Multi Attribute Decision Making Sensitivity Analysis

In this paper, sensitivity analysis for Multiple Attribute Decision Making is studied, the perturbation upper bounds of each attribute value and attribute weight of the alternative, which make the alternative remain the original position, are obtained. Meanwhile, a mathematical programming method of obtaining the perturbation upper bounds of the weight is proposed. The sensitivity analysis of TOPSIS is given, the change ranges of attribute weight which make the alternative remain the original position are proposed in this paper. In Analytic Hierarchy Process(AHP), the sensitivity analysis of the Judgment Matrix is studied, a variant condition of the perturbation matrix persevering optimum decision-making series is given, the Hadamard product method of the sensitivity analysis for the complementary judgement matrix is proposed. The change ranges of attribute value in the generalized double base points method are improved in this paper.