NDLI: On the new model system and framework of grey system theory

Content Provider	IEEE Xplore Digital Library
Author	Sifeng Liu Liangyan Tao Naiming Xie Yingjie Yang
Copyright Year	2015
Description	Author affiliation: Inst. for Grey Syst. Studies, Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China (Sifeng Liu; Liangyan Tao; Naiming Xie) \|\| Centre for Comput. Intell., De Montfort Univ., Leicester, UK (Yingjie Yang)
Abstract	The basic framework of grey system theory initiated by Professor Julong Deng, the founder of grey system theory, is introduced here. The most often used new thinking, methods, and models of grey system theory are presented in this paper, such as algorithm rules of grey numbers based on the “Kernel” and the degree of greyness of grey numbers, the concept of the general grey number, the synthesis axiom of degree of greyness of grey numbers and their operations; the most used weakening buffer operator which has good properties for the general form of buffer operator of grey sequence operator; the four basic models of GM(1,1), such as Even Grey Model (EGM), Original Difference Grey Model (ODGM), Even Difference Grey Model (EDGM), Discrete Grey Model (DGM), the suitable sequence type of each basic model, and the suitable range of the most often used grey forecasting model; the absolute degree of grey incidence, the relative degree of grey incidence, the synthetic degree of grey incidence, the similarity degree of grey incidence, the closeness degree of grey incidence and the three dimensions absolute degree of grey incidence in grey incidence analysis models; the grey cluster model based on mixed center-point and end-point mixed triangular whitenization weight functions; the multi-attribute intelligent grey target decision model, the two stages decision model with grey synthetic measure of grey decision model; grey game model, grey input-output model of grey combined models; and the problems of robust stability for grey stochastic time-delay systems of neutral type, distributed-delay type and neutral distributed-delay type of grey control, etc. The reader could know the general picture of research and the developing trends of grey system theory from this paper, and a new model system and framework of grey system theory will have been presented at last.
Sponsorship	IEEE
Starting Page	1
Ending Page	11
File Size	2523627
Page Count	11
File Format	PDF
ISBN	9781479983742
e-ISBN	9781479983759
DOI	10.1109/GSIS.2015.7301810
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-08-18
Publisher Place	UK
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	New model system and framework Grey system Grey cluster model Predictive models Drives Analytical models Buffer operator Grey control Operations of grey numbers Grey forecasting model Grey decision model Data models Grey incidence analysis model Combined grey model Mathematical model Time factors Kernel
Content Type	Text
Resource Type	Article

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