A Novel D-S Theory Based AHP Decision Apparatus under Subjective Factor Disturbances

In real life, sometimes Multi-Criteria Decision Making (MCDM) problems are dealt with inevitably under the disturbance of subjective factors such as intuition, feeling and emotion. However, the existing work cannot handle the issue well. As a result, it is difficult for them to predict and give some decision support for MCDM problem of this kind. Thus, to address the issue, this paper constructs a novel Analytic Hierarchy Process (AHP) approach based on Dempster-Shafer (D-S) theory. More specifically, our model can: (i) handle the subjective factor disturbances by distinguish complete (there not exists any hidden subjective factors impact the decision) and incomplete (the converse of complete) criteria; (ii) differentiate incomplete and complete relative ranking of the groups of decision alternatives over a criterion; and (iii) handle the ambiguous criteria evaluations of the groups of decision alternatives. Moreover, we give two methods to reduce the subjective factor disturbances. Finally, we illustrated our approach with a real-life problem.