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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

Analysis of mechanical properties for tea stem using grey relational analysis coupled with multiple linear regression

TL;DR: Wang et al. as discussed by the authors investigated the relationship between mechanical properties of tea stem and their influence factors to improve the picking quality of tea plucking machine, and the results showed that the cellulose content, bending strength, shearing strength, stem diameter and moment of inertia generally increased with stem segment number.
Journal ArticleDOI

Study on carbon epoxy composite surfaces machined by abrasive water jet machining

TL;DR: In this article, traditional machining of carbon epoxy composite material is difficult due to excessive tool wear, excessive stresses and heat generation, delamination, high surface waviness, etc.
Journal ArticleDOI

Measurement of city sustainability based on the grey relational analysis: The case of 15 sub-provincial cities in China

TL;DR: Wang et al. as mentioned in this paper measured the sustainability level of 15 sub-provincial cities in China from the perspective of multi-criteria decision making (MCDM) and built a criteria system from three dimensions of Economic Development, Social Progress, and Ecological Environment.
Journal ArticleDOI

Optimisation of multiperformance characteristics in electric discharge machining of Aluminium Matrix Composites (AMCs) using Taguchi DOE methodology

TL;DR: This paper presents an investigation on the optimisation of process parameters for the Electric Discharge Machining (EDM) of 6061Al/Al2O3p/20p work specimens by employing the Taguchi Design of Experiment (DOE) methodology.
Proceedings ArticleDOI

Using grey prediction theory to reduce handoff overhead in cellular communication systems

TL;DR: The simulation results show that the proposed algorithm with grey theory obtains excellent performance because it not only minimizes the number of performing handoff, but also has a very short calculating time.
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.