Some single valued neutrosophic correlated aggregation operators and their applications to material selection

In engineering design, the decision to select an optimal material has become a challenging task
for the designers, and the evaluation of alternative materials may be based on some multiple attribute group decision making (MAGDM) methods. Moreover, the attributes are often inter-dependent or correlated in the real decision making process. In this paper, with respect to the material selection problems in which the attribute values take the form of single valued neutrosophic numbers (SVNNs), a novel multiple attribute group decision making method is proposed. First, the concept and operational laws of SVNNs are briefly introduced. Then, motivated by the idea of Choquet integral, two correlated aggregation operators are proposed for aggregating single valued neutrosophic information based on the operational laws of SVNNs, such as the single valued neutrosophic correlated average (SVNCA) operator, the single valued
neutrosophic correlated geometric (SVNCG) operator, and then some desirable properties of these
operators and the relationships among them are investigated in detail. Furthermore, based on the
proposed aggregation operators, a novel multiple attribute group decision making method is
developed to select the most desirable material(s) under single valued neutrosophic environment.
Finally, a numerical example of material selection is given to illustrate the application of the
proposed method.