The neutrosophic set is constructed for modelling of situations specifically with incomplete, indeterminate and inconsistent information. In the study, Dombi operations have been introduced on two single-valued trapezoidal neutrosophic numbers (SVTrNNs). Here, Dombi operation on SVTrNNs, some new averaging and geometric averaging operators namely SVTrN Domi weighted averaging (SVTrNDWA) operator, SVTrN Dombi ordered weighted averaging (SVTrNDOWA) operator, SVTrN Dombi hybrid weighted averaging (SVTrNDHWA) operator, SVTrN Dombi weighted geometric (SVTrNDWGA) operator, SVTrN Dombi ordered weighted geometric (SVTrNDOWGA) operator and SVTrN Dombi hybrid weighted geometric (SVTrNDHWGA) operator have been proposed. Further, some properties of these operators such as idempotency, boundedness, monotonicity and commutativity have been investigated. Next, we have constructed a multi-criteria decision-making (MCDM) method in SVTrN environment based on SVTrNDWA and SVTrNDWGA operators. We have given an application of the present MCDM method for selecting the best contractor for a road construction company. We have also compared the current approach with the existing procedure and have given the sensitivity analysis of the proposed plan.

中文翻译：

---

基于SVTrN Dombi聚合函数的多准则决策方法

中智学集是为对不完整、不确定和不一致信息的情况进行建模而构建的。在研究中，在两个单值梯形中智数 (SVTrNN) 上引入了 Dombi 运算。这里，在 SVTrNN 上进行 Dombi 运算，一些新的平均和几何平均算子，即 SVTrN Dombi 加权平均 (SVTrNDWA) 算子、SVTrN Dombi 有序加权平均 (SVTrNDOWA) 算子、SVTrN Dombi 混合加权平均 (SVTrNDHWA) 算子、SVTrN Dombi 加权平均 (SVTrNDWA) 算子) 算子、SVTrN Dombi 有序加权几何 (SVTrNDOWGA) 算子和 SVTrN Dombi 混合加权几何 (SVTrNDHWGA) 算子已被提出。此外，还研究了这些算子的一些性质，如幂等性、有界性、单调性和可交换性。下一个，我们基于SVTrNDWA和SVTrNDWGA算子构建了SVTrN环境下的多准则决策（MCDM）方法。我们已经给出了当前 MCDM 方法为道路建设公司选择最佳承包商的应用。我们还将当前方法与现有程序进行了比较，并对拟议计划进行了敏感性分析。