A Cubic Dihedral in Soft Rough Setting Based on Cubic Dihedral Groups

Combination of rough set and soft set is a powerful tool for dealing with uncertainty. The goal of this work is to investigate the idea of roughness in comparison to soft set over cubic dihedral group. New two classes, namely soft lower cubic dihedral sets and soft upper cubic dihedral sets. In other side, they are inserted by using the normal soft cubic dihedral groups that correspond to each parameter. Some fundamental results about these our classes over groups are addressed using examples. Moreover, this work shows a connection between our classes using group homomorphism based on the soft per-image and image of a normal soft cubic dihedral group. Also, this technique may be used to link two information systems in the information technology field.