基于连续指数支撑度和GICOWEHA算子的区间组合预测模型  

Interval combination forecasting model based on the continuous exponential support degree and GICOWEHA operator

作　　者：康超 彭可心 周礼刚[2,3] 陈喆栩 KANG Chao;PENG Kexin;ZHOU Ligang;CHEN Zhexu(School of Big Data and Statistics,Anhui University,Hefei 230601,China;School of Mathematical Sciences,Anhui University,Hefei 230601,China;Center for Applied Mathematics,Anhui University,Hefei 230601,China;School of Wen Dian,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学大数据与统计学院,安徽合肥230601 [2]安徽大学数学科学学院,安徽合肥230601 [3]安徽大学应用数学中心,安徽合肥230601 [4]安徽大学文典学院,安徽合肥230601

出　　处：《安徽大学学报(自然科学版)》2025年第2期28-38,共11页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(72171002,71771001,72271002,71901001,72201004);安徽省自然科学基金杰出青年基金资助项目(1908085J03);安徽省学术和技术带头人及后备人选学术基金资助项目(2018H179);安徽省高校学科(专业)拔尖人才学术资助项目(gxbjZD2020056)。

摘　　要：将连续区间有序加权平均(continuous interval ordered weighted average,简称COWA)算子、广义加权指数调和平均(generalized weighted exponential harmonic average,简称GWEHA)算子和诱导有序加权平均(induced ordered weighted average简称IOWA)算子相结合,提出一种广义诱导连续区间有序加权指数调和平均(generalized induced continuous interval ordered weighted average,简称GICOWEHA)算子,讨论其性质.基于该算子提出一种区间序列值的连续指数支撑度,并以该指标为准则提出一种基于连续指数支撑度和GICOWEHA算子的区间组合预测模型.最后,通过实例分析的结果对比表明,所建立的模型能有效提高预测精度.In this paper,a generalized induced continuous interval ordered weighted average(GICOWEHA)operator was proposed by combining continuous interval ordered weighted average(COWA)operator,generalized weighted exponential harmonic average(GWHEA)operator and induced ordered weighted average(IOWA)operator,and its properties were discussed.Based on this operator,a continuous exponential support degree of interval sequence value was proposed,and an interval combination forecasting model based on continuous exponential support degree and generalized ordered weighted expontial harmonic average(GICOWEHA)operator was proposed.Finally,the comparison of the results of the example analysis showed that the established model could effectively improve the forecasting accuracy.

关 键 词：广义有序加权指数调和平均算子 连续指数支撑度 组合预测 区间数 

分 类 号：O156[理学—数学]