Abstract:

The problem of grey group decisionmaking is studied. A novel grey group decision-making model which can discriminate and reject the invalid decision values is proposed. The majorant operator of “rewarding good and punishing bad” is used to standardize the decision values, and the weights of the index are obtained through an optimization model. Then the highest assessment of all the decision schemes is obtained and the invalid decision value is discriminated through the distance with the highest assessment instead of the usual method which rejects the highest and lowest decision values simply. Then the new weights of the decision-makers of the new decision-maker group are obtained, and the result through the grey target method is gotten. Finally, the method is proved to be feasible and effective through an example.