Grey interpolation approach for small time-lag samples based on grey dynamic relation analysis

作     者：WANG Junjie DANG Yaoguo XU Ning DING Song 

作者机构：College of Economics and Management Nanjing University of Aeronautics and Astronautics College of Management Science and Engineering Nanjing Audit University 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2018年第29卷第1期

页      面：105-115页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 0802[工学-机械工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(71371098 71071077) Funding of Jiangsu Innovation Program for Graduate Education(KYZZ15 0093) Fundamental Research Funds for the Central Universities(2017301) Natural Science Fund Project of Colleges in Jiangsu Province(16KJD120001) Funding for Major Project of Jiangsu Social Science(16GLA001) Funding for Outstanding Doctoral Dissertation in Nanjing University of Aeronautics and Astronautics(BCXJ15-10) 

主　　题：grey interpolation grey relational analysis time lags programming problems 

摘      要：Given a non-equidistant sequence or an equidistant series with one or more outliers, a grey interpolation approach considering the time lags is established for producing the missing data or correcting the abnormal values. To accomplish this, a new grey incidence model, called the grey dynamic incidence model GDIM(t), is constructed for determining whether the factors are effective to the known factor and what the time lag is between a useful factor and the specified sequence. Based on the results of the GDIM(t) model, two programming problems are designed to obtain the upper and lower bounds of the unknown or abnormal values which are regarded as grey numbers. The solutions based on the particle swarm optimization(PSO) for the nonlinear programming problems are given. To explain how it can be used in practice, this new grey interpolation approach is applied to correct an abnormal value in the sequence of an agriculture environment problem.