Abstract
In this paper, we propose a general decision-making framework based on the HF rough set model over two universes. By a constructive approach, the HF rough set model over two universes is first presented and some properties of this model are further discussed. The union, the intersection and the composition of hesitant fuzzy approximation spaces are proposed, and some properties are also investigated. We then give a new approach of decision making in uncertainty environment using the hesitant fuzzy rough sets over two universes. Finally, two practical applications are provided to illustrate the validity of this approach.
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