The dual probabilistic linguistic (DPL) term sets are considered superior to probabilistic linguistic term sets. Further, the generalized Dombi (GD) operators are pretty flexible with the general parameters during the aggregation process. Besides, the Bonferroni mean (BM) operator has the advantage of considering interrelationships between criteria. In this study, we combine the merits of the GD operator, and BM operator for handling multicriteria group decision-making issues under a DPL setting. The existing research on DPL term sets do not focus on both the subjective and objective weights of decision-experts. As a result, the evaluation results are likely to be distorted. To tackle this situation, in this paper, we utilize the concepts of consistency and similarity between the decision-experts to determine the decision-experts subjective and objective weights, respectively. To calculate the weights of criteria, the grey correlation coefficient of the assessment value of criteria is used to reflect the similarity between the criteria and its reference value. Since the existing aggregation operators fail to capture the interrelations between criteria under DPL setting, so for aggregating criteria values, we propose DPL generalized Dombi BM weighted averaging and geometric aggregation operators. We provide a case study regarding biomass feedstock selection to focus on the applicability of these proposed operators. Furthermore, we investigate the effects of the parameters upon ranking order. We also perform a sensitivity assessment of criteria weights to test the stability of our method. Lastly, we provide a comparison between our approach with various extant methods.

中文翻译：

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用于群体决策的双概率语言环境下广义 Dombi 算子和 Bonferroni 均值算子的混合

双概率语言 (DPL) 术语集被认为优于概率语言术语集。此外，广义 Dombi (GD) 算子在聚合过程中对通用参数非常灵活。此外，Bonferroni 均值 (BM) 算子具有考虑标准之间相互关系的优势。在这项研究中，我们结合了 GD 算子和 BM 算子的优点，在 DPL 设置下处理多标准群决策问题。现有的 DPL 术语集研究并未同时关注决策专家的主观和客观权重。结果，评估结果很可能被扭曲。为了解决这种情况，在本文中，我们利用决策专家之间的一致性和相似性的概念来分别确定决策专家的主观和客观权重。计算准则的权重，采用准则评价值的灰色相关系数来反映准则与其参考值的相似程度。由于现有的聚合算子无法捕捉 DPL 设置下标准之间的相互关系，因此对于聚合标准值，我们提出了 DPL 广义 Dombi BM 加权平均和几何聚合算子。我们提供了一个关于生物质原料选择的案例研究，以关注这些提议的运营商的适用性。此外，我们研究了参数对排名顺序的影响。我们还对标准权重进行敏感性评估，以测试我们方法的稳定性。最后，我们将我们的方法与各种现有方法进行了比较。