平滑变权缓冲算子构造及其性质

针对变权缓冲算子信息利用不充分以及权重选择问题, 提出一类新的平滑变权缓冲算子. 研究了该缓冲算子的性质, 证明了平滑变权缓冲算子对序列具有弱化作用并能够提升序列光滑性, 得出了平滑变权缓冲算子调节度的递推不等式; 通过多目标优化方法来确定可变权重取值, 构造可变权重的优化目标函数, 并结合遗传算法来确定权重的最优取值. 实例分析表明, 所提出的平滑变权缓冲算子能够有效提高建模精度.

Construction of buffer operator with smooth variable weight and its roperty

For the problem of not fully using information and how to optimizing the weight of buffer operator with variable eight, a new buffer operator with smooth variable weight is proposed. The property of the new buffer operator is studied, nd it is proved that the operator has weakening effect to the sequence, furthermore, operator’s recursive inequation of adjust  ntensity is obtained. Then a multi-criteria optimization method is proposed for optimizing weight, object functions are onstructed and optimal weight is determined by using the genetic algorithm. Finally, the example analysis shows that the uffer operator with smooth variable weight can improve the fitting accuracy of grey prediction model effectively.