A dominance-inferiority-based rough set model and its application to car evaluation

By comparing the attributes of objects one by one, an intuitionistic fuzzy relation, called the dominance-inferiority relation, is presented, and a dominance-inferiority-based rough set is introduced. Based on the dominance-inferiority relation and the dominance-inferiority-based rough set, the dominance-inferiority degree and dominance-inferiority neighborhood degree are then proposed, respectively. Then, according to these newly proposed degrees, a novel multiple-attribute decision-making method is designed. Finally, the effectiveness, accuracy, and non-randomness of the new method are verified through comparison of methods via ROC curves.