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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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Erratum to: Optimization of machining characteristics in electric discharge machining of 6061Al/Al2O3p/20P composites by grey relational analysis

TL;DR: In this article, the grey relational analysis (GRA) was applied to optimise parameters for electrical discharge machining process of 6061Al/Al2O3p/20P aluminium metal matrix composites.
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Adaptive policy responses to water shortage mitigation in the arid regions--a systematic approach based on eDPSIR, DEMATEL, and MCDA.

TL;DR: According to the results, mitigating the water shortage in Yazd could be feasible by implementation of such key adaptive policy-responses as providing effective law enforcement, updating standards and regulations, providing social learning, and boosting stakeholders’ collaboration.
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An intelligent integrated optimization system for the proportioning of iron ore in a sintering process

TL;DR: In this paper, an intelligent integrated optimization system (IIOS) was developed for the proportioning step, which contains two phases: the first and second proportionings, and the predicted quality indices were fed back to the optimizations of the first two proportionings to find feasible optimal dosing schemes.
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Groundwater inflow prediction model of karst collapse pillar: a case study for mining-induced groundwater inrush risk

TL;DR: In this paper, a new parameter optimization scheme of NGBM using the genetic algorithm (GA) was presented, where the power index r of Bernoulli differential equation and production coefficient of the background value were considered as decision variables, and the prediction mean absolute percentage error was taken as the optimization objective.
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A genetic algorithm based grey goal programming (G3) approach for parts supplier evaluation and selection

TL;DR: In this article, an integrated genetic algorithm based grey goal programming (G3) approach is proposed to solve the part supplier selection problem, where both qualitative and quantitative factors at once in one model and to use the grey theory to cover the lack of inform...
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.