A Novel Green Supplier Selection Method Based on the Interval Type-2 Fuzzy Prioritized Choquet Bonferroni Means Peide Liu, Member, IEEE, and Hui Gao λ Abstract—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 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. Index Terms—Bonferroni mean operator, Choquet integral operator, Green supplier selection (GSS), interval type-2 fuzzy set (IT2FS), prioritized aggregation operator.    Nomenclature PA Prioritized aggregation CI Choquet integral BM Bonferroni mean FM Fuzzy measure GSS Green supplier selection GPM Generalized prioritized measure MCDM Multi-criteria decision-making NWBM Normalized weighted BM IT2FS Interval type-2 fuzzy set TODIM An acronym in Portuguese for inter- active MCDM TOPSIS Technique for order preference by similarity to anideal solution WASPAS Weighted aggregated sum product assessment IT2F-WA Interval type-2 fuzzy weighted average GTIT2FWA Generalized trapezoidal interval type-2 fuzzyweighted averaging GTIT2FHA Trapezoidal interval type-2 fuzzy hybrid averaging IT2FPCNWBM Interval type-2 fuzzy prioritized Cho- quet NWBM    I. Introduction T O make further development, enterprises should strengthen their operational managements so as to satisfy the demand of customers and to survive in the fierce market competition [1], [2]. Another way, customers are also searching for lower cost product or service with greater quality [2]. Thus, the supplier selection is a crucial task for enterprises [3]–[6]. Once a supplier becomes a partner, the cooperative partnership between them will have very great influence on improving customer satisfaction and operations of the products or services [4]. For relieving the pressure of environmental protection, enterprises are forced to concern environmental competencies [7]. Accordingly, green supplier selection (GSS) is playing more and more vital role in the process of supplier selection, and now it has been a new and interest research topic which is attracting numerous researchers to pay attention to this issue. On this regard, multi-criteria decision-making (MCDM) methods can select an optimal supplier from some potential green suppliers which are evaluated with regard of conflicting criteria. Nevertheless, in the real GSS environments, owing to ambiguity and uncertainty, the assessment values on various criteria, such as green research and development (R&D), green technology, green image, and green management system, are not able to be expressed effectively and fully by Manuscript received April 2, 2020; revised May 7, 2020; accepted June 13, 2020. 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). Recommended by Associate Editor Xianghui Cao. (Corresponding author: Peide Liu.) Citation: P. D. Liu and 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, Sept. 2021. P. D. Liu is with the School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China (e-mail: Peide.liu@gmail.com). H. Gao is with the School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, and also with the School of Business, Heze University, Heze 274015, China (e-mail: gaohui@mail.sdufe.edu.cn). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/JAS.2020.1003444 IEEE/CAA JOURNAL OF AUTOMATICA SINICA, VOL. 8, NO. 9, SEPTEMBER 2021 1549