Green Supplier Selection Based on DEA Model in Interval-Valued Pythagorean Fuzzy Environment

The green supplier selection has gradually become a hot topic around the world. To achieve the purpose of optimal decision-making, it is of great importance to process the imprecise and ambiguous information that may exist in the evaluation and selection of green suppliers. In the present article, first, converting the imprecise and ambiguous information into interval-valued Pythagorean fuzzy numbers (IVPFNs) through the Likert scale. Then, using the interval-valued Pythagorean fuzzy weighted average (IVPFWA) operator and multiplicative theory to introduce the IVPFNs into the non-radial SE-BCC model of Data Envelopment Analysis (DEA), we developed the DEA model in the interval-valued Pythagorean fuzzy environment. Later, ranking all decision-making units (DMUs) to be evaluated and selecting the best of them. Moreover, The proposed model can not only deal with the case where the quantitative indicators are interval-valued numbers, but also solve the problem of qualitative analysis in the evaluation process. Finally, a numerical example of green suppliers selection is provided to demonstrate the feasibility and usefulness of the model.