Linguistic interval neutrosophic sets in multi-criteria group decision-making

Neutrosophic set is an inclusive and powerful set, which can deal with incomplete, inconsistent, and indeterminate information very well. To ease its application in real-world problems, many extensions of NSs have been proposed. In this paper, we presented a linguistic interval neutrosophic set, which integrates the advantages of NSs, IVFSs and linguistic variables together and more applicable to practical problems. In addition, a LINSs based TOPSIS method is established to solve multi-criteria group decision-making problems. A numerical example is presented to illustrate the application of the proposed method. And some discussions are given to show the superiority of the proposed method.