摘要
在有序加权平均(OWA)算子概念的基础上,提出有序加权调和平均(OWHA)算子及诱导有序加权调和平均(IOWHA)算子的概念,讨论它们的一些性质。同时指出现有的加权调和平均组合预测方法存在赋权的缺陷,建立新的基于IOWHA算子的组合预测模型,给出了IOWHA权系数的确定的数学规划方法。最后实例分析表明该模型能有效提高组合预测精度。
On the basis of ordered weighted averaging(OWA)operators,two concepts of ordered weighted har-monic averaging(OWHA)operators and induced ordered weighted harmonic averaging(IOWHA)operators are proposed in this paper,and their properties are discussed.It is pointed out that there are some shortcomings in the weighting harmonic averaging combination forecasting model at present.Based on the concept of IOWHA op-erator,the new combination forecasting model is constructed,and its weights are calculated by a mathematical programming model.Finally,some examples show that the model can improve the combination forecasting accu-racy effectively.
出处
《中国管理科学》
CSSCI
2004年第5期35-40,共6页
Chinese Journal of Management Science
基金
国家自然科学基金资助项目(70101003)
中国博士后科学基金资助项目(20040350209)
关键词
IOWHA算子
组合预测
倒数误差
二次规划
IOWHA operator
combination forecasting
reciprocal errors
quadratic programming
