The data of foundation settlement are commonly unequal time-intervals. The former Grey Model, GM(1,1), is a unequal time-interval model based on gray theory. Some deficiencies have been detected in practical applications. The aim of the paper is focused on the application of the gray model to establish model groups. Using optimization method for every weight in each model of the groups, the weighted optimizing forecasting-model of unequal time-interval model groups have been build up. Better results are gained compared with the previous model.
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