Some power generalized aggregation operators based on the interval neutrosophic sets and their application to decision making

The interval neutrosophic set (INS) can be better to express the incomplete, indeterminate and inconsistent information, and the power average (PA) operator can take all the decision arguments and their relationships into account, and the generalized weighted aggregation (GWA) operator can reflect the mentality of the decision-makers. In this paper, we combined PA and GWA operators to INS, and proposed some aggregation operators, include interval neutrosophic power generalized aggregation (INPGA) operator, interval neutrosophic power generalized weighted aggregation (INPGWA) operator and interval neutrosophic power generalized ordered weighted aggregation (INPGOWA) operator. Firstly, we presented some new operational laws for interval neutrosophic sets and studied their properties. Then we proposed INPGA, INPGWA and INPGOWA operators, and studied some properties and special cases of them. Further, we gave a decision making method based on these operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness, and to illustrate the influence of the parameter on decision making results in INPGWA operator.