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image of A Multivariate Intuitionistic Fuzzy Grey Model for Forecasting Electricity Consumption

Abstract

Background

Whether in the short, medium or long term, forecasting electricity consumption has always been an essential study area. In the literature, many methods are used for future forecasting and are being improved daily to achieve better results.

Objective

The main objective of this study is to make the most accurate long-term electricity consumption forecast, which is the basis for optimal future planning in the energy sector. Electric consumption forecasting is performed regionally since planning at the regional level is essential for more precise planning.

Methods

There may be different variables that affect electricity consumption. This study extends the multivariate grey model for electricity consumption prediction to intuitionistic triangular fuzzy numbers for nine regions. In the grey model, population, export, and gross domestic product variables were used as independent variables, and future predictions for these variables were obtained through the univariate intuitionistic triangular fuzzy grey model.

Results

The results of the proposed method are compared with those of the classical univariate grey model, univariate intuitionistic triangular fuzzy grey model, and classical multivariate grey model. The results show that the error values of the proposed method are lower.

Conclusion

The study contributes to the development of the grey model. More accurate prediction results are obtained with the proposed method compared to similar methods

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2024-12-23
2025-01-19
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References

  1. Li J. Luo Y. Wei S. Long-term electricity consumption forecasting method based on system dynamics under the carbon-neutral target. Energy 2022 244 122572 122572 10.1016/j.energy.2021.122572
    [Google Scholar]
  2. Kaytez F. Taplamacioglu M.C. Cam E. Hardalac F. Forecasting electricity consumption: A comparison of regression analysis, neural networks and least squares support vector machines. Int. J. Electr. Power Energy Syst. 2015 67 431 438 10.1016/j.ijepes.2014.12.036
    [Google Scholar]
  3. Kialashaki A. Reisel J. Transport energy demand modeling of the United States using artificial neural networks and multiple linear regressions 8th International Conference on Energy Sustainability Boston, Massachusetts, USA, 24 Oct, 2014, pp. ES2014-6447. 10.1115/ES2014‑6447
    [Google Scholar]
  4. Sarkodie S.A. Estimating Ghana’s electricity consumption by 2030: An ARIMA forecast. Energy Sources B Econ. Plan. Policy 2017 12 10 936 944 10.1080/15567249.2017.1327993
    [Google Scholar]
  5. Khan A. Chiroma H. Imran M. khan A. Bangash J.I. Asim M. Hamza M.F. Aljuaid H. Forecasting electricity consumption based on machine learning to improve performance: A case study for the organization of petroleum exporting countries (OPEC). Comput. Electr. Eng. 2020 86 106737 106737 10.1016/j.compeleceng.2020.106737
    [Google Scholar]
  6. Li X. Wang Z. Yang C. Bozkurt A. An advanced framework for net electricity consumption prediction: Incorporating novel machine learning models and optimization algorithms. Energy 2024 296 131259 131259 10.1016/j.energy.2024.131259
    [Google Scholar]
  7. Hamzaçebi C. Forecasting of Turkey’s net electricity energy consumption on sectoral bases. Energy Policy 2007 35 3 2009 2016 10.1016/j.enpol.2006.03.014
    [Google Scholar]
  8. Kaytez F. A hybrid approach based on autoregressive integrated moving average and least-square support vector machine for long-term forecasting of net electricity consumption. Energy 2020 197 117200 117200 10.1016/j.energy.2020.117200
    [Google Scholar]
  9. Tang L. Wang X. Wang X. Shao C. Liu S. Tian S. Long-term electricity consumption forecasting based on expert prediction and fuzzy Bayesian theory. Energy 2019 167 1144 1154 10.1016/j.energy.2018.10.073
    [Google Scholar]
  10. Cayir Ervural B. Ervural B. Improvement of grey prediction models and their usage for energy demand forecasting. J. Intell. Fuzzy Syst. 2018 34 4 2679 2688 10.3233/JIFS‑17794
    [Google Scholar]
  11. Wang M. Wang W. Wu L. Application of a new grey multivariate forecasting model in the forecasting of energy consumption in 7 regions of China. Energy 2022 243 123024 123024 10.1016/j.energy.2021.123024
    [Google Scholar]
  12. Deng J. Introduction to grey system theory. J. Grey Syst. 1989 1 1 24
    [Google Scholar]
  13. Yuan C. Liu S. Fang Z. Comparison of China’s primary energy consumption forecasting by using ARIMA (the autoregressive integrated moving average) model and GM(1,1) model. Energy 2016 100 384 390 10.1016/j.energy.2016.02.001
    [Google Scholar]
  14. Wang Z.X. Li Q. Pei L.L. A seasonal GM(1,1) model for forecasting the electricity consumption of the primary economic sectors. Energy 2018 154 522 534 10.1016/j.energy.2018.04.155
    [Google Scholar]
  15. Pu B. Nan F. Zhu N. Yuan Y. Xie W. UFNGBM (1,1): A novel unbiased fractional grey Bernoulli model with Whale Optimization Algorithm and its application to electricity consumption forecasting in China. Energy Rep. 2021 7 7405 7423 10.1016/j.egyr.2021.09.105
    [Google Scholar]
  16. Yang Z. Wang Y. Zhou Y. Wang L. Ye L. Luo Y. Forecasting China’s electricity generation using a novel structural adaptive discrete grey Bernoulli model. Energy 2023 278 127824 127824 10.1016/j.energy.2023.127824
    [Google Scholar]
  17. Zhao H. Zhao H. Guo S. Using GM(1,1) optimized by MFO with rolling mechanism to forecast the electricity consumption of Inner Mongolia. Appl. Sci. (Basel) 2016 6 1 20 10.3390/app6010020
    [Google Scholar]
  18. Zhou W. Li H. Li H. Zhang L. Kybernetes Application of grey system model with intelligent parameters in predicting regional electricity consumption. 2024 10.1108/K‑10‑2023‑2189
    [Google Scholar]
  19. Guo J. Li X. Mu Y. Zhao F. Wu L. Yang H. A compound accumulation grey model and its prediction of new energy generation in BRICS countries. Energy Strat. Rev. 2023 50 101221 10.1016/j.esr.2023.101221
    [Google Scholar]
  20. Xu N. Dang Y. Gong Y. Novel grey prediction model with nonlinear optimized time response method for forecasting of electricity consumption in China. Energy 2017 118 473 480 10.1016/j.energy.2016.10.003
    [Google Scholar]
  21. Zhao H. Guo S. An optimized grey model for annual power load forecasting. Energy 2016 107 272 286 10.1016/j.energy.2016.04.009
    [Google Scholar]
  22. Guefano S. Tamba J.G. Azong T.E.W. Monkam L. Forecast of electricity consumption in the Cameroonian residential sector by grey and vector autoregressive models. Energy 2021 214 118791 118791 10.1016/j.energy.2020.118791
    [Google Scholar]
  23. Hu Y.C. Chiu Y.J. Yu C.Y. Tsai J.F. Integrating nonlinear interval regression analysis with a remnant grey prediction model for energy demand forecasting. Appl. Artif. Intell. 2021 35 15 1490 1507 10.1080/08839514.2021.1983120
    [Google Scholar]
  24. Akay D. Atak M. Grey prediction with rolling mechanism for electricity demand forecasting of Turkey. Energy 2007 32 9 1670 1675 10.1016/j.energy.2006.11.014
    [Google Scholar]
  25. Hamzaçebi C. Es H.A. Forecasting the annual electricity consumption of Turkey using an optimized grey model. Energy 2014 70 165 171 10.1016/j.energy.2014.03.105
    [Google Scholar]
  26. Hamzaçebi C. Primary energy sources planning based on demand forecasting: The case of Turkey. J. Energy South. Afr. 2016 27 1 2 10 10.17159/2413‑3051/2016/v27i1a1560
    [Google Scholar]
  27. Ayvaz B. Kusakci A.O. Electricity consumption forecasting for Turkey with nonhomogeneous discrete grey model. Energy Sources B Econ. Plan. Policy 2017 12 3 260 267 10.1080/15567249.2015.1089337
    [Google Scholar]
  28. Hu Y.C. Electricity consumption prediction using a neural-network-based grey forecasting approach. J. Oper. Res. Soc. 2017 68 10 1259 1264 10.1057/s41274‑016‑0150‑y
    [Google Scholar]
  29. Wu L. Gao X. Xiao Y. Yang Y. Chen X. Using a novel multi-variable grey model to forecast the electricity consumption of Shandong Province in China. Energy 2018 157 327 335 10.1016/j.energy.2018.05.147
    [Google Scholar]
  30. Zeng X. Yan S. He F. Shi Y. Multi-variable grey model based on dynamic background algorithm for forecasting the interval sequence. Appl. Math. Model. 2020 80 99 114 10.1016/j.apm.2019.11.032
    [Google Scholar]
  31. Wu G. Hu Y.C. Chiu Y.J. Tsao S.J. A new multivariate grey prediction model for forecasting China’s regional energy consumption. Environ. Dev. Sustain. 2023 25 5 4173 4193 10.1007/s10668‑022‑02238‑1 35401034
    [Google Scholar]
  32. Dang Y. Zhang Y. Wang J. A novel multivariate grey model for forecasting periodic oscillation time series. Expert Syst. Appl. 2023 211 118556 118556 10.1016/j.eswa.2022.118556
    [Google Scholar]
  33. Du X. Wu D. Yan Y. Prediction of electricity consumption based on GM(1,Nr) model in Jiangsu province, China. Energy 2023 262 125439 125439 10.1016/j.energy.2022.125439
    [Google Scholar]
  34. Tsaur R.C. Fuzzy grey GM(1, 1) model under fuzzy system. Int. J. Comput. Math. 2005 82 2 141 149 10.1080/0020716042000301770
    [Google Scholar]
  35. Lin Y.H. Chiu C.C. Lee P.C. Lin Y.J. Applying fuzzy grey modification model on inflow forecasting. Eng. Appl. Artif. Intell. 2012 25 4 734 743 10.1016/j.engappai.2012.01.001
    [Google Scholar]
  36. Zeng X. Shu L. Yan S. Shi Y. He F. A novel multivariate grey model for forecasting the sequence of ternary interval numbers. Appl. Math. Model. 2019 69 273 286 10.1016/j.apm.2018.12.020
    [Google Scholar]
  37. Dong C.X. Grey interval model of the temperature rise prediction of massive concrete in construction process. Appl. Mech. Mater. 2013 357-360 631 634 10.4028/www.scientific.net/AMM.357‑360.631
    [Google Scholar]
  38. Zeng X. Shu L. Jiang J. Fuzzy time series forecasting based on grey model and Markov chain. Int. J. Appl. Math. (Sofia) 2016 46 4 464 472
    [Google Scholar]
  39. Zeng X. Shu L. Huang G. Jiang J. Triangular fuzzy series forecasting based on grey model and neural network. Appl. Math. Model. 2016 40 3 1717 1727 10.1016/j.apm.2015.08.009
    [Google Scholar]
  40. Zor C. Çebi F. Demand prediction in health sector using fuzzy grey forecasting. J. Enterp. Inf. Manag. 2018 31 6 937 949 10.1108/JEIM‑05‑2017‑0067
    [Google Scholar]
  41. Bilgiç C.T. Bilgiç B. Çebi F. Fuzzy grey forecasting model optimized by moth-flame optimization algorithm for short time electricity consumption. J. Intell. Fuzzy Syst. 2021 42 1 129 138 10.3233/JIFS‑219181
    [Google Scholar]
  42. Atanassov K.T. Intuitionistic fuzzy sets. Fuzzy Sets Syst. 1986 20 1 87 96 10.1016/S0165‑0114(86)80034‑3
    [Google Scholar]
  43. Yörür B. Erginel N. Şentürk S. A novel intuitionistic fuzzy grey model for forecasting electricity consumption International Conference on Intelligent and Fuzzy Systems Cham, 17 August 2023, pp 234–242. 10.1007/978‑3‑031‑39774‑5_29
    [Google Scholar]
  44. Zeng B. Forecasting the relation of supply and demand of natural gas in China during 2015-2020 using a novel grey model. J. Intell. Fuzzy Syst. 2017 32 1 141 155 10.3233/JIFS‑151249
    [Google Scholar]
  45. Wang Z. Jia H. An intuitionistic fuzzy grey-Markov method with application to demand forecasting for emergency supplies during major epidemics. Grey Syst. Theory Appl. 2024 14 1 185 208
    [Google Scholar]
  46. Du P. Guo J. Sun S. Wang S. Wu J. A novel two-stage seasonal grey model for residential electricity consumption forecasting. Energy 2022 258 124664 124664 10.1016/j.energy.2022.124664
    [Google Scholar]
  47. Wang J. Du P. Lu H. Yang W. Niu T. An improved grey model optimized by multi-objective ant lion optimization algorithm for annual electricity consumption forecasting. Appl. Soft Comput. 2018 72 321 337 10.1016/j.asoc.2018.07.022
    [Google Scholar]
  48. Huang L. Liao Q. Qiu R. Liang Y. Long Y. Prediction-based analysis on power consumption gap under long-term emergency: A case in China under COVID-19. Appl. Energy 2021 283 116339 116339 10.1016/j.apenergy.2020.116339 33753961
    [Google Scholar]
  49. de Oliveira E.M. Cyrino Oliveira F.L. Forecasting mid-long term electric energy consumption through bagging ARIMA and exponential smoothing methods. Energy 2018 144 776 788 10.1016/j.energy.2017.12.049
    [Google Scholar]
  50. Bouktif S. Fiaz A. Ouni A. Serhani M. Optimal deep learning LSTM model for electric load forecasting using feature selection and genetic algorithm: Comparison with machine learning approaches. Energies 2018 11 7 1636 10.3390/en11071636
    [Google Scholar]
  51. Jin H. Guo J. Tang L. Du P. Long-term electricity demand forecasting under low-carbon energy transition: Based on the bidirectional feedback between power demand and generation mix. Energy 2024 286 129435 129435 10.1016/j.energy.2023.129435
    [Google Scholar]
  52. Liu X. Li S. Gao M. A discrete time-varying grey Fourier model with fractional order terms for electricity consumption forecast. Energy 2024 296 131065 131065 10.1016/j.energy.2024.131065
    [Google Scholar]
  53. Wang H. Li Y. A novel seasonal grey prediction model with fractional order accumulation for energy forecasting. Heliyon 2024 10 9 e29960 10.1016/j.heliyon.2024.e29960 38694107
    [Google Scholar]
  54. Zeng L. Liu C. Wu W.Z. A novel discrete GM(2,1) model with a polynomial term for forecasting electricity consumption. Electr. Power Syst. Res. 2023 214 108926 108926 10.1016/j.epsr.2022.108926
    [Google Scholar]
  55. Mohan S. Kannusamy A.P. Samiappan V. A new approach for ranking of intuitionistic fuzzy numbers. J. Fuzzy Ext. Appl. 2020 1 1 15 26
    [Google Scholar]
  56. Ren J. GM(1,N) method for the prediction of anaerobic digestion system and sensitivity analysis of influential factors. Bioresour. Technol. 2018 247 1258 1261 10.1016/j.biortech.2017.10.029 29050652
    [Google Scholar]
  57. Hepzibah R.I. Vidhya R. Modified new operations for triangular intuitionistic fuzzy numbers (TIFNS). Malaya J. Matematik 2014 2 3 301 307 10.26637/mjm203/017
    [Google Scholar]
  58. Chi D. Research on electricity consumption forecasting model based on wavelet transform and multi-layer LSTM model. Energy Rep. 2022 8 220 228 10.1016/j.egyr.2022.01.169
    [Google Scholar]
  59. Otay İ. Oztaysi B. Cevik Onar S. Kahraman C. Multi-expert performance evaluation of healthcare institutions using an integrated intuitionistic fuzzy AHP&DEA methodology. Knowl. Base. Syst. 2017 133 90 106 10.1016/j.knosys.2017.06.028
    [Google Scholar]
  60. Erten M.Y. İnanç N. Forecasting electricity consumption for accurate energy management in commercial buildings with deep learning models to facilitate demand response programs. Electr. Power Compon. Syst. 2024 52 9 1636 1651 10.1080/15325008.2024.2317353
    [Google Scholar]
  61. Oğcu G. Demirel O.F. Zaim S. Forecating electricity consumption with neural networks and support vector regression. Procedia Soc. Behav. Sci. 2012 58 1576 1585 10.1016/j.sbspro.2012.09.1144
    [Google Scholar]
  62. Gazi K.H. Mondal S.P. Chatterjee B. Ghorui N. Ghosh A. De D. A new synergistic strategy for ranking restaurant locations: A decision-making approach based on the hexagonal fuzzy numbers. Oper. Res. 2023 57 2 571 608 10.1051/ro/2023025
    [Google Scholar]
  63. Momena A.F. Mandal S. Gazi K.H. Giri B.C. Mondal S.P. Prediagnosis of disease based on symptoms by generalized dual hesitant hexagonal fuzzy multi-criteria decision-making techniques. Systems (Basel) 2023 11 5 231 10.3390/systems11050231
    [Google Scholar]
  64. Chakraborty A. Mondal S.P. Alam S. Pamucar D. Marinkovic D. A new idea to evaluate networking problem and MCGDM problem in parametric interval valued pythagorean area. Discrete Dyn. Nat. Soc. 2022 2022 1 7369045 10.1155/2022/7369045
    [Google Scholar]
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