A novel TODIM based on prospect theory to select green supplier with q-rung orthopair fuzzy set

The authors would like to acknowledge the financial support by the Fundamental Research Funds for the Central Universities (#JBK2001043, and #JBK190969), the FEDER funds provided in the National Spanish project PID2019-103880RB-I00 and also it has been partially supported by grant from the National Natural Science Foundation of China (#71910107002).Green supply chain has developed rapidly due to the advocacy of ecological civilization, and choosing a proper green supplier is a crucial issue. Considering the fuzziness of evaluation information and the psychological states of decision makers (DMs) in selecting process, a novel TODIM based on prospect theory with q-rung orthopair fuzzy set (q-ROFS) is proposed. The novel TODIM concerns both the perceived transformed probability weighting function and the differences in risk attitudes. A new distance, which concerns the herd mentality, is carried out to measure the perceived difference of the q-ROFS. Besides, a new systematic evaluation index system, named as PCEM (Product, Cooperation ability, Environment, Market), has been established. A case related to pork supplier companies is presented and fully demonstrates the effectiveness of the novel TODIM when compared with the extended one, the intuitionistic fuzzy TODIM, the Pythagorean fuzzy TODIM as well as the TOPSIS with q-ROFS. Finally, a series of comparative analyses illustrate the advantages of the proposed TODIM.Fundamental Research Funds for the Central Universities JBK2001043 JBK190969FEDER funds provided in the National Spanish project PID2019-103880RB-I00National Natural Science Foundation of China (NSFC) 7191010700