Group decision-making method with directed graph under linguistic environment

In this paper, a group decision-making method of neighborhood operator based on the directed graph is proposed under a linguistic environment, which considers only the dominance relation of elements of linguistic term sets and not consider the algebraic operations of its elements. In linguistic-valued expert information system, the linguistic term set opinions of experts are compared one by one, and the directed graph between objects is established based on the dominance matrix between objects. Then, the neighborhood operator is used between objects to fuse expert opinions. A new group decision-making method is designed in linguistic environment, and this method overcomes the semantic distortion and information loss by linguistic information processing, and reduces the restriction on linguistic term sets. Finally, the effectiveness and non-randomness of the new method are verified by applying it in the film evaluation of Douban film review website (https://movie.douban.com).