Abstract

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.

Highlights

  • In recent years, with the advancement of technology, the economic level of countries around the world has been greatly improved

  • Many evaluation methods are available for decision makers in the green supplier selection, such as Data Envelopment Analysis (DEA) [1]–[3], The associate editor coordinating the review of this manuscript and approving it for publication was Xin Luo

  • The Interval-valued Pythagorean Fuzzy Sets (IVPFS) is introduced into the DEA model, which extends the application of the IVPFS, and enriches the knowledge system of DEA

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Summary

INTRODUCTION

With the advancement of technology, the economic level of countries around the world has been greatly improved. Wu et al.: Green Supplier Selection Based on DEA Model in Interval-Valued Pythagorean Fuzzy Environment decision-making units’ efficiency scores greater than or equal to 1, excluding the evaluated decision units from the reference set to construct a new production frontier by other DMUs, and reordering the efficient DMUs realized the complete rank of all DMUs. SE-BCC model improved the practicability of DEA. Yu et al [37] developed a novel group decision making sustainable supplier selection approach using extended Techniques for Order Preferences by Similarity to Ideal Solution (TOPSIS) under interval-valued Pythagorean fuzzy environment.

BCC MODEL
THE OPERATIONAL LAWS OF INTERVAL-VALUED
COMPARISON RULES OF THE INTERVAL-VALUED
THE AGGREGATION OPERATOR OF INTERVAL-VALUED
NUMERICAL EXAMPLE
CONCLUSION

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