一般灰数型面板数据关联分析模型及应用

doi:10.12305/j.issn.1001-506X.2023.03.16

系统工程与电子技术 ›› 2023, Vol. 45 ›› Issue (3): 755-761.doi: 10.12305/j.issn.1001-506X.2023.03.16

一般灰数型面板数据关联分析模型及应用

吴鸿华¹^,²^,*, 刘思峰¹, 方志耕¹

1. 南京航空航天大学经济与管理学院, 江苏南京 211106
2. 济南大学数学科学学院, 山东济南 250022

收稿日期:2021-06-15 出版日期:2023-02-25 发布日期:2023-03-09
通讯作者: 吴鸿华
作者简介:吴鸿华(1978—), 男, 副教授, 博士研究生, 主要研究方向为灰色系统理论
刘思峰(1955—), 男, 教授, 博士研究生导师, 博士, 主要研究方向为灰色系统理论、系统方法分析与模型
方志耕(1962—), 男, 教授, 博士研究生导师, 博士, 主要研究方向为可靠性复杂装备研制管理、可靠性工程、现代控制理论
基金资助:
国家自然科学基金(72071111);国家自然科学基金(71801127);国家自然科学基金(71671091);国家自然科学基金与英国皇家学会国际合作交流项目(71811530338);国家科技部科技创新引智基地项目(G20190010178);中国博士后科学基金(2019TQ0150);中央高校基本科研业务费专项基金(NC2019003);中央高校基本科研业务费专项基金(XBA19003)

Relational analysis model and its application for general grey number panel data

Honghua WU¹^,²^,*, Sifeng LIU¹, Zhigeng FANG¹

1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Received:2021-06-15 Online:2023-02-25 Published:2023-03-09
Contact: Honghua WU

摘要/Abstract

摘要：

对于由一般灰数型面板数据的指标排列顺序变换引起的灰色关联序不一致问题, 构建了灰色重心三角曲面关联分析模型。首先, 基于排列组合原理将样本矩阵分解为二元指标子矩阵, 并给出样本矩阵的一般灰数元素的核和上下界。其次, 给出由二元指标子矩阵相邻四点的上下界所确定的几何体的重心, 并确定了由核及重心所构成的空间重心三角曲面。然后, 以空间重心三角曲面作为曲顶的柱体体积, 构建了关联系数公式, 得到一般灰数型面板数据的灰色关联分析模型。最后, 将所提模型应用于复杂装备供货商的选择问题, 验证了所提模型的合理性和有效性。

关键词: 一般灰数, 面板数据, 关联分析, 重心

Abstract:

To solve the problem of inconsistent grey relational order caused by the index order transformation of general grey number panel data, a grey centroid triangular surface relational analysis model is built. Firstly, based on the permutation and combination principle, the sample matrix is decomposed into binary index submatrices, and the kernel and upper and lower bounds of the general grey number elements of the sample matrix are given. Secondly, the center of gravity of the geometry determined by the upper and lower bounds of the adjacent four points of the binary index submatrix is given, and the spatial center of gravity triangle surface composed of the kernel and the center of gravity is determined. Then, based on the volume of the cylinder with the triangular surface of the spatial center of gravity as the curved top, the relational coefficient formula is constructed, and the grey relational analysis model of the general grey number panel data is obtained. Finally, the proposed model is applied to the selection problem of complex equipment suppliers to verify its rationality and effectiveness.

Key words: general grey number, panel data, relational analysis, center of gravity

中图分类号:

N941.5

吴鸿华, 刘思峰, 方志耕. 一般灰数型面板数据关联分析模型及应用[J]. 系统工程与电子技术, 2023, 45(3): 755-761.

Honghua WU, Sifeng LIU, Zhigeng FANG. Relational analysis model and its application for general grey number panel data[J]. Systems Engineering and Electronics, 2023, 45(3): 755-761.

图/表 1

参考文献 30

1	刘思峰. 灰色系统理论及其应用[M]. 8版北京: 科学出版社, 2017.
	LIU S F . Grey systems theory and its applications[M]. 8th ed Beijing: Science Press, 2017.
2	DENG J L . Introduction to grey system theory[J]. Journal of Grey System, 1989, 1 (1): 1- 24.
3	NAEEM M S , AHMAD N , JAVED Z , et al. Multi-response optimisation for the development of an activated carbon web as interlining for higher electrical conductivity and EMI shielding using grey relational analysis[J]. Fibres & Textiles in Eastern Europe, 2021, 29 (1): 57- 65.
4	YIN L L , DUAN L Z , ZHANG Y R , et al. The investigation and analysis of the current situation of medical service price cognition of China with grey relational analysis theory[J]. Grey Systems: Theory and Application, 2019, 9 (2): 164- 174. doi: 10.1108/GS-10-2018-0045
5	HE X Y , LI L P , LIU X J , et al. Using grey relational analysis to analyze influential factor of hand, foot and mouth disease in Shenzhen[J]. Grey Systems: Theory and Application, 2019, 9 (2): 197- 206. doi: 10.1108/GS-11-2018-0060
6	LIU H Y , LIU S N , GUAN L Z . Cognition differences and improvement countermeasures of non-technical medical services based on grey correlation analysis[J]. Grey Systems: Theory and Application, 2019, 9 (2): 155- 163. doi: 10.1108/GS-09-2018-0041
7	付雅芳, 杨任农, 刘晓东, 等. 基于灰色关联分析的软件工作量估算方法[J]. 系统工程与电子技术, 2012, 34 (11): 2384- 2389. doi: 10.3969/j.issn.1001-506X.2012.11.34
	FU Y F , YANG R N , LIU X D , et al. Software effort estimation method based on grey relational analysis[J]. Systems Engineering and Electronics, 2012, 34 (11): 2384- 2389. doi: 10.3969/j.issn.1001-506X.2012.11.34
8	HSU C J , HUANG C Y . Comparison of weighted grey relational analysis for software effort estimation[J]. Software Quality Journal, 2011, 19, 165- 200. doi: 10.1007/s11219-010-9110-y
9	AZZEH M , NEAGU D , COWLING P I . Fuzzy grey relational analysis for software effort estimation[J]. Empirical Software Engineering, 2010, 15 (1): 60- 90. doi: 10.1007/s10664-009-9113-0
10	张军涛, 李尚生, 王旭坤. 基于灰色关联-模糊综合评判的雷达抗干扰性能评估方法[J]. 系统工程与电子技术, 2021, 43 (6): 1557- 1563.
	ZHANG J T , LI S S , WANG X K . Method of radar anti-jamming performance evaluation based on grey correlation-fuzzy comprehensive evaluation[J]. Systems Engineering and Electronics, 2021, 43 (6): 1557- 1563.
11	邓聚龙. 灰色控制系统[M]. 武汉: 华中工学院出版社, 1985.
	DENG J L . Grey control system[M]. Wuhan: Huazhong Co-llege of Technology Press, 1985.
12	刘思峰, 谢乃明, FORRESTJ. 基于相似性和接近性视角的新型灰色关联分析模型[J]. 系统工程理论与实践, 2010, 30 (5): 881- 887.
	LIU S F , XIE N M , FORREST J . On new models of grey incidence analysis based on visual angle of similarity and nearness[J]. System Engineering-Theory & Practice, 2010, 30 (5): 881- 887.
13	张可, 刘思峰. 灰色关联聚类在面板数据中的扩展及应用[J]. 系统工程理论与实践, 2010, 30 (7): 1253- 1259.
	ZHANG K , LIU S F . Extended clusters of grey incidence for panel data and its application[J]. System Engineering-Theory & Practice, 2010, 30 (7): 1253- 1259.
14	王正新, 党耀国, 沈春光. 三维灰色关联模型及其应用[J]. 统计与决策, 2011, 27 (15): 174- 176. doi: 10.13546/j.cnki.tjyjc.2011.15.018
	WANG Z X , DANG Y G , SHEN C G . Three-dimensional grey relational model and its application[J]. Statistics & Decision, 2011, 27 (15): 174- 176. doi: 10.13546/j.cnki.tjyjc.2011.15.018
15	钱吴永, 王育红, 党耀国, 等. 基于多指标面板数据的灰色矩阵关联模型及其应用[J]. 系统工程, 2013, 31 (10): 70- 74. doi: 10.3969/j.issn.1001-2362.2013.10.045
	QIAN W Y , WANG Y H , DANG Y G , et al. Grey matrix relational modeling and its application based on multivariate panel data[J]. Systems Engineering, 2013, 31 (10): 70- 74. doi: 10.3969/j.issn.1001-2362.2013.10.045
16	罗党, 张曼曼. 基于面板数据的灰色B型关联模型及其应用[J]. 控制与决策, 2020, 35 (6): 1476- 1482. doi: 10.13195/j.kzyjc.2018.1054
	LUO D , ZHANG M M . The grey incidence model of B-mode based on panel data and its applicaiton[J]. Control and Decision, 2020, 35 (6): 1476- 1482. doi: 10.13195/j.kzyjc.2018.1054
17	LIU Y , DU J L , LI J . A novel grey object matrix incidence clustering model for panel data and its application[J]. Scientia Iranica, 2021, 28 (1): 371- 385.
18	ZHANG K , ZHONG Q P , ZUO Y . Multivariate grey gradient incidence model and its application[J]. Grey Systems: Theory and Application, 2017, 7 (2): 236- 246. doi: 10.1108/GS-04-2017-0007
19	刘震, 党耀国, 钱吴永, 等. 基于面板数据的灰色网格关联度模型[J]. 系统工程理论与实践, 2014, 34 (4): 991- 996.
	LIU Z , DANG Y G , QIAN W Y , et al. Grey grid incidence model based on panel data[J]. System Engineering-Theory & Practice, 2014, 34 (4): 991- 996.
20	SUN J , DANG Y G , ZHU X Y , et al. A grey spatiotemporal incidence model with application to factors causing air pollution[J]. Science of the Total Environment, 2020, 759 (12): 143576.
21	LUO D , YE L L , ZHAI Y L , et al. Hazard assessment of drought disaster using a grey projection incidence model for the heterogeneous panel data[J]. Grey Systems: Theory and Application, 2018, 8 (4): 509- 526. doi: 10.1108/GS-05-2018-0020
22	吴鸿华, 穆勇, 屈忠锋, 等. 基于面板数据的接近性和相似性关联度模型[J]. 控制与决策, 2016, 31 (3): 555- 558.
	WU H H , MU Y , QU Z F , et al. The similarity and nearness relational degree based on panel data[J]. Control and Decision, 2016, 31 (3): 555- 558.
23	WU L F , LIU S F , YAO L G , et al. Grey convex relational degree and its application to evaluate regional economic sustainability[J]. Scientia Iranica, 2013, 20 (1): 44- 49.
24	吴鸿华, 屈忠锋. 基于面板数据的灰色曲率关联模型[J]. 控制与决策, 2020, 35 (5): 1072- 1076.
	WU H H , QU Z F . The grey curvature incidence model based on panel data[J]. Control and Decision, 2020, 35 (5): 1072- 1076.
25	WU H H , QU Z F . Gray clustering model based on the degree of dynamic weighted incidence for panel data and its application[J]. Grey Systems: Theory and Application, 2020, 10 (4): 413- 423. doi: 10.1108/GS-09-2019-0040
26	WANG J J , HIPEL K W , DANG Y G . An improved grey dynamic trend incidence model with application to factors causing smog weather[J]. Expert Systems with Applications, 2017, 87, 240- 251. doi: 10.1016/j.eswa.2017.06.012
27	ZHANG K , CUI L , YIN Y . A multivariate grey incidence model for different scale data based on spatial pyramid pooling[J]. Journal of Systems Engineering and Electronics, 2020, 31 (4): 770- 779. doi: 10.23919/JSEE.2020.000052
28	LIU S F , FANG Z G , YANG Y J , et al. General grey numbers and their operations[J]. Grey Systems: Theory and Application, 2012, 2 (3): 341- 349. doi: 10.1108/20439371211273230
29	闫书丽, 刘思峰, 朱建军, 等. 基于相对核和精确度的灰数排序方法[J]. 控制与决策, 2014, 29 (2): 315- 319.
	YAN S L , LIU S F , ZHU J J , et al. The ranking method of grey numbers based on relative kernel and degree of accuracy[J]. Control and Decision, 2014, 29 (2): 315- 319.
30	蒋诗泉. 基于一般灰数的灰色关联决策模型及其应用研究[D]. 南京: 南京航空航天大学, 2018.
	JIANG S Q. Research on model and application of grey incidence decision making based on general grey number[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2018.

供货商	(s₁, s₂)	(s₁, s₃)	(s₂, s₃)
U₁	0.943	0.975	0.899
U₂	0.797	0.887	1.000
U₃	0.726	0.802	0.896

[1]	陈江美, 张文德. 基于灰关联分析和时空偏好特征的兴趣点推荐算法[J]. 系统工程与电子技术, 2022, 44(6): 1934-1941.
[2]	王哲, 李建华, 刘子杨, 康东. 基于功能依赖的网络信息体系建模及重心分析[J]. 系统工程与电子技术, 2021, 43(10): 2876-2883.
[3]	林圣琳, 李伟, 马萍, 杨明. 基于Hilbert-Huang变换的仿真模型排序评估方法[J]. 系统工程与电子技术, 2017, 39(9): 2137-2142.
[4]	徐喆垚, 齐乃明, 孙启龙, 王田野. 航天器三自由度模拟器自动配平[J]. 系统工程与电子技术, 2015, 37(5): 1124-1132.
[5]	胡玉伟，马萍，杨明，王子才. 一种时频结合分析的仿真结果动态一致性检验方法[J]. Journal of Systems Engineering and Electronics, 2013, 35(3): 643-649.
[6]	付雅芳, 杨任农, 刘晓东, 王琳. 基于灰色关联分析的软件工作量估算方法[J]. Journal of Systems Engineering and Electronics, 2012, 34(11): 2384-2389.
[7]	郭昆，张岐山. 基于灰关联分析的K匿名方法及其在聚类中的应用[J]. Journal of Systems Engineering and Electronics, 2011, 33(9): 2139-2143.
[8]	蒋英杰, 孙志强, 宫二玲, 谢红卫. 情景环境与人为差错的对应关系分析方法[J]. Journal of Systems Engineering and Electronics, 2011, 33(12): 2782-2787.
[9]	吴静，吴晓燕，陈永兴，滕江川. 基于改进灰色关联分析的仿真模型验证方法[J]. Journal of Systems Engineering and Electronics, 2010, 32(8): 1677-1679.
[10]	王靖程，诸文智，张彦斌. 基于面积的改进灰关联度算法[J]. Journal of Systems Engineering and Electronics, 2010, 32(4): 777-779.
[11]	王友军, 吕绪良, 胡江华. 伪装遮障设计方案优选的灰色关联分析法[J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 618-620.
[12]	张鹏, 黄开枝, 贺晓珺, 卫红权. 基于组合权重的异构无线网络选择算法[J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2501-2505.

一般灰数型面板数据关联分析模型及应用

Relational analysis model and its application for general grey number panel data

RichHTML

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

图/表 1

参考文献 30

相关文章 12

编辑推荐

Metrics

本文评价