Constructive Method for Dual Interval Valued Hesitant Fuzzy Rough Sets

We combine dual interval valued hesitant fuzzy sets with rough sets to construct a hybrid uncertainty theory. According to the proposed dual interval valued hesitant fuzzy relation, our paper firstly investigated the two rough approximation operators, lower and upper of dual interval valued hesitant fuzzy set. Properties of the two rough approximation operators, their relationships between three specific dual interval valued hesitant fuzzy sets as well as four special fuzzy relations, serial, reflexive, symmetric and transitive relations of the dual interval valued hesitant fuzzy are further studied. Finally, We show the proposed dual interval valued hesitant fuzzy rough set anastz can help making decisions in clinic medical diagnosis.