摘要
三角模糊数是复杂和不确定性预测系统的重要信息表达形式。引入刻画三角模糊数特征的3个指标,包括面积型中心、面积型散度和中界点。这些指标分别反映三角模糊数的精度、模糊程度和中点特征。在此基础上,提出了一种新的协同相关系数的概念,结合诱导有序加权几何平均算子(IOWGA),以三角模糊数左右区间的协同相关系数作为最优准则,建立了基于三角模糊数和协同相关系数的IOWGA算子区间组合预测模型。通过实例分析,证明了该模型的有效性和稳定性。
Triangular fuzzy number is an important information expression form of complex and uncertain forecasting system.Three metrics that characterize triangular fuzzy numbers were introduced in this paper,including area type center,area type scatter,and midpoint.These indicators reflected the accuracy,fuzzy degree and midpoint characteristics of triangular fuzzy numbers,respectively.On this basis,a new concept of joint correlation coefficient was proposed.Combining the induced ordered weighted geometric average(IOWGA)operator with the joint correlation coefficient of the left and right intervals of the triangular fuzzy number as the optimal criterion,the interval combined forecasting model of IOWGA operator based on triangular fuzzy number and joint correlation coefficients was established.Finally,the validity and stability of the model were proved by example analysis.
作者
童宇
叶知秋
陈华友
TONG Yu;YE Zhiqiu;CHEN Huayou(Stony Brook Institute,Anhui University,Hefei 230039,China;不详)
出处
《武汉理工大学学报（信息与管理工程版）》
CAS
2024年第4期625-630,共6页
Journal of Wuhan University of Technology：Information & Management Engineering
基金
国家自然科学基金项目(72371001)
安徽大学大学生创新训练计划项目(202210357272,202310357290)。
关键词
三角模糊数
面积型中心
协同相关系数
IOWGA算子
组合预测
triangular fuzzy number
area type center
collaborative correlation coefficient
IOWGA operator
combined forecasting
作者简介
童宇(2002-),男,硕士研究生,研究方向为统计预测与决策分析;通讯作者:陈华友(1969-),男,教授,研究方向为组合预测与决策分析.
