基于中点及半径的区间数组合预测模型性质研究

The Nature of the Study of Interval Number Combination Forecast Model Which Based on Midpoints and Radius

文章将区间数的中点及半径分别看作实数序列,考虑组合预测区间数的中点及半径序列与实际值中点及半径序列之间的误差平方和,建立多目标最优化模型,通过引入偏好系数将多目标转化为单目标规划问题求解得到组合预测的权重。接着对所建立模型的有效性进行研究,并给出模型的相关性质。通过实例计算验证模型有效性。

The midpoints and radius of the interval number will be considered a real number sequence in this paper, considering the error sum of squares of the midpoints and radius of the interval number sequence between the midpoints and radius of the actual interval number value, a multi-objective optimization model is established, by introducing a preference coefficient we can transform multi-objective into single objective, and get the weight of combination forecast. Then we study the effectiveness of the proposed model, and give the properties of the model. Finally, we proved the validity of the model by an example.