Abstract:

The multi-attribute decision model of grey targets is studied, a new model of grey target decision making is proposed. First the majorant operator of “rewarding good and punishing bad” is presented, this operator is nonlinear and can increase the difference between the data of the same index and different decision schemes. Then a single-object optimal model is established, which is solved by making the square sum of the off-target distance minimum, and the weight of each index is confirmed by constructing the Lagrangian function. Finally, the feasibleness and effectiveness of the method are proved through an example.