Some Maclaurin Symmetric Mean Operators for Single-Valued Trapezoidal Neutrosophic Numbers and Their Applications to Group Decision Making

AbstractThe Maclaurin symmetric mean (MSM) operator has a desirable property that it can capture the interrelationships among multi-input arguments and it is a generalization of some existing aggregation operators by changing the value of parameter k. The single-valued trapezoidal neutrosophic number (SVTNNs) can more conveniently depict uncertain information in the decision-making process. In order to combine the advantages of MSM operator and the SVTNNs, in this paper, we extend the MSM operator to SVTNNs. Firstly, we reviewed some basic concepts about the MSM operator and the SVTNNs and defined some single-valued trapezoidal neutrosophic MSM operators; then, we studied some properties of them and discussed some special cases of the proposed operators by changing the value of parameter k. Moreover, we developed a method to deal with multi-attributes group decision-making problem based on SVTNWMSM operator. Finally, we verified the validity and reliability of the proposed method by an illustrative example and analyzed its advantages by comparing with other existing methods.

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