Single-valued trapezoidal neutrosophic numbers (SVTNNs) are very useful tools to describe complex cognitive information because of their advantage in maintaining the completeness and accuracy of information. This paper develops a method based on the single-valued trapezoidal neutrosophic power-weighted aggregation operators and possibility degree of SVTNNs for dealing with multi-criteria group decision-making (MCGDM) problems. First, the limitations of the existing operations for SVTNNs are discussed, and then an improved operation is defined. Moreover, the possibility degree of two SVTNNs with consideration of the influence of risk attitudes is proposed, and the comparison rules for SVTNNs are thereby established. Based on the new operation and possibility degree of SVTNNs, the single-valued trapezoidal neutrosophic power average and single-valued trapezoidal neutrosophic power geometric operators are proposed to aggregate the single-valued trapezoidal neutrosophic information. Furthermore, a single-valued trapezoidal neutrosophic MCGDM method is developed. Finally, an example of a company selecting the most suitable green supplier is provided to present a comparative analysis between the proposed approach and other related methods. This example can demonstrate the effectiveness and flexibility of the proposed methodology.

单值梯形中智数（SVTNN）是描述复杂认知信息的非常有用的工具，因为它们在保持信息完整性和准确性方面具有优势。本文提出了一种基于单值梯形中智功率加权聚合算子和SVTNNs可能程度的方法，用于解决多准则组决策问题。首先，讨论了SVTNN的现有操作的局限性，然后定义了一种改进的操作。此外，提出了两个SVTNN的可能性程度，并考虑了风险态度的影响，从而建立了SVTNN的比较规则。根据SVTNN的新操作和可能性程度，提出了单值梯形中智功率均值和单值梯形中智功率几何算子，以汇总单值梯形中智信息。此外，开发了单值梯形中智MCGDM方法。最后，提供了一个公司选择最合适的绿色供应商的示例，以对提议的方法与其他相关方法进行比较分析。该示例可以证明所提出方法的有效性和灵活性。提供了一个公司选择最合适的绿色供应商的示例，以对建议的方法与其他相关方法进行比较分析。该示例可以证明所提出方法的有效性和灵活性。提供了一个公司选择最合适的绿色供应商的示例，以对建议的方法与其他相关方法进行比较分析。这个例子可以证明所提出方法的有效性和灵活性。