KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 1

An optimized continuous fractional grey model for forecasting of the time dependent real world cases

Zafer ÖZTÜRK
Halis BİLGİL
Ümmügülsüm ERDİNÇ
Sayfa
308–326
Yayın Tarihi
2022-02-14
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The numerical results of three case studies show that the novel model's prediction accuracy is higher than other competitive models, and the proposed model is more reasonable for practical cases.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The new priority in the grey modelling is to build new models that have more accurate forecasting power than the previous ones.
📊
Temel Bulgular & Veri:This paper aims to develop the prediction performance of the existing continuous grey models.
💡
Sonuç & Katkı:The numerical results of three case studies show that the novel model's prediction accuracy is higher than other competitive models, and the proposed model is more reasonable for practical cases.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Grey Systems · Conformable fractional derivative · Fractional grey model

Abstract

The new priority in the grey modelling is to build new models that have more accurate forecasting power than the previous ones. This paper aims to develop the prediction performance of the existing continuous grey models. Therefore, a novel continuous grey model (OCCFGM(1,1)) is proposed with conformable fractional derivative. The numerical results of three case studies show that the novel model's prediction accuracy is higher than other competitive models, and the proposed model is more reasonable for practical cases.

🔖

Bu Makaleye Atıf Yap

ÖZTÜRK, Z., BİLGİL, H., ERDİNÇ, Ü. (2022). An optimized continuous fractional grey model for forecasting of the time dependent real world cases. Hacettepe Journal of Mathematics and Statistics, Cilt: 51 - Sayı: 1, 308–326. https://ajindex.com/articles/669258

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. A. Altan, S. Karasu and E. Zio, A new hybrid model for wind speed forecasting combining long short-term memory neural network, decomposition methods and grey wolf optimizer, Appl. Soft Comput. 100, 1-20, 2021
  2. S. Balochian and H. Baloochian, Improving grey prediction model and its application in predicting the number of users of a public road transportation system, Int. J. Intell. Syst. 30 (1), 104–114, 2021
  3. H. Bilgi, New grey forecasting model with its application and computer code, AIMS Mathematics 6 (2), 1497–1514, 2021
  4. P.Y. Chen and H.M. Yu, Foundation settlement prediction based on a novel NGM model, Math. Probl. Eng., Doi:10.1155/2014/242809, 2014
  5. J. Cui, S. Liu, B. Zeng and N. Xie, A novel grey forecasting model and its optimization, Appl. Math. Model 37 (6), 4399–4406, 2013
  6. J.L. Deng, Control problems of grey systems, Syst. Control. Lett. 1 (5), 288–294, 1982
  7. S. Ene and N. Öztürk, Grey modelling based forecasting system for return flow of end-of-life vehicles, Technol. Forecast. Soc. Change 115, 155–166, 2017
  8. Y. Hu, X. Ma, W. Li, W. Wu and D. Tu, Forecasting manufacturing industrial natural gas consumption of china using a novel time-delayed fractional grey model with multiple fractional order, Comp. Appl. Math. 39 (4), 1–30, 2020
  9. A.K. Jain, J. Mao and KM. Mohiuddin, Artificial neural networks: A tutorial, Computer 29 (3), 31–44, 1996
  10. S.A. Javed and S. Liu, Predicting the research output/growth of selected countries: application of even GM (1,1) and NDGM models, Scientometrics 115 (1), 395–413, 2018
  11. J. Jiang, T. Feng and C. Liu, An improved nonlinear grey Bernoulli model based on the whale optimization algorithm and its application, mathematical problems in engineering, Math. Probl. Eng., Doi:10.1155/2021/66917242021, 2021
  12. R. Khalil, M. Al Horani, Y. Abdelrahman and S. Mohammad, A new definition of fractional derivative, J. Comput. Appl. Math. 264, 65–70, 2014
  13. S. Li, X. Ma and C. Yang, A novel structure-adaptive intelligent grey forecasting model with full-order time power terms and its application, Comput Ind Eng 120, 53–67, 2018
  14. L. Liu, Y. Chen and L. Wu, The damping accumulated grey model and its application, Commun. Nonlinear Sci. Numer. Simul. 95, 1-14, 2021
  15. L. Liu and L. Wu, Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model, Appl. Math. Model. 89 (2), 1932–1948, 2021
  16. X. Ma, Research on a novel ker