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Open AccessJournal ArticleDOI

Introduction to Grey system theory

J. L. Deng
- 01 Nov 1989 - 
- Vol. 1, Iss: 1, pp 1-24
TLDR
The Grey Systeni and its applications are interdisciplinary, cutting across a variety of specialized fields, and it is evident that Grey System theory stands the test of time since 1982 as mentioned in this paper.
Abstract
Grey System theory was initiated in 1982 [7]. As far as information is concerned, the systems which lack information, such as structure message, operation mechanism and behaviour document, are referred to as Grey Systems. For example, the human body, agriculture, economy, etc., are Grey Systems. Usually, on the grounds of existing grey relations, grey elements, grey numbers (denoted by 8 ) one can identify which Grey System is, where \"grey\" means poor, incomplete, uncertain, etc. The goal of Grey Systeni and its applications is to bridge the gap existing between social science and natural science. Thus, one can say that the Grey System theory is interdisciplinary, cutting across a variety of specialized fields, and it is evident that Grey System theory stands the test of time since 1982. As the case stands, the developn~ent of the Grey System-as well as theoretical topic-is coupled with clear applications of the theory in assorted fields. The conccept of the Grey System, in its theory and successful application, is now well known in China. The application fields of the Grey System involve agriculture [23, 77-81, 911, ecology [59], economy [61, 102, 103, 1041, meteorology [58, 74,911, medicine [55, 891, history [63, 641, geography [I], industry [61, earthquake [73, 87, 881, geology [76, 1 191, hydrology [98, 1 121, irrigation strategy [261, military affairs, sports [116], traffic [67], management [30, 97, 1051, material science [82, 831, environment [ 1081, biological protection [69,70], judicial system [loo], etc. Projects which have been successfully completed with the Grey System theory and its applications are as follows: 1. Regional econonlic planning for several provinces in China; 2. To forecast yields of grain for some provinces in China:

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Citations
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Journal ArticleDOI

Forecast of coal consumption in Gansu Province based on Grey-Markov chain model

TL;DR: In this paper, the GM (1,1) forecasting model of coal consumption in Gansu was established, and the accuracy of the model was tested based on the forecast of the coal consumption of the province in the past two decades, the results showed that the predicted average relative error was 0.08881.
Journal ArticleDOI

Risk analysis for clean and sustainable production in a urea fertilizer industry

TL;DR: In this article, a fuzzy methodology approach based framework for carrying the risk analysis of a real industrial system of a urea fertilizer industry located in northern part of India was developed. And the proposed framework has been tested with its application on an ammonia synthesis system of the considered process industry.
Journal ArticleDOI

Optimisation of electrical discharge machining process with CuW powder metallurgy electrode using grey relation theory

TL;DR: In this paper, an attempt has been made to correlate the usefulness of powder metallurgy (PM) electrodes in electrical discharge machining (EDM), with the help of experimentation on AISID2 steel in kerosene with CuW (25% Cu and 75% W) PM electrode.
Journal ArticleDOI

A Critical Review: Shape Optimization of Welded Plate Heat Exchangers based on Grey Correlation Theory

TL;DR: The current study exposed not only the inappropriate execution of Deng’s Grey Relational Analysis model, but also some miscalculations that make the reproducibility of the certain results in that publication problematic, and are highlighted in the current study.
Journal ArticleDOI

Effects of deposition parameters on the structure and mechanical properties of high-entropy alloy nitride films

TL;DR: In this paper, the effect of deposition parameters (dc power, substrate temperature, N2/(N2+Ar) flow rate and substrate bias) on the microstructure, mechanical and tribological properties of high-entropy alloy (AlCrNbSiTiV)N nitride films are prepared using direct current (dc) reactive magnetron sputtering, with an equiatomic AlCrNiTiV alloy target.
References
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Journal ArticleDOI

Control problems of grey systems

TL;DR: In this paper, the stability and stabilization of a grey system whose state matrix is triangular is studied and the displacement operator and established transfer developed by the author are the indispensable tool for the grey system.
Book ChapterDOI

Grey Decision Making and its Use for The Determination of Irrigation Strategies

TL;DR: The derivation of an irrigation strategy for the People’s Victory Channel is outlined, and experience of recent years proves that the effectiveness of this strategy is satisfactory.
Journal Article

The least parameters controller of decentralized control system

Deng J
TL;DR: In this article, the existential theorem and the transfer function of the most economical controller by which the poles assignment for the given system may be obtained, are proposed, and the simplest structure and the least parameters controller to stabilize the given decentralized control system are studied.
Journal Article

Sufficient Condition for Stability of Grey Systems and Its Application in the Analysis of Stability of Linear Time-Varying Systems

TL;DR: In this article, the problem of stability of grey linear time-invariant systems is investigated in virtue of the properiest of non-negative irreducible matrices, and the sufficient criterion for stability of gray linear time invariant systems are given, which is helpful to the analysis of the stability of line-time-varying systems as well as grey systems.