D-AHP method with different credibility of information

Multi-criteria decision making (MCDM) has attracted wide interest due to its extensive applications in practice. In our previous study, a method called D-AHP (AHP method extended by D numbers preference relation) was proposed to study the MCDM problems based on a D numbers extended fuzzy preference relation, and a solution for the D-AHP method has been given to obtain the weights and ranking of alternatives from the decision data, in which the results obtained by using the D-AHP method are influenced by the credibility of information. However, in previous study the impact of information's credibility on the results is not sufficiently investigated, which becomes an unsolved issue in the D-AHP. In this paper, we focus on the credibility of information within the D-AHP method and study its impact on the results of a MCDM problem. Information with different credibilities including high, medium and low, respectively, is taken into consideration. The results show that the credibility of information in the D-AHP method slightly impacts the ranking of alternatives, but the priority weights of alternatives are influenced in a relatively obvious extent.