Analysis Method of Grey Group Decision-Making

In the problem of group decision-making, the information about the decision maker′s preferences is not exact or incomplete due to factors of the quality of human resource and the influence of environment. The information gained by decision-making can be “loss” or “hazy”. When it is “hazy”, the eigenvalues of the objects to be appraised are interval grey numbers. The group decision-making pro-blems including the grey number are called the grey group decision-making problems. Combining the thoughts and methods of the grey system with the classic group decision-making theory, the grey group decision-making problems are discussed. Using the power method in the data analysis and the entropy model in the decision-making theory, the solutions to the grey group decision-making problem are given. The feasibility of the solution is shown by an example and a new approach is provided for the application of the group decision-making theory.