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Volume 8 Issue 9
Sep.  2021

IEEE/CAA Journal of Automatica Sinica

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P. D. Liu, H. Gao, "A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means," IEEE/CAA J. Autom. Sinica, vol. 8, no. 9, pp. 1549-1566, Sep. 2021. doi: 10.1109/JAS.2020.1003444
Citation: P. D. Liu, H. Gao, "A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means," IEEE/CAA J. Autom. Sinica, vol. 8, no. 9, pp. 1549-1566, Sep. 2021. doi: 10.1109/JAS.2020.1003444

A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means

doi: 10.1109/JAS.2020.1003444
Funds:  This work was supported by the National Natural Science Foundation of China (71771140), Project of Cultural Masters and “the Four Kinds of a Batch” Talents, the Special Funds of Taishan Scholars Project of Shandong Province (ts201511045), and the Major Bidding Projects of National Social Science Fund of China (19ZDA080)
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  • In view of the environment competencies, selecting the optimal green supplier is one of the crucial issues for enterprises, and multi-criteria decision-making (MCDM) methodologies can more easily solve this green supplier selection (GSS) problem. In addition, prioritized aggregation (PA) operator can focus on the prioritization relationship over the criteria, Choquet integral (CI) operator can fully take account of the importance of criteria and the interactions among them, and Bonferroni mean (BM) operator can capture the interrelationships of criteria. However, most existing researches cannot simultaneously consider the interactions, interrelationships and prioritizations over the criteria, which are involved in the GSS process. Moreover, the interval type-2 fuzzy set (IT2FS) is a more effective tool to represent the fuzziness. Therefore, based on the advantages of PA, CI, BM and IT2FS, in this paper, the interval type-2 fuzzy prioritized Choquet normalized weighted BM operators with ${\boldsymbol{ \lambda}}$ fuzzy measure and generalized prioritized measure are proposed, and some properties are discussed. Then, a novel MCDM approach for GSS based upon the presented operators is developed, and detailed decision steps are given. Finally, the applicability and practicability of the proposed methodology are demonstrated by its application in the shared-bike GSS and by comparisons with other methods. The advantages of the proposed method are that it can consider interactions, interrelationships and prioritizations over the criteria simultaneously.


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    • The IT2FSs are applied to express the uncertainties of the GSS since they have obvious advantage of dealing with high order uncertainties more precisely;
    • IT2FPCNWBM with λ fuzzy measure and GPM by combining PA operator, CI operator and BM operator are proposed respectively, so as to consider interactions, interrelationships and prioritizations over the criteria simultaneously;
    • A novel GSS method based on the presented aggregation operators is developed;
    • A case of shared-bike GSS is conducted to validate the applicability and practicability of the proposed method, and a richer comparative analysis is utilized to explain the superiority and feasibility of the novel method.


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