Recently, the concept of soft fuzzy rough covering was defined and their properties were studied by Zhan et al.. (Zhan and Sun, 2019). As a generalization of Zhan’s method (i.e., to increase the lower approximation and decrease the upper approximation), the present work aims to define the complementary fuzzy soft neighborhood and hence three new types of soft fuzzy rough covering models are constructed. The properties of these construction are explained. According to these results, we define three types of fuzzy soft measure degrees. Also, we study three kinds of $\psi$-soft fuzzy rough coverings and three kinds of $\mathcal{D}$-soft fuzzy rough coverings, and study their properties. The relationships among these three models and Zhan’s model are also presented. Finally, a decision-making algorithm is presented based on the proposed operations and illustrate with a numerical example to describe its performance.

最近，Zhan等人定义了软模糊粗糙覆盖的概念，并对其性质进行了研究（Zhan和Sun，2019年）。作为詹方法的推广（即增加下近似和减小上近似），本工作旨在定义互补的模糊软邻域，因此构建了三种新型的软模糊粗糙覆盖模型。说明了这些构造的属性。根据这些结果，我们定义了三种类型的模糊软测度。另外，我们研究三种$\psi$软模糊毛坯和三种 $\mathcal{d}$软模糊粗糙覆盖物，并研究其性能。还介绍了这三个模型与詹氏模型之间的关系。最后，基于所提出的操作提出了一种决策算法，并通过一个数值示例说明了该算法的性能。