Details of Research Outputs

The dominance-based rough set approach (DRSA) extends Pawlak’s rough set theory and has become prevailing for multicriteria decision-making. The literature has reported multiple versions of DRSA models, in which rough approximations are preserving the union of decision classes. In this paper, we propose a new type of rough approach based on the classes rather than the conventional class unions. We extend the class-based rough approximation to a series of DRSA models, including classical DRSA, variable consistency DRSA model, variable precision DRSA model, and believable rough set approach model. Besides, we explore the methods of criteria reduction under the framework of class-based rough approximation. We clarify the relations among the proposed and previous reducts in DRSA.