Grey Stochastic Multi-criteria Decision-making Approach for Information System Evaluation

For grey stochastic multi-criteria decision-making problem with criterion value as extended grey number, the study proposes grey stochastic multi-criteria decision-making approach based on Hausdorff distance. First, it provides definition and operation rule of extended grey number stochastic variable and expectation, then obtains expectation decision matrix about grey number based on grey decision matrix and natural state probability. Second, the study calculates distance between the various solutions and positive and negative ideal solutions, respectively by combining weight vector of various criteria and ultimately determines the relative closeness degree and sorts the solution based on the value. Finally, through information system evaluation, the study results verify feasibility and effectiveness of the proposed method.