Multiple attribute group decision making based on interval neutrosophic uncertain linguistic variables

To deal with decision-making problems with interval neutrosophic uncertain linguistic information, the paper proposes a multiple attribute group decision-making method under an interval neutrosophic uncertain linguistic environment. Firstly, the concept of an interval neutrosophic uncertain linguistic set and an interval neutrosophic uncertain linguistic variable (INULV) is presented by combining an uncertain linguistic variable with an interval neutrosophic set. Secondly, we introduce the operation rules of INULVs and the score function, accuracy function and certainty function of an INULV. Thirdly, we develop an interval neutrosophic uncertain linguistic weighted arithmetic averaging (INULWAA) operator and an interval neutrosophic uncertain linguistic weighted geometric averaging (INULWGA) operator and investigate their properties. Fourthly, a group decision-making method is established based on the INULWAA and INULWGA operators to solve multiple attribute group decision-making problems with interval neutrosophic uncertain linguistic information. Finally, an illustrative example is provided to demonstrate the application of the developed approach.