Bidirectional projection method for multiple attribute group decision making with neutrosophic numbers

Neutrosophic numbers are very suitable for expressing indeterminate evaluation information in complex decision-making problems, and then projection measure is a useful method for handling the decision-making problems. However, due to the lack of engineering applications of neutrosophic numbers and some shortcoming implied in general projection measures in some cases. Therefore, the paper proposes a bidirectional projection measure of interval numbers to overcome the shortcoming and extend it to the bidirectional projection measure of neutrosophic numbers, and then develops a bidirectional projection-based multiple attribute group decision-making method with neutrosophic numbers. Through the bidirectional projection measure between each alternative decision matrix and the ideal alternative matrix, all the alternatives can be ranked to select the best one. Finally, an illustrative example demonstrates the application of the proposed method. The effectiveness and advantages of the proposed method are shown by the comparative analysis with existing relative methods.