摘要
文章将三角模糊数序列用等量信息的面积序列、中界点序列、重心序列三个指标序列进行替代,保持了三角模糊数的完备性和整体趋势。定义了三角模糊数左右区间概念,提出了一种区间相似度的度量公式,将三角模糊数左右区间的相似度作为最优准则的度量指标,通过引入偏好系数将其转化为单目标优化模型,并引入诱导有序加权几何平均算子(IOWGA),建立了基于区间相似度的IOWGA算子的变权系数三角模糊数组合预测模型。通过实例分析验证了模型的有效性,并对偏好系数作出了灵敏度分析。
This paper replaces the triangular fuzzy number sequence with the three index sequences of the area sequence,the middle boundary point sequence and the center of gravity sequence of the equal information,so as to maintain the completeness and the overall trend of the triangular fuzzy number.Firstly,the paper defines the concept of triangular fuzzy numbers’left and right intervals,and proposes a measurement formula of interval similarity.Then,taking the similarity of triangular fuzzy numbers’left and right intervals as the measurement index of the optimal criterion,the paper introduces the preference coefficient to transform it into a single objective optimization model,and brings in the induced ordered weighted geometric average operator(IOWGA)to establish a variable weight coefficient triangular fuzzy number combination forecasting model of IOWGA operator based on interval similarity.Finally,the paper verifies the validity of the model by an example analysis,and also makes sensitivity analysis on the preference coefficient.
作者
谢小军
马虹
朱宁
杨付贵
Xie Xiaojun;Ma Hong;Zhu Ning;Yang Fugui(Guangzhou College of Technology and Business,Guangzhou 510850,China;Guangdong University of Finance,Guangzhou 510521,China;Institute of Information Technology,Guilin University of Electronic Technology,Guilin Guangxi 541004,China)
出处
《统计与决策》
CSSCI
北大核心
2020年第23期23-27,共5页
Statistics & Decision
基金
广西自然科学基金资助项目(2016GXNSFBA380102)
广州工商学院院级科研课题立项项目(KA201933)。
关键词
三角模糊数
区间相似度
IOWGA算子
组合预测模型
triangle fuzzy number
interval similarity
IOWGA operator
combination forecasting model
