Qualitative AHP models under the belief function framework

This paper investigates a multi-criteria decision making method in an uncertain environment, where the uncertainty is represented using the belief function framework. In this context, we suggest a novel methodology that tackles the challenge of introducing uncertainty in the expert evaluations. Therefore, the Analytic Hierarchy Process with qualitative belief function framework is adopted to get numeric representation of qualitative assessment. In this work, we will also focus on two AHP extensions under qualitative AHP. Besides, we intend to describe some comparisons on the standard AHP and the presented models to judge their accuracy. We use also a simulation approach to compare the results of the different models based on different matrices dimensions.