Vector aggregation operator and score function to solve multi-criteria decision making problem in neutrosophic environment

In our real world there exist uncertain, imprecise, incomplete, and inconsistent information. Those kinds of information can be suitably handled by neutrosophic fuzzy set as it is the generalization of classic set, fuzzy set and intuitionistic fuzzy set. The uncertain, imprecise, incomplete and inconsistent information provided by several sources need to be aggregated to come to a conclusion. Aggregation and fusion of information are basic concerns for all kinds of knowledge based systems. The main purpose of this paper is to aggregate neutrosophic fuzzy information by introducing a new aggregation operator in vector approach. The new approach is simple based on basic vector operations and reliable as it will always give a meaningful result. Also a new vector score function has been defined to compare the neutrosophic fuzzy numbers and explained through geometrical interpretation. The newly proposed vector score function always gives different values for any two different neutrosophic numbers. Further, a multiple-criteria decision-making method is established on the basis of the proposed operator and newly defined score function.