基于序列势态和系统比重的TRA灰色关联度算法  

Degree of Grey Incidence Algorithm Based on the Trend and Ratio of the Sequences

作　　者：陈治西[1] 陈勇明[1] 王尔立[1] 

机构地区：[1]成都信息工程学院数学学院,四川成都610225

出　　处：《成都信息工程学院学报》2012年第4期385-389,共5页Journal of Chengdu University of Information Technology

基　　金：四川省教育厅自然科学基金资助项目(11ZB259);教育部人文社会科学青年研究基金资助项目(10YJCZH157);成都信息工程学院科研基金项目(KYTZ201001)对本文的资助

摘　　要：传统灰色关联度在分析构成因素系统时不能顾及因素序列分量占行为特征序列对应分量的比重,为此,通过斜率的相对变化率表征序列的发展态势,通过用紧邻均值化值的比来表征序列比重,综合这两个量,并用斜率之积的正负性来表征正负关联性,从而提出了一种称作TRA的灰色关联度。TRA灰色关联度具有规范性、整体性、对称性、唯一性和接近性等性质。对于由第一、二、三产业的生产总值构成的地区生产总值的构成因素系统,通过TRA关联度的分析表明分析结果是合理的。Since traditional grey incidence degree can not represent the proportion of the compoents of the factor sequence to the character sequence, the TRA grey incidence degree is established based on the forward trend and ratio of the factor sequence to the character sequence, the TRA grey incidence degree utilizes the relative rate of change to represent the trend of sequence and the nearest＋neighbor equalization value to represent the ratio of the factor sequence to the character sequence, and the positive and negative of the production of the slope to represent the positive and negative correlation of the sequences. The TRA grey incidence degree satisfies the principles of normalization, symmetry, uniqueness and proximity, thus can reflect the relevancy of the sequences. An example of the analysis to a factor system of the region domestic product that comprises the primary industry, secondary industry and tertiary industry shows validity and practicability of the TRA grey incidence degree.

关 键 词：系统工程 灰色系统 灰色关联度 发展势态 斜率 TRA灰色关联度 

分 类 号：N941.5[自然科学总论—系统科学]