The Pythagorean fuzzy set (PFS) is one of the most important concepts to accommodate more uncertainties than the intuitionistic fuzzy sets, fuzzy sets and hence its applications are more extensive. The well-known sine trigonometric function ensures the periodicity and symmetry of the origin in nature and thus satisfies the expectations of decision-makers over the parameters of the multi-time process. Keeping the features of sine function and the importance of the PFS, introduce the novel sine trigonometric operational laws (STOLs) under Pythagorean Fuzzy Settings. In addition, novel sine-trigonometric Pythagorean fuzzy aggregation operators are established based on these STOLs. The core of the study is the decision-making algorithm for addressing multi-attribute decision-making problems based on the proposed aggregation operators with unknown weight information of the given criteria. Finally, an illustrative example on internet finance soft power evaluation is provided to verify the effectiveness. Sensitivity and comparative analyses are also implemented to assess the stability and validity of our method.

勾股模糊集（PFS）是最重要的概念之一，与直觉模糊集相比，它能容纳更多不确定性，因此模糊集及其应用更加广泛。众所周知的正弦三角函数可确保自然界中原点的周期性和对称性，从而满足决策者对多次过程参数的期望。保留正弦函数的特征和PFS的重要性，介绍勾股模糊设置下的新颖正弦三角运算定律（STOL）。此外，基于这些STOL建立了新颖的正弦三角勾股勾股模糊集合算子。研究的核心是基于给定准则的权重信息未知的，提出的聚合算子，用于解决多属性决策问题的决策算法。最后，提供了有关互联网金融软实力评估的说明性示例，以验证其有效性。还进行了敏感性和比较分析，以评估我们方法的稳定性和有效性。