Novel Power Aggregation Operators Based on Einstein Operations for Interval Neutrosophic Linguistic Sets.

Interval neutrosophic linguistic sets (INLSs) take the advantages of interval neutrosophic sets (INSs) and linguistic variables (LVs), which can be better to handle the indeterminate and inconsistent information existing in the real world, and the power operator can consider all the decision arguments and their relationship. But the traditional power aggregation operator cannot handle interval neutrosophic linguistic sets. Motivated by these, firstly, the operations of interval neutrosophic linguistic numbers (INLNs) based on Einstein operations are defined, and the Hamming distance measure for INLNs is also explored in this paper. Secondly, some novel power aggregation operators based on Einstein operations are proposed, including the interval neutrosophic linguistic power weighted average (INLPWA) operator and the interval neutrosophic linguistic power weighted geometric (INLPWG) operator, and their properties are also studied. Thirdly, an illustrative example is illustrated to show the feasibility and practicality of the proposed method. [ABSTRACT FROM AUTHOR]