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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

Optimisation of machining parameters for hard machining: grey relational theory approach and ANOVA

TL;DR: In this paper, an orthogonal array, grey relations, grey relational coefficients and analysis of variance (ANOVA) are applied to study the performance characteristics of machining process parameters such as cutting speed, feed, depth of cut and width of cut with consideration of multiple responses, i.e. volume of material removed, surface finish, tool wear and tool life.
Journal ArticleDOI

Forecasting integrated circuit output using multivariate grey model and grey relational analysis

TL;DR: This work proposes a new prediction approach using the multivariate grey model combined with grey relational analysis and results indicate that the proposed a combined method provides significantly improvement over the traditional methods in both forecasting techniques and in scanning variables.
Journal ArticleDOI

A Combined Fuzzy-AHP and Fuzzy-GRA Methodology for Hydrogen Energy Storage Method Selection in Turkey

TL;DR: A Buckley extension based fuzzy Analytical Hierarchical Process and linear normalization based fuzzy Grey Relational Analysis combined Multi Criteria Decision Making (MCDM) methodology is proposed, which can be applied to a complex decision process.
Journal ArticleDOI

A Systematic Review of Fuzzy Formalisms for Bearing Fault Diagnosis

TL;DR: The main contribution is an updated, unbiased, and (to a higher extend) repeatable search, review, and analysis of the available approaches resorting to fuzzy formalisms in this trendy topic.
Journal ArticleDOI

A novel hybrid social media platform selection model using fuzzy ANP and COPRAS-G

TL;DR: A novel analytical framework for social media platform selection is proposed that integrates the Analytic Network Process with fuzzy set theory and the COmplex PRoportional ASsessment of alternatives with Grey relations (COPRAS-G) method.
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.