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Green Supplier Selection Using QUALIFLEX Method Based on Cumulative Prospective Theory Under Probabilistic Hesitant Fuzzy Circumstance | International Journal of Fuzzy Systems Skip to main content
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Green Supplier Selection Using QUALIFLEX Method Based on Cumulative Prospective Theory Under Probabilistic Hesitant Fuzzy Circumstance

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Abstract

As people pursue the concept of green and low carbon, green supply chain is a key link of development, and the selection of its key green suppliers plays a crucial role in green development. As the decision making of green suppliers involves many factors, many experts need to make decisions together, the selection of green supplier can be regarded as a problem of multiple attribute group decision making (MAGDM). Thus, this manuscript collected information in probabilistic hesitant fuzzy (PHF) environment and using CRITIC method to obtain the unknown weighting among criterions. Further, a MADM framework develop a novel QUALItative FLEXible (QUALIFLEX) method based on cumulative prospect theory (CPT) with the PHF information was constructed to conduct the selection problem. Finally, a numerical case of green supplier selection was illustrated with this proposed model, and other methods were utilized to compare with PHF-CPT-QUALIFLEX method to verify the feasibility and applicability.

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Acknowledgements

The work was supported by the Sichuan Province Social Development Key R&D Projects under Grant No. 2023YFS0375 and Natural Science Foundation of Sichuan Province under Grant No. 2022NSFSC1821.

Author information

Authors and Affiliations

  1. School of Business, Sichuan Normal University, Chengdu, 610101, Sichuan, People’s Republic of China

    Zeyuan Wang, Qiang Cai & Guiwu Wei

  2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, Jiangsu, People’s Republic of China

    Ningna Liao

  3. School of Civil Engineering, Chongqing University of Arts and Sciences, Chongqing, 402160, People’s Republic of China

    Dexue Deng

Authors
  1. Zeyuan Wang
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  2. Qiang Cai
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  3. Guiwu Wei
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  4. Ningna Liao
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  5. Dexue Deng
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Correspondence to Guiwu Wei.

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This article does not contain any studies with human participants performed by any of the authors. This article does not contain any studies with animals performed by any of the authors. This article does not contain any studies with human participants or animals performed by any of the authors.

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Appendix

Appendix

See Tables 2, 3, 4.

Table 2 Decision matrix \(d_{1}\)
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Table 3 Decision matrix \(d_{2}\)
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Table 4 Decision matrix \(d_{3}\)
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Step 1 Obtain the standardized data in Tables 5, 6, and 7 using the introduction in Definition 2.

Table 5 The normalized decision matrix
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Table 6 The normalized decision matrix
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Table 7 The normalized decision matrix
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Step 2 Obtain the integrated decision matrix using Eq. (14) and the result is shown in Table 8.

Table 8 The integrated decision matrix
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Step 3 Get the score function of the integrated decision matrix in Table 9.

Table 9 The score of the integrated decision matrix
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Wang, Z., Cai, Q., Wei, G. et al. Green Supplier Selection Using QUALIFLEX Method Based on Cumulative Prospective Theory Under Probabilistic Hesitant Fuzzy Circumstance. Int. J. Fuzzy Syst. 25, 3293–3304 (2023). https://doi.org/10.1007/s40815-023-01621-y

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