摘要：Motivated by the advantages of multi-valued neutrosophic sets (MVNSs) and linguistic variables (LVs), we introduce the concept of multi-valued neutrosophic linguistic sets (MVNLSs) and define the operational laws of multi-valued neutrosophic linguistic numbers (MVNLNs) based on Algebraic operations and the distance measure for MVNLNs. Then, the multi-valued neutrosophic linguistic power weighted average (MVNLPWA) operator and the multi-valued neutrosophic linguistic power weighted geometric (MVNLPWG) operator are proposed to aggregate the multi-valued neutrosophic linguistic information, and some desirable properties of two operators are analyzed. Furthermore, a multi-criteria decision-making (MCDM) method based on the power aggregation operator is developed, where the criterion values corresponding to alternatives are the form of MVNLNs. Finally, an illustrative example is provided to demonstrate the effectiveness and practicality of the proposed method.
关键词：multi;criteria decision;making; Algebraic; power operator; multi;valued neutrosophic linguistic
