| 基于IOWA算子的区间组合预测方法 |
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| 引用本文： | 王晓,刘兮,陈华友,江立辉.基于IOWA算子的区间组合预测方法[J].武汉理工大学学报(信息与管理工程版),2010,32(2):221-225. |
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| 作者姓名： | 王晓 刘兮 陈华友 江立辉 |
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| 作者单位： | 1. 安徽大学,数学科学学院,安徽,合肥,230039
2. 安徽大学,数学科学学院,安徽,合肥,230039;合肥学院数学与物理系,安徽,合肥,230001 |
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| 基金项目： | 国家自然科学基金，安徽省优秀青年科技基金，安徽省自然科学基金，安徽高等学校省级教学研究基金，安徽高校青年教师科研基金 |
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| 摘 要： | 针对预测值与实际值都以区间数形式给出的组合预测问题,引进诱导有序加权平均(IOWA)算子,提出了以区间中心位置误差平方和与区间长度误差平方和的凸组合为准则的区间组合预测模型,给出了确定Ⅰ-OWA算子区间组合预测模型权系数的数学规划方法,实例分析表明,该模型能有效提高区间组合预测精度.
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| 关 键 词： | 区间数 IOWA算子 组合预测 数学规划 |
An Interval Combination Forecasting Method Based on IOWA Operators |
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| WANG Xiao,LIU Xi,CHEN Huayou,JIANG Lihui Postgraduate,School of Mathematical Sciences,Anhui University,Hefei ,China..An Interval Combination Forecasting Method Based on IOWA Operators[J].Journal of Wuhan University of Technology(Information & Management Engineering),2010,32(2):221-225. |
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| Authors: | WANG Xiao LIU Xi CHEN Huayou JIANG Lihui Postgraduate School of Mathematical Sciences Anhui University Hefei China |
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| Affiliation: | WANG Xiao,LIU Xi,CHEN Huayou,JIANG Lihui Postgraduate,School of Mathematical Sciences,Anhui University,Hefei 230039,China. |
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| Abstract: | With respect to the combination forecasting problem with forecast value and actual value which are interval numbers,induced ordered weighted averaging(IOWA) operators were introduced and a new combination forecasting model was proposed to minimize the sum of convex combination with square errors of interval central position and square errors of interval length.The IOWA weights were calculated by a mathematical programming model.Finally an example was illustrated to show this model improved the combination f... |
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| Keywords: | interval number IOWA operators combination forecasting mathematical programming |
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