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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

Applying grey model to prioritise technical measures in quality function deployment

TL;DR: In this paper, a grey model is applied to determine the priority of technical measures by evaluating the impact of each technical measure in the system and the technical measure with the highest impact is considered to be the most important technical measure.
Journal ArticleDOI

Optimization of Dynamic Multi-Response Problems Using Grey Multiple Attribute Decision Making

TL;DR: In this article, a practical and systematic procedure to resolve dynamic multi-response problems based on Taguchi's parameter design is presented, where the quality loss function is initially applied to assess the quality performance for each response, and the technique for order preference by similarity to the ideal solution (TOPSIS) associated with the multiple attribute decision-making (MADM) method is incorporated into the Grey relational model of the Grey system theory.
Journal ArticleDOI

Tribological Performance Optimization of Al-7.5% SiCp Composites Using the Taguchi Method and Grey Relational Analysis

TL;DR: In this article, an experimental study of tribological performance of Al-7.5% SiCp metal matrix composite and optimization of the tribological testing parameters based on the Taguchi method coupled with grey relational analysis is considered.
Journal ArticleDOI

Using grey relational analysis to analyze the medical data

TL;DR: The basic steps and formulae of GRA are introduced and GRA is used to analyze the experiment medical data, clinical trial data, data of clinical study and ambulatory and grouping medical data.
Journal ArticleDOI

Adaptive Firefly Algorithm: Parameter Analysis and its Application

TL;DR: The results demonstrated improved variants can rebuild the tertiary structure with the average root mean square deviation less than 0.4Å and 1.5Å from the native constrains with noise free and 10% Gaussian white noise.
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.