Interval fuzzy AHP method in risk assessment

Abstract

The Analytic Hierarchy Process (AHP) method is one of the oldest and mostly used multi-criteria decision-making methods. In addition to the development of a large number of other methods, the AHP method is still widely applied. More and more often, this method is being modified by the application of various mathematical tools dealing with the consideration of uncertainty and indeterminacy. This paper presents an approach to the modification of the AHP method using triangular interval fuzzy numbers. In this approach, the confidence interval of the fuzzy number describing the comparison of criteria differs from one comparison to another. It depends on the opinion of the decision makers/experts, respectively, on their certainty in the comparison they make. The modification of the method is presented on the problem of selecting the course of navigation of vessels in flooded areas, based on the risk assessment of each predicted course.