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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

An optimized grey model for annual power load forecasting

TL;DR: The proposed Rolling-ALO-GM model shows much better forecasting performance than Grey Modelling, and Ant Lion Optimizer with Rolling mechanism can significantly improve annual power load forecasting accuracy.
Journal ArticleDOI

Optimization of EDM process for multiple performance characteristics using Taguchi method and Grey relational analysis

TL;DR: In this article, the optimal machining conditions under which the micro-hole can be formed to a minimum diameter and a maximum aspect ratio were determined by using the Grey relational analysis theory to resolve the complicated interrelationships among the multiple performance characteristics.
Journal ArticleDOI

Short-term freeway traffic parameter prediction

TL;DR: Three Grey System theory models for short term traffic speed prediction studied demonstrated better accuracy than other tested nonlinear models, and the Verhulst model with Fourier error correction demonstrates the best accuracy.
Journal ArticleDOI

Application of grey fuzzy logic for the optimization of drilling parameters for CFRP composites with multiple performance characteristics

TL;DR: In this paper, the optimal combination of drilling parameters is chosen using grey relational analysis to improve the quality of the holes drilled, which is based on five different output performance characteristics, namely, thrust force, torque, entry delamination, exit delamination and eccentricity of the hole.
Journal ArticleDOI

Modelling grey uncertainty with Fuzzy Grey Cognitive Maps

TL;DR: An innovative and flexible model based on Grey Systems Theory and Fuzzy Cognitive Maps called Fuzzed Grey Cognitive Maps (FGCM) is proposed, which can be adapted to a wide range of problems, specially in multiple meaning-based environments.
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.