In this paper, we introduce some selection principles, which are motivated by star and strong star Rothberger and star and strong star Menger principles. Theorems to characterize the star and strong star Rothberger-type properties in spaces using the family ${\mathbb{C}}_{\mathrm{\Delta }}(\mathrm{\Lambda })$ of $c_{\mathrm{\Delta }}(\mathrm{\Lambda })$-covers of a space X and the family $\mathcal{D}$ of dense subsets in hit-and-miss hyperspaces are proved. In a similar way are presented the versions to characterize the star and strong star Menger-type properties in spaces using again the families ${\mathbb{C}}_{\mathrm{\Delta }}(\mathrm{\Lambda })$ and $\mathcal{D}$ in the respective spaces. Finally, we provide some relationships between the selection principles defined along the paper.

在本文中，我们介绍了一些选择原则，这些原则受到明星和强星 Rothberger 和明星和强星 Menger 原则的启发。使用族表征空间中星和强星 Rothberger 型性质的定理${\mathbb{C}}_{\mathrm{\Delta }}(\mathrm{\Lambda })$ 的 $C_{\mathrm{\Delta }}(\mathrm{\Lambda })$-空间X和家庭的封面$\mathcal{D}$证明了命中和未命中超空间中的密集子集。以类似的方式呈现了再次使用族来表征空间中恒星和强星门格尔型特性的版本${\mathbb{C}}_{\mathrm{\Delta }}(\mathrm{\Lambda })$ 和 $\mathcal{D}$在各自的空间。最后，我们提供了本文定义的选择原则之间的一些关系。