Construction mechanism of whitenization weight function and its application in grey clustering evaluation

doi:10.21629/JSEE.2019.01.12

Journal of Systems Engineering and Electronics ›› 2019, Vol. 30 ›› Issue (1): 121-131.doi: 10.21629/JSEE.2019.01.12

• Systems Engineering • Previous Articles Next Articles

Construction mechanism of whitenization weight function and its application in grey clustering evaluation

Naiming XIE*(), Bentao SU(), Nanlei CHEN()

College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China

Received:2017-07-30 Online:2019-02-27 Published:2019-02-27
Contact: Naiming XIE E-mail:xienaiming@nuaa.edu.cn;subentao0312@foxmail.com;chennanlei@gmail.com
About author:XIE Naiming was born in 1981. He received his B.S, M.S and Ph.D degrees in grey systems theory of Nanjing University of Aeronautics and Astronautics (NUAA). Now he is a professor in College of Management & Economics of NUAA and an associate editor of Grey Systems:Theory and Application. His research interests include grey systems theory, production scheduling and control. E-mail:xienaiming@nuaa.edu.cn|SU Bentao was born in 1994. He received his B.S. degree in 2016, from College of Economics and Management, Nanjing University of Aeronautics and Astronautics where he is currently pursuing his M.S. degree. His research interests include grey system theory research, production planning and control. E-mail:subentao0312@foxmail.com|CHEN Nanlei was born in 1993. He received his B.S. degree in 2016, from College of Economics and Management, Nanjing University of Aeronautics and Astronautics where he is currently pursuing his M.S. degree. His research interests include grey system theory research, production planning and control. E-mail:chennanlei@gmail.com
Supported by:
the National Natural Science Foundation of China(71671090);the Aeronautical Science Foundation of China(2016ZG52068);the Liberal Arts and Social Sciences Foundation of the Ministry of Education (MOE) in China(15YJCZH189);the Qinglan Project for Excellent Youth or Middle-aged Academic Leaders in Jiangsu Province;This work was supported by the National Natural Science Foundation of China (71671090), the Aeronautical Science Foundation of China (2016ZG52068), the Liberal Arts and Social Sciences Foundation of the Ministry of Education (MOE) in China (15YJCZH189), and the Qinglan Project for Excellent Youth or Middle-aged Academic Leaders in Jiangsu Province

Abstract

Abstract:

The clustering evaluation can be used to scientifically classify the objects to be evaluated according to the information aggregation of various evaluation rules. In grey weighted clustering evaluation, the index clustering rule relies on the construction of the whitenization weight function, while the existing construction method of the linear function lacks the construction mechanism analysis and validity explanation. A normative construction principle is put forward by analyzing the construction mechanism of the function. Through proving the normative principle of the function, the basic modal function (BMF) is proposed and characterized by different function forms. Then, a new type of the whitenization weight function and its grey clustering evaluation model algorithm are given by studying the mechanism and nature of the construction of different forms of the function. Finally, the comparative study for self-innovation capability of defense science and technology industry (DSTI) is taken as an example. The results show that the different construction ways of the function have an effect on the clustering result. The proposed construction mechanism can better explain the index clustering rules and evaluation effectiveness, which will perfect the theoretical system of grey clustering evaluation and be applied to practice effectively.

Key words: whitenization weight function, grey system theory, grey clustering, evaluation

Naiming XIE, Bentao SU, Nanlei CHEN. Construction mechanism of whitenization weight function and its application in grey clustering evaluation[J]. Journal of Systems Engineering and Electronics, 2019, 30(1): 121-131.

Figures/Tables 13

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Index	$I_1$	$I_2 $	$I_3 $	$I_4 $	$I_5 $	$I_6 $	$I_7 $
Score	88	86	79	91	63	78	68

Index	Subclass	$f_p^q (\ast)$
$p = i$	$q = 1$	$f_i^1 [-, -, 60, 70]$
	$q = 2$	$f_i^2 [70, 75, 80, 85]$
	$q = 3$	$f_i^3 [75, 80, 85, 90]$
	$q = 4$	$f_i^4 [85, 90, -, -]$

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Construction mechanism of whitenization weight function and its application in grey clustering evaluation

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