Intuitionistic fuzzy (IF) information aggregation in multi-criteria decision making (MCDM) is a substantial stream that has attracted significant research attention. There are various IF aggregation operators have been suggested for extracting more informative data from imprecise and redundant rawinformation. However, some of the aggregation techniques that are currently being applied in IF environments are non-monotonic with respect to the total order, and suffer from high computational complexity and inflexibility. It is necessary to develop some novel IF aggregation operators that can surpass these imperfections. This paper aims to construct some IF aggregation operators based on Yager’s triangular norms to shed light on decision-making issues. At first, we present some novel IF operations such as Yager sum, Yager product and Yager scalar multiplication on IF sets. Based on these new operations, we propose the IF Yaeger weighted geometric operator and the IF Yaeger ordered weighted geometric operator, and prove that they are monotone with respect to the total order. Then, the focus on IF MCDM have motivated the creation of a new MCDM model that relies on suggested operators. We show the applicability and validity of the model by using it to select the most influential worldwide supplier for a manufacturing company and evaluate the most efficient method of health-care disposal. In addition, we discuss the sensitivity of the proposed operator to decision findings and criterion weights, and also analyze it in comparison with some existing aggregation operators. The final results show that the proposed operator is suitable for aggregating both IF information on “non-empty lattice" and IF data on total orders.

中文翻译：

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基于Yager三角范数的直观模糊几何聚合算子及其在多准则决策中的应用

多标准决策（MCDM）中的直觉模糊（IF）信息聚合是一个重要的趋势，引起了人们的广泛研究关注。人们建议使用各种 IF 聚合运算符来从不精确和冗余的原始信息中提取更多信息数据。然而，当前在 IF 环境中应用的一些聚合技术在总阶数方面是非单调的，并且存在高计算复杂性和不灵活性的问题。有必要开发一些新颖的 IF 聚合算子来克服这些缺陷。本文旨在构建一些基于 Yager 三角规范的 IF 聚合算子，以阐明决策问题。首先，我们介绍了一些新颖的 IF 运算，例如 IF 集上的 Yager 和、Yager 积和 Yager 标量乘法。基于这些新运算，我们提出了IF Yaeger加权几何算子和IF Yaeger有序加权几何算子，并证明它们相对于总阶数是单调的。然后，对 IF MCDM 的关注推动了依赖于建议算子的新 MCDM 模型的创建。我们通过使用该模型为制造公司选择全球最具影响力的供应商并评估最有效的医疗处置方法来展示该模型的适用性和有效性。此外，我们讨论了所提出的算子对决策结果和标准权重的敏感性，并与一些现有的聚合算子进行比较进行了分析。最终结果表明，所提出的算子适用于聚合“非空格”上的 IF 信息和总订单上的 IF 数据。