一种基于IGOWMA算子和广义向量夹角余弦的最优区间组合预测模型  

An Optimal Interval Combination Forecasting Model Based on IGOWMA Operator and Generalized Vectorial Angle Cosine

作　　者：戴现朝 李浩[1,2] 周礼刚[2,3] 徐鑫[2,3] 包恒嘉 石学成 DAI Xianchao;LI Hao;ZHOU Ligang;XU Xin;BAO Hengjia;SHI Xuecheng(School of Big Data and Statistics,Anhui University,Hefei 230601;Anhui University Center for Applied Mathematics,Anhui University,Hefei 230601;School of Mathematical Sciences,Anhui University,Hefei 230601)

机构地区：[1]安徽大学大数据与统计学院,合肥230601 [2]安徽大学应用数学中心,合肥230601 [3]安徽大学数学科学学院,合肥230601

出　　处：《系统科学与数学》2022年第11期3060-3072,共13页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(72171002,71771001,71701001,71871001,71901001,71901088,72071001,72001001);安徽省自然科学基金杰出青年基金(1908085J03);安徽省学术和技术带头人及后备人选资助项目(2018H179);安徽省高校学科(专业)拔尖人才学术资助项目(gxbjZD2020056);安徽省自然科学基金(1808085QG211);高校优秀青年人才支持计划项目(gxyq2019236);安徽省高校人文社科基金重点项目(SK2019A0013);全国统计科学研究项目(2017LZ11);国家级大学生创新创业训练项目(202110357010)资助课题。

摘　　要：文章提出一种基于IGOWMA算子和广义向量夹角余弦的最优区间组合预测模型.首先提出一种诱导广义有序加权多重平均(Induced generalized ordered weighted multiple averaging,IGOWMA)算子,并研究其性质,其次以区间的中点和半径构造诱导变量,并分别构建基于IGOWMA算子和广义向量夹角余弦的区间中点和半径的最优组合预测模型,利用态度参数将其转化为单目标优化模型.最后,通过实例分析验证所提出预测方法的合理性和有效性.This paper proposes an optimal interval combination forecasting model based on the IGOWMA operator and the generalized vectorial angle cosine.Firstly,an induced generalized ordered weighted multiple averaging(IGOWMA) operator is proposed,and its properties are investigated.Secondly,the induced variables are constructed with the midpoint and radius of the intervals,and the optimal combination forecasting models are put forward by using the midpoint and radius of intervals based on the IGOWMA operator and the generalized vectorial angle cosine respectively,and the attitude parameter is used to transform them into a single objective optimization model.Finally,the rationality and effectiveness of the proposed forecasting method are verified through an example.

关 键 词：区间预测 IGOWMA算子 向量夹角余弦 组合预测 

分 类 号：O224[理学—运筹学与控制论]