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mathematics, interdisciplinary applications (15) 15
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Journal of Grey System, ISSN 0957-3720, 2014, Volume 26, Issue 3, pp. 55 - 68
This paper transforms fractional accumulated GM(1,1) model into generalized GM(1,1) model via matrix decomposition. Analogizing GM(1,1) model, the admissible... 
Matrix decomposition | Particle swarm optimization | Fractional accumulated GM(1,1) model | Admissible region of class ratio | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Fractional Accumulated GM(1,1) Model | Particle Swarm Optimization | Admissible Region of Class Ratio | Matrix Decomposition
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 07/2013, Volume 18, Issue 7, pp. 1775 - 1785
► We extend the traditional accumulation (with integer order) to fractional order accumulation in Grey system modelling. ► The relationship between the... 
Memory process | Grey system theory | GM (1, 1) model | Fractional order accumulation | CO2 emissions forecasting | emissions forecasting | GM (1,1) model | MATHEMATICS, APPLIED | OUTPUT | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | PREDICTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FORECASTING-MODEL | Memory | Analysis | Models
Journal Article
Renewable Energy, ISSN 0960-1481, 09/2019, Volume 140, pp. 70 - 87
Energy consumption is an international issue and plays an important role in the national energy security, especially for China of which the energy market is in... 
FANGBM(1,1) model | Renewable energy consumption | Particle swarm optimization | Fractional order accumulation | Five-Year Plan | Grey Bernoulli model | GREEN & SUSTAINABLE SCIENCE & TECHNOLOGY | INDUSTRY | OUTPUT | EMISSIONS | ENERGY & FUELS | GM 1,1 | ELECTRICITY CONSUMPTION | PREDICTION MODEL | SYSTEM MODEL | SOLAR-RADIATION | OPTIMIZATION | ECONOMIC-GROWTH
Journal Article
Journal of Grey System, ISSN 0957-3720, 2017, Volume 29, Issue 3, pp. 1 - 13
According to the grey system theory, GM(1,1) model is a prediction model, and it aims to construct the first differential model, which uses the background... 
Background value | Fractional order accumulation | GM((1,1) | Prediction error | Fractional Order Accumulation | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Prediction Error | Background Value
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 04/2016, Volume 40, Issue 7-8, pp. 5063 - 5076
Journal Article
Journal of Grey System, ISSN 0957-3720, 2015, Volume 27, Issue 4, pp. 52 - 62
In order to increase the stability of the grey prediction model and make sufficient use of new information of the grey system, this paper presents the... 
Fractional-order | Reverse accumulation | Grey prediction | Atmospheric pollutants | Perturbation bounds | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Perturbation Bounds | Grey Prediction | Reverse Accumulation | Atmospheric Pollutants
Journal Article
by Wu, WG and Ma, X and Zhang, YY and Wang, Y and Wu, XX
GREY SYSTEMS-THEORY AND APPLICATION, ISSN 2043-9377, 2019, Volume 9, Issue 2, pp. 232 - 250
Purpose The purpose of this paper is to study a fractional grey model FAGM(1,1,t) based on the GM(1,1,t) model and the fractional accumulated generating... 
FAGM | Fractional order accumulation | t) model | SECTOR | ELECTRICITY CONSUMPTION | TERTIARY INDUSTRY | GREY BERNOULLI MODEL | Particle swarm optimization | PREDICTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Grey theory | Health expenditure | SYSTEM MODEL | OPTIMIZATION | INDEX | ACCUMULATION | GMC
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 07/2018, Volume 41, Issue 10, pp. 3750 - 3763
By comparing the class ratio deviation and restoring error of first‐order accumulation with that of fractional‐order accumulation, a gray model for... 
fractional‐order accumulation | sequence with a nonhomogeneous index trend | gray system | background value | 3/8 Simpson formula | fractional-order accumulation | MATHEMATICS, APPLIED | GM 1,1 | GREY SYSTEM MODEL | GM(1,1) | Energy consumption | Accuracy | Sequences | Computer simulation | Mathematical models | Trends | Model accuracy | Accumulation
Journal Article
Journal of Grey System, ISSN 0957-3720, 2018, Volume 30, Issue 2, pp. 107 - 116
When building a prediction model, practical experience or real production conditions may produce some constraints for the parameters to be estimated, thus... 
Inequality Constraint | Non-linear Programming | Grey Prediction Model | SYSTEM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ALGORITHM | FRACTIONAL ORDER ACCUMULATION | GM(1,1)
Journal Article
by Li, YP and Chen, Z and Tao, LY and Liu, SF and Guo, XJ
JOURNAL OF GREY SYSTEM, ISSN 0957-3720, 2017, Volume 29, Issue 4, pp. 109 - 121
This paper presents a novel multi-variable grey prediction model GMI(1,N) based on grey incidence analysis. In the proposed forecasting model relationships... 
Sino-Russian Timber Trade Volume Forecasting | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Grey Prediction Model | Grey Incidence Analysis | FRACTIONAL ORDER ACCUMULATION | GM(1,1)
Journal Article
Journal of Grey System, ISSN 0957-3720, 2015, Volume 27, Issue 3, pp. 193 - 202
For complex equipment with multiple development phases, the reliability of the whole system will increase with timely correction strategies. It is... 
Complex equipment | Fractional order | Reliability growth | Grey Verhulst model | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Grey Verhilst Model | Reliability Growth | Fractional Order | FRACTIONAL ORDER ACCUMULATION | GREY | Complex Equipment | GM(1,1)
Journal Article
ISA Transactions, ISSN 0019-0578, 01/2020, Volume 96, pp. 255 - 271
The fractional order grey models have appealed considerable interest of research in recent years due to its high effectiveness and flexibility in time series... 
Natural gas consumption | Conformable fractional calculus | Grey system model | CFGM model | Conformable fractional accumulation | Fractional grey model | Statistics - Methodology
Journal Article
2017 32nd Youth Academic Annual Conference of Chinese Association of Automation (YAC), 05/2017, pp. 827 - 831
Gears have the highest rate of occurrence of failures in the wind turbine components. Therefore, strengthening the judgment of the gear running state in the... 
GM | Predictive models | 1) model | Forecasting | fractional order FGM | Gear | Grey Neural Network model | Fault trend prediction | Gears | Neural networks | Market research | Mathematical model | Time factors
Conference Proceeding
Textile Research Journal, ISSN 0040-5175, 8/2019, Volume 89, Issue 15, pp. 3067 - 3079
Journal Article
Journal of Grey System, ISSN 0957-3720, 2018, Volume 30, Issue 1, pp. 208 - 220
To reconstructing the micro-displacements on a vibrating surface with limited test samples, a modified r order Non-equidistant Prediction Model (r-NPM) is... 
Grey system | Vibration | Displacement prediction | Fractional order accumulation | Non-equidistant sequence | SYSTEM | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Grey System | TRANSDUCER | Non-equidistant Sequence | Fractional order Accumulation | Displacement Prediction
Journal Article
Journal Article
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