Analysis and prediction of the width of spreading carbon fiber tow based on gray system theory

Zhou, Qing; Wu, Guangzong; Wang, Zhenxi; Wang, Bing; Chen, Ge; Sun, Zhihong

doi:10.1002/app.50069

Cited by 4 publications

(1 citation statement)

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“…The classical GMð1; 1Þ model, as the core of the grey prediction theory, is a common method to deal with uncertainty prediction problems with "few data and little information" (Deng, 1990(Deng, , 1996. With a growing number of further studies and the continuous development of grey prediction theory, many forms of grey prediction models, such as PFSMð1; 1Þ, CFNGMð1; 1Þ and MGMð1; nÞ (Li et al, 2021;Xu et al, 2020;Zhou et al, 2021) have been developed.…”

Section: Introductionmentioning

confidence: 99%

Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application

Гонг

Zeng

et al. 2021

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PurposeThe purpose of this paper is to overcome the weakness of the traditional model, in which the grey action quantity is a real number and thus leads to a “unique solution” and to build the model with a trapezoidal possibility degree function.Design/methodology/approachUsing the system input and output block diagram of the model, the interval grey action quantity is restored under the condition of insufficient system influencing factors, and the trapezoidal possibility degree function is formed. Based on that, a new model able to output non-unique solutions is constructed.FindingsThe model satisfies the non-unique solution principle of the grey theory under the condition of insufficient information. The model is compatible with the traditional model in structure and modelling results. The validity and practicability of the new model are verified by applying it in simulating the ecological environment water consumption in the Yangtze River basin.Practical implicationsIn this study, the interval grey number form of grey action quantity is restored under the condition of insufficient system influencing factors, and the unique solution to the problem of the traditional model is solved. It is of great value in enriching the theoretical system of grey prediction models.Social implicationsTaking power consumption as an example, the accurate prediction of the future power consumption level is related to the utilization efficiency of the power infrastructure investment. If the prediction of the power consumption level is too low, it will lead to the insufficient construction of the power infrastructure and the frequent occurrence of “power shortage” in the power industry. If the prediction is too high, it will lead to excessive investment in the power infrastructure. As a result, the overall surplus of power supply will lead to relatively low operation efficiency. Therefore, building an appropriate model for the correct interval prediction is a better way to solve such problems. The model proposed in this study is an effective one to solve such problems.Originality/valueA new grey prediction model with its interval grey action quantity based on the trapezoidal possibility degree function is proposed for the first time.

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Section: Introductionmentioning

confidence: 99%

Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application

Гонг

Zeng

et al. 2021

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Chitosan-doped carbon nanotubes encapsulating spread carbon fiber composites with superior mechanical, thermal, and electrical properties

Zhang

Ling

et al. 2022

Composites Science and Technology

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Research on Wasp population based on Gray Prediction and Fuzzy Analytic hierarchy process

2021

J. Phys.: Conf. Ser.

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The invasion of exotic species should be paid attention to because of its severe consequences, and governments have constructed monitoring and tracking system to collect people’s sightings of species. For example, Asian giant hornet, an exotic species for North American countries was first discovered in September, 2019. Interpretations based on received reports are of essential to master the current situation of species and to predict its spread. However, there is a considerable number of mistake reports, it is necessary to select the most likely positive reports out of mountains of reports to be detailly investigate first. In this paper, two main problems are focused: interpretation of historical reports and strategy of prioritization. First of all, this paper preprocesses the image data based on Gaussian filtering and convolution neural network to make it as balanced as possible. In addition, the image consists of a wide range of array data. Proper treatment can improve the efficiency of analysis. Then, construct the GPSM model (Gray Predicting Spread Model) based on gray prediction to measure the spread of the pest. From the historical positive sighting location provided in the dataset, the GPSM model is able to output the predicted next location following the previous principle. If the distance between predicted location and current outbreak area are significant, a spread can be concluded. Tests for the GPSM model shows the model has a very high level of precision

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Analysis and prediction of the width of spreading carbon fiber tow based on gray system theory

Cited by 4 publications

References 20 publications

Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application

Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application

Chitosan-doped carbon nanotubes encapsulating spread carbon fiber composites with superior mechanical, thermal, and electrical properties

Research on Wasp population based on Gray Prediction and Fuzzy Analytic hierarchy process

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Analysis and prediction of the width of spreading carbon fiber tow based on gray system theory

Cited by 4 publications

References 20 publications

Development of the GM(1,1,⊗b) model with a trapezoidal possibility function and its application

Development of the GM(1,1,⊗b) model with a trapezoidal possibility function and its application

Chitosan-doped carbon nanotubes encapsulating spread carbon fiber composites with superior mechanical, thermal, and electrical properties

Research on Wasp population based on Gray Prediction and Fuzzy Analytic hierarchy process

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Product

Resources

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Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application

Development of the GM(1,1,⊗_b) model with a trapezoidal possibility function and its application