连续区间广义有序加权调和平均算子及其在区间组合预测中应用

摘要

在连续区间有序加权调和平均(Continuous ordered weighted harmonic averaging,C-OWHA)算子的基础之上,提出连续区间广义有序加权调和平均(Continuous generalized ordered weighted harmonic averaging,C-GOWHA)算子.对该算子进行拓展,提出了加权的连续区间广义有序加权调和平均算子、有序加权的连续区间广义有序加权调和平均算子、诱导有序加权的连续区间广义有序加权调和平均算子及组合的连续区间广义有序加权调和平均算子,以便能够用于计算区间数据组.此外,在诱导有序加权的连续区间广义有序加权调和平均算子的基础之上,以灰色趋势关联度为相关性指标,提出了基于灰色趋势关联度的诱导有序加权的连续区间广义有序加权调和平均算子的区间数组合预测模型,通过实例分析,表明该模型能够起到提高预测精度的作用.%On the basis of continuous ordered weighted harmonic averaging(C-OWHA)operator,this paper proposes a continuous generalized ordered weighted harmonic averaging(C-GOWHA)operator.Extending the operator,this paper proposes a weighted continuous generalized ordered weighted harmonic averaging(WC-GOWHA)operator,an ordered weighted continuous generalized ordered weighted harmonic averaging(OWC-GOWHA)operator,an induced ordered weighted continuous generalized ordered weighted harmonic averaging(IOWC-GOWHA)operator and a combined continuous generalized ordered weighted harmonic averaging(CC-GOWHA)operator so as to be used to calculate the interval data set.In addition,on the basis of IOWC-GOWHA operator,selecting gray trend relational degree as a correlation indicator,this paper proposes an interval number combination forecasting model based on gray trend relational degree and IOWC-GOWHA operator.The analysis results of a case show that the model can play a role in improving prediction accuracy.