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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

Sustainable development of sewage sludge-to-energy in China: Barriers identification and technologies prioritization

TL;DR: Wang et al. as discussed by the authors used grey Decision Making Trial and Evaluation Laboratory (DEMATEL) to identify the critical barriers that hinder the sustainable development of sludge-to-energy industry in China and investigate the cause-effect relationships among these barriers.
Journal ArticleDOI

Hybrid Control of a Wind Induction Generator Based on Grey–Elman Neural Network

TL;DR: This brief presents the design of an optimal wind energy control system for maximum power point tracking with the help of a grey predictor for the preprocessor, a high-performance online training Elman neural network (ENN) designed to derive the turbine speed needed to extract maximum power from wind.
Journal ArticleDOI

An extended grey forecasting model for omnidirectional forecasting considering data gap difference

TL;DR: An improved forecasting model based on the concept of this theory to enlarge the applicability of the grey forecasting model in various situations is proposed and a novel inverse accumulating generation operator is developed to enable omnidirectional forecasting.
Journal ArticleDOI

Prediction of compressive strength of recycled aggregate concrete based on gray correlation analysis

TL;DR: In this article, a gray correlation analysis (GCA) was proposed to predict the compressive strength of recycled aggregate concrete (RAC) specimens with different water-cement ratios and replacement levels of recycled coarse aggregate (RCA).
Journal ArticleDOI

Comparison of weighted grey relational analysis for software effort estimation

TL;DR: Six weighted methods, including nonweighted, distance-based, correlative, linear, nonlinear, and maximal weights, are proposed to be integrated into GRA for software effort estimation to conclude that weighted GRA can be a viable and alternative method for predicting software development effort.
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.