In this paper, we extend the Bonferroni mean (BM) operator with the picture fuzzy numbers (PFNs) to propose novel picture fuzzy aggregation operators and demonstrate their application to multicriteria decision making (MCDM). On the basis of the algebraic operational rules of PFNs and BM, we introduce some aggregation operators: the picture fuzzy Bonferroni mean, the picture fuzzy normalized weighted Bonferroni mean, and the picture fuzzy ordered weighted Bonferroni mean. Then, a new picture fuzzy MCDM method is proposed with the help of the proposed operators. Lastly, a practical application of proposed model is given to verify the developed model and related results of the proposed model is compared with the results of the existing models to indicate its applicability.

中文翻译：

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一些图片模糊 Bonferroni 均值算子及其在多标准决策中的应用

在本文中，我们用图片模糊数 (PFN) 扩展了 Bonferroni 均值 (BM) 算子，以提出新颖的图片模糊聚合算子，并演示它们在多准则决策 (MCDM) 中的应用。在PFNs和BM的代数运算规则的基础上，我们引入了一些聚合算子：图片模糊Bonferroni均值、图片模糊归一化加权Bonferroni均值和图片模糊有序加权Bonferroni均值。然后，在所提出的算子的帮助下，提出了一种新的图像模糊MCDM方法。最后，给出了所提出模型的实际应用，以验证所开发的模型，并将所提出模型的相关结果与现有模型的结果进行比较，以表明其适用性。