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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

Application of grey relation analysis to hydroelectric generation scheduling

TL;DR: In this article, an approach based on grey relation analysis is proposed for the scheduling of hydroelectric generations, where a heuristic rule based search algorithm is developed to reach a feasible suboptimal schedule which satisfies all practical constraints.
Journal ArticleDOI

Hourly cooling load prediction by a combined forecasting model based on Analytic Hierarchy Process

TL;DR: A case study shows that the combined forecasting model based on AHP may be better than the individual ones in predicting the building's hourly load for the future hours.
Journal ArticleDOI

Simultaneous optimization of smoke and NOx emissions in a stationary diesel engine fuelled with diesel–oxygenate blends using the grey relational analysis in the Taguchi method

TL;DR: In this article, the grey relational grade was obtained from the signal-to-noise (S/N) ratio using grey relational analysis (GRA). Based on this grade, the optimum level of factors was identified using response tables and response graphs.
Journal ArticleDOI

Multi-criteria group decision-making method for optimal selection of sustainable industrial building options focused on petrochemical projects

TL;DR: In this article, the authors developed a combinatory multi-criteria group decision-making framework for optimal selection of sustainable options of industrial buildings, considering uncertainty alongside various preference orders and risk attitudes of decision makers using utility functions.
Journal ArticleDOI

Parametric study of using only static response in structural damage detection

TL;DR: In this article, an analytical study of the relationship between damage characteristics (location and severity) and changes in displacement curvatures is presented, which can accurately locate single and multiple damages with different damage characteristics for specific load case.
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.