The weighted distance measure based method to neutrosophic multi-attribute group decision making

Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function and falsity membership function. In this paper, we study the multi-attribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight. We first define the single valued neutrosophic ideal-solution (SVNIS) and the weighted distance measure, and establish the program models to derive the attribute weights. Then we give a practical application in the framework of SVNS, the result shows that our method is reasonable and effective in dealing with decision making (DM) problems. Furthermore, we extend the method to interval valued neutrosophic set (IVNS).