Multi-criteria group decision making based on neutrosophic analytic hierarchy process

The main objective of this research is to give an overview of the Analytic Hierarchy Process (AHP) in neutrosophic environment. In some realistic situations, the decision makers might be unable to assign deterministic evaluation values to the comparison judgments due to his/her limited knowledge or the differences of individual judgments in group decision making. To overcome these challenges, we have used neutrosophic set theory to handle the AHP, where each pair-wise comparison judgment is represented as a triangular neutrosophic number (TNN). In this paper, neutrosophic theory is used to form AHP decision-making model for choosing the best candidates among the applications. A real life example is developed based on expert opinions from Zagazig University, Egypt. The problem is solved to show the effectiveness of the proposed neutrosophic-AHP decision making model.