Geometric weighting method for solving multi-objective programming problems

The objective functions of multi-objective programming are conflict,there is generally has no optimized solution,so how to get its non-inferior solutions is of great importance.Using geometric weighting method proposed a new evaluation function,with this evaluation function can turn the multi-objective programming to the single objective programming,and It has proved that the solution obtained on geometric weighting method is non-inferior solution on multi-objective programming.Comparing three methods,that the linear weighting method,min-max method and the geometric weighting method,through an example.The results show that geometric weighting method is feasible and using geometric weighting method can obtain non-inferior solutions of the original problem,and when the weights change,the geometric weighting results more practical than the linear weighting method.