Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making

The single-valued neutrosophic set plays a crucial role to handle indeterminant and inconsistent information during decision making process. In recent research, a development in neutrosophic theory is emerged, called single-valued neutrosophic matrices, are used to address uncertainties. The beauty of single-valued neutrosophic matrices is that the utilizing of several fruitful operations in decision making. In this paper, some novel operations on neutrosophic matrices of are introduced, that is, type-1 product ((tilde odot )), type-2 product ((tilde otimes )) and minus ((tilde ominus )) between two single-valued neutrosophic matrices. Also, we introduced complement, transpose, upper and lower α ?level matrices of single-valued neutrosophic matrices and discussed related properties. Furthermore, we propose a multi-criteria group decision making method based on these new operations, and give an application of the proposed method in a real life problem. Finally, we compare proposed method in this paper with proposed methods previously.