  Motivated by the definition of classical star selection principles,
Cruz-Castillo, Ram\'irez-P\'aramo and Tenorio defined some selection principles
and posed several questions about relationships between these notions and some
of the classical star selection principles. The main goal of this paper is to
answer the questions posed by these authors. In addition, we show that some of
these defined selection principles are equivalent by taking collections of
complements; also, some other results are provided involving collections of
refinements.
