Multi-variable weakening buffer operator and its application

Wu, Lifeng; Liu, Sifeng; Yang, Yingjie; Ma, Lihua; Liu, Hongxia

doi:10.1016/j.ins.2016.01.002

Cited by 33 publications

(16 citation statements)

References 9 publications

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“…In grey systems, however, a number of grey operators are applied to reveal the ground truth values of the involved grey numbers so as to establish a meaningful model to give a more reliable prediction. Here, we will illustrate this using the basic GM(1,1) model, which is the foundation for most other extended grey models [12], [13].…”

Section: Grey Modelsmentioning

confidence: 99%

Grey Systems, Grey Models and Their Roles in Data Analytics

Yang

Liu

2019

International Journal of Simulation: Systems, Science &Amp; Technology

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Section: Grey Modelsmentioning

confidence: 99%

Grey Systems, Grey Models and Their Roles in Data Analytics

Yang

Liu

2019

International Journal of Simulation: Systems, Science &Amp; Technology

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“…Essentially, the FOA can be regarded as a preprocessing method for the grey models, and it is also a general form of the well-known 1-AGO in the traditional Grey System Theory. With the success of the FOA, some researchers also mentioned that the variation of the preprocessing methods can be effective to improve the grey models, thus some new operators have also been proposed in recent years, such as the weakening buffer operator (WBO) [45,46], opposite-direction accumulation (ODA) [45] and also the inverse fractional order accumulation (IFOA) [47]. Above all, the introduction of the FOA has made significant contributions to the development of Grey System Theory, thus it has also been listed as one of the most achievements in the new millennium [48].…”

Section: Introductionmentioning

confidence: 99%

The conformable fractional grey system model

et al. 2020

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The fractional order grey models (FGM) have appealed considerable interest of research in recent years due to its higher effectiveness and flexibility than the conventional grey models and other prediction models. However, the definitions of the fractional order accumulation (FOA) and difference (FOD) is computationally complex, which leads to difficulties for the theoretical analysis and applications. In this paper, the new definition of the FOA are proposed based on the definitions of Conformable Fractional Derivative, which is called the Conformable Fractional Accumulation (CFA), along with its inverse operation, the Conformable Fractional Difference (CFD). Then the new Conformable Fractional Grey Model (CFGM) based on CFA and CFD is introduced with detailed modelling procedures. The feasibility and simplicity and the CFGM are shown in the numerical example. And the at last the comprehensive real-world case studies of natural gas production forecasting in 11 countries are presented, and results show that the CFGM is much more effective than the existing FGM model in the 165 subcases.

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“…In other words, the results of system operation are the final manifestation of the system under the influence of many factors, which can comprehensively reflect the evolution trend and development law of the system under the combined action of these factors [9,10]. GM(1,1) has many advantages [5,11], such as small amount of data needed, simple modeling process, and easy to learn and use. It has been widely used to solve various prediction problems in production and life [12].…”

Section: Introductionmentioning

confidence: 99%

Modeling Method of the Grey GM(1,1) Model with Interval Grey Action Quantity and Its Application

Zeng

Shi

2020

Complexity

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GM(1,1) is a univariate grey prediction model with incomplete structural information, in which the real number form of the simulation or prediction data does not conform to the Nonuniqueness Principle of Grey theoretical solution. In light of the network model of GM(1,1), the connotation of grey action quantity is systematically analyzed and the interval grey number form of grey action quantity is restored under uncertain influencing factors. A novel GM(1,1) model is then constructed. The new model has the basic characteristics of the grey model under incomplete information. Moreover, it can be fully compatible with the traditional GM(1,1) model. The developed model is employed to the natural gas consumption prediction in China, showing that its predicting rationality is much better than that of the traditional GM(1,1) model. It is worth mentioning that, for the first time, the grey property of GM(1,1) has been restored in structure, which is of significance for both academia and industry.

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Multi-variable weakening buffer operator and its application

Cited by 33 publications

References 9 publications

Grey Systems, Grey Models and Their Roles in Data Analytics

Grey Systems, Grey Models and Their Roles in Data Analytics

The conformable fractional grey system model

Modeling Method of the Grey GM(1,1) Model with Interval Grey Action Quantity and Its Application

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