Information system of cubic dihedral in soft rough setting based on cubic dihedral groups

A combination of a rough set and a soft set is a powerful tool for dealing with uncertainty. The goal of this work is to study the idea of roughness in comparison to soft sets over the cubic dihedral group. On another side, by using the normal soft cubic dihedral groups that correspond to each parameter are inserted. Some fundamental results about these classes over groups are addressed using examples. Furthermore, using group homomorphism based on the soft (perimage/ image) of a normal cubic dihedral group in a soft setting, this work demonstrates a relationship between our classes.