Comparison of belief AHP models using a simulation study

A multi-criteria decision making (MCDM) method, as its own name suggests, is for use in situations when more than one criterion must be considered. In this work, we will focus on the Analytic Hierarchy Process (AHP), one of the well-known and most widely used MCDM approaches. Despite the extensive application of this method in various fields of decision making, AHP has been combined within uncertain theories, in particular the belief function theory, to handle uncertainty in the pair-wise comparison process. Therefore, this paper intends to describe some comparisons on the standard AHP and other belief AHP models to judge their accuracy. We use a simulation approach to compare the results of the different models based on different matrices dimensions. We observe a high level of agreement between the different techniques and we can conclude that the number of ranking contradictions increases with the dimension of the matrix.