect Theory and Its Application to Green Supplier Selection

The green supplier selection could be regarded as a classical multiple attribute group decision making (MAGDM) issue. The interval-valued Pythagorean fuzzy set (IVPFSs) can fully describe the uncertain information for the risk assessment of science and technology projects. Furthermore, the classical TODIM method based on the cumulative prospect theory (CPT-TODIM) is built, which is a selectable method in reflecting the decision makers’ psychological behavior. Thus, in this paper, the interval-valued Pythagorean fuzzy CPT-TODIM (IVPF-CPT-TODIM) method is proposed for MAGDM issue. At the same time, it is enhancing rationality to get the weight information of attributes by using the entropy weight method under IVPFSs. And focusing on hot issues in contemporary society, this article applies the discussed method to green supplier selection, and demonstrates risk assessment model of science and technology projects based on the IVPF-CPT-TODIM method. Finally, through comparing the outcome of comparative analysis, we conclude that this improved approach is acceptable.