Extended Projection Based Models for Solving Multiple Attribute Decision Making Problems with Interval Valued Neutrosophic Information

The paper develops two new methods for solving multiple attribute decision making problems with interval – valued neutrosophic assessments. In the decision making situation, the rating of alternatives with respect to the predefined attributes is described by linguistic variables, which can be represented by interval - valued neutrosophic sets. We assume that the weight of the attributes are not equal in the decision making process and they are obtained by using maximizing deviation method. We define weighted projection measure and propose a method to rank the alternatives. Furthermore, we also develop an alternative method to solve multiple attribute decision making problems based on the combination of angle cosine and projection method. Finally, an illustrative numerical example in Khadi institution is solved to verify the effectiveness of the proposed methods.