In this paper, we focus on the hesitant fuzzy decision-making method based on correlation coefficient under confidence levels. Firstly, we propose several correlation coefficients based on confidence levels, and based on the correlation coefficient between attribute-evaluated values and the ideal values, several optimal attribute weights models are constructed. Secondly, we have defined the concepts of module, weight module, projection, and weighted projection in hesitant fuzzy sets on account of the projection theory. Finally, on the strength of our research results above, we construct a hesitant fuzzy multiattribute decision-making method and apply it to the multiattribute decision-making problem in multisensor electronic reconnaissance. Comparative analyses are made via simulation to test the rationality and validity of the proposed method.

中文翻译：

---

置信水平下基于相关系数的犹豫模糊决策方法及其在多传感器电子侦察中的应用

本文重点研究了置信度下基于相关系数的犹豫模糊决策方法。首先，我们提出了几个基于置信度的相关系数，并基于属性评估值与理想值之间的相关系数，构造了多个最优属性权重模型。其次，基于投影理论，在犹豫的模糊集中定义了模块，权重模块，投影和加权投影的概念。最后，根据上述研究成果，构造了一种犹豫的模糊多属性决策方法，并将其应用于多传感器电子侦察中的多属性决策问题。通过仿真比较分析，验证了该方法的合理性和有效性。