Modified TODIM method based on cumulative prospect theory with Type-2 neutrosophic number for green supplier selection

Today's consumers' awareness of environmental protection and social morality is forcing companies to implement sustainable supply chains. Choosing a green supplier can not only determine the sustainable development of the supply chain, but also protect the environment and enhance the company's reputation, in line with the background of green development. Green supplier selection is a multi-attribute decision-making (MADM) problem. Type-2 neutrosophic number (T2NN) can be compatible with more fuzzy information, and the green supplier selection problem also has a lot of fuzzy information, which makes T2NN very suitable for supplier selection. In this paper, a new method named CPT-TODIM-CDMT is proposed for green supplier selection of T2NN set based on TODIM. A new distance measure named cosine distance measure is proposed for T2NN set, and is applied in TODIM method. In this new method, attribute weight is determined by entropy method and optimized by CPT. The gains and losses preference in the CPT is also applied to the step of calculating the dominance degree in the TODIM method. A case study is used to verify the method. Through the comparison of the results of different decision-making models and the sensitivity research of the coefficients in the model, the correctness, validity and stability of the model are verified.