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Neural intuitionistic fuzzy system with justified granularity

  • S.I : Deep learning modelling in real life: (Anomaly Detection, Biomedical, Concept Analysis, Finance, Image analysis, Recommendation)
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Abstract

Fuzzy systems are intensively investigated and extended to construct forecasting models. In particular, intuitionistic fuzzy sets are used to capture higher levels of uncertainty occurring in the modeled data. Neural networks are also used to reflect nonlinearity relationships frequently observed in time series. This paper proposes a new hybrid system merging fuzzy system with neural networks and an advanced optimization technique, the principle of justified granularity. Using this technique, we construct an innovative time-series forecasting model. In the experimental part of the paper, we demonstrate the advantages arising from applying the proposed approach to metal price forecasting. Finally, we provide evidence that the proposed model is competitive with the current state-of-the-art models for the forecasting horizons of one and five days.

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References

  1. Alameer Z, Abd Elaziz M, Ewees AA et al (2019) Forecasting copper prices using hybrid adaptive neuro-fuzzy inference system and genetic algorithms. Nat Resour Res 28(4):1385–1401

    Article  Google Scholar 

  2. Angelov P (1995) Crispification: defuzzification of intuitionistic fuzzy sets. BUSEFAL 64:51–55

    Google Scholar 

  3. Atanassov KT (1999) Intuitionistic Fuzzy Sets. Physica-Verlag HD, Heidelberg, pp 1–137

    MATH  Google Scholar 

  4. Bas E, Grosan C, Egrioglu E et al (2018) High order fuzzy time series method based on pi-sigma neural network. Eng Appl Artif Intell 72:350–356

    Article  Google Scholar 

  5. Bisht K, Kumar S (2016) Fuzzy time series forecasting method based on hesitant fuzzy sets. Expert Syst Appl 64:557–568

    Article  Google Scholar 

  6. Bisht K, Kumar S (2019) Hesitant fuzzy set based computational method for financial time series forecasting. Granul Comput 4(4):655–669

    Article  Google Scholar 

  7. Bose M, Mali K (2018) A novel data partitioning and rule selection technique for modeling high-order fuzzy time series. Appl Soft Comput 63:87–96

    Article  Google Scholar 

  8. Bose M, Mali K (2019) Designing fuzzy time series forecasting models: A survey. Int J Approx Reason 111:78–99

    Article  MathSciNet  MATH  Google Scholar 

  9. Bougoudis I, Demertzis K, Iliadis L et al (2018) Fussffra, a fuzzy semi-supervised forecasting framework: the case of the air pollution in athens. Neural Comput Appl 29(7):375–388

    Article  Google Scholar 

  10. Chen G, Wei Q (2002) Fuzzy association rules and the extended mining algorithms. Inf Sci 147(1–4):201–228

    Article  MathSciNet  MATH  Google Scholar 

  11. Chen MY (2014) A high-order fuzzy time series forecasting model for internet stock trading. Future Gener Comput Syst 37:461–467

    Article  Google Scholar 

  12. Deng W, Wang G, Zhang X et al (2016) A multi-granularity combined prediction model based on fuzzy trend forecasting and particle swarm techniques. Neurocomputing 173:1671–1682

    Article  Google Scholar 

  13. Ding H, Li W, Qiao J (2021) A self-organizing recurrent fuzzy neural network based on multivariate time series analysis. Neural Comput Appl 33(10):5089–5109

    Article  Google Scholar 

  14. Du P, Wang J, Yang W et al (2020) Point and interval forecasting for metal prices based on variational mode decomposition and an optimized outlier-robust extreme learning machine. Resour Policy 69(101):881

    Google Scholar 

  15. Egrioglu E, Aladag CH, Yolcu U et al (2009) A new approach based on artificial neural networks for high order multivariate fuzzy time series. Expert Syst Appl 36(7):10,589-10,594

    Article  Google Scholar 

  16. Eyoh I, John R, De Maere G et al (2018) Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems.IEEE Trans Fuzzy Syst 26(5):2672–2685

    Article  Google Scholar 

  17. Gaxiola F, Melin P, Valdez F et al (2014) Interval type-2 fuzzy weight adjustment for backpropagation neural networks with application in time series prediction. Inf Sci 260:1–14

    Article  MathSciNet  MATH  Google Scholar 

  18. Gupta KK, Kumar S (2019) A novel high-order fuzzy time series forecasting method based on probabilistic fuzzy sets. Granul Comput 4(4):699–713

    Article  Google Scholar 

  19. Hajek P, Novotny J (2022) Fuzzy rule-based prediction of gold prices using news affect. Expert Syst Appl 193:116487

    Article  Google Scholar 

  20. Hajek P, Olej V (2017) Intuitionistic neuro-fuzzy network with evolutionary adaptation. Evol Syst 8(1):35–47

    Article  MATH  Google Scholar 

  21. Hajek P, Froelich W, Prochazka O (2020) Intuitionistic fuzzy grey cognitive maps for forecasting interval-valued time series. Neurocomputing 400:173–185

    Article  Google Scholar 

  22. Hajek P, Olej V, Froelich W, et al (2021) Intuitionistic fuzzy neural network for time series forecasting - the case of metal prices. In: IFIP International Conference on Artificial Intelligence Applications and Innovations, Springer, pp 411–422

  23. Hassani H, Silva ES, Gupta R et al (2015) Forecasting the price of gold. Appl Econ 47(39):4141–4152

    Article  Google Scholar 

  24. Hyndman R, Athanasopoulos G (2018) Forecasting: Principles and Practice. OTexts

    Google Scholar 

  25. Jabeur SB, Mefteh-Wali S, Viviani JL (2021) Forecasting gold price with the XGBoost algorithm and SHAP interaction values. Ann Oper Res. https://doi.org/10.1007/s10479-021-04187-w

    Article  Google Scholar 

  26. Kristjanpoller W, Hernández E (2017) Volatility of main metals forecasted by a hybrid ANN-GARCH model with regressors. Expert Syst Appl 84:290–300

    Article  Google Scholar 

  27. Kumar S et al (2019) A modified weighted fuzzy time series model for forecasting based on two-factors logical relationship. Int J Fuzzy Syst 21(5):1403–1417

    Article  Google Scholar 

  28. Lasheras FS, de Cos Juez FJ, Sánchez AS et al (2015) Forecasting the COMEX copper spot price by means of neural networks and ARIMA models. Resour Policy 45:37–43

    Article  Google Scholar 

  29. Li F, Yu F (2020) Multi-factor one-order cross-association fuzzy logical relationships based forecasting models of time series. Inform Sci 508:309–328

    Article  Google Scholar 

  30. de Lima Silva PC, Sadaei HJ, Ballini R et al (2019) Probabilistic forecasting with fuzzy time series. IEEE Trans Fuzzy Syst 28(8):1771–1784

    Article  Google Scholar 

  31. Liu D, Li Z (2017) Gold price forecasting and related influence factors analysis based on random forest. In: Proceedings of the tenth international conference on management science and engineering management, Springer, pp 711–723

  32. Liu Y, Yang C, Huang K et al (2020) Non-ferrous metals price forecasting based on variational mode decomposition and LSTM network. Knowl-Based Syst 188:105006

    Article  Google Scholar 

  33. Livieris IE, Pintelas E, Pintelas P (2020) A CNN-LSTM model for gold price time-series forecasting. Neural Comput Appl 32(23):17351–17360

    Article  Google Scholar 

  34. Lu W, Pedrycz W, Liu X et al (2014) The modeling of time series based on fuzzy information granules. Expert Syst Appl 41(8):3799–3808

    Article  Google Scholar 

  35. Luo C, Tan C, Wang X et al (2019) An evolving recurrent interval type-2 intuitionistic fuzzy neural network for online learning and time series prediction. Appl Soft Comput 78:150–163

    Article  Google Scholar 

  36. Maciel L, Ballini R, Gomide F (2021) Adaptive fuzzy modeling of interval-valued stream data and application in cryptocurrencies prediction. Neural Comput Appl. https://doi.org/10.1007/s00521-021-06263-5

    Article  Google Scholar 

  37. Narayan PK, Ahmed HA, Narayan S (2015) Do momentum-based trading strategies work in the commodity futures markets? J Futures Mark 35(9):868–891

    Article  Google Scholar 

  38. Pedrycz W, Homenda W (2013) Building the fundamentals of granular computing: a principle of justifiable granularity. Appl Soft Comput 13(10):4209–4218

    Article  Google Scholar 

  39. Pedrycz W, Vukovich G (2001) Abstraction and specialization of information granules. IEEE Trans Syst Man Cybern Part B Cybern Publ IEEE Syst Man Cybern Soc 31:106–11

    Article  Google Scholar 

  40. Pedrycz W, Lu W, Liu X et al (2014) Human-centric analysis and interpretation of time series: a perspective of granular computing. Soft Comput 18(12):2397–2411

    Article  Google Scholar 

  41. Peng HW, Wu SF, Wei CC et al (2015) Time series forecasting with a neuro-fuzzy modeling scheme. Appl Soft Comput 32:481–493

    Article  Google Scholar 

  42. Roy A (2016) A novel multivariate fuzzy time series based forecasting algorithm incorporating the effect of clustering on prediction. Soft Comput 20(5):1991–2019

    Article  Google Scholar 

  43. Salisu AA, Ogbonna AE, Adewuyi A (2020) Google trends and the predictability of precious metals. Resour Policy 65:101542

    Article  Google Scholar 

  44. Shmueli G (2011) Practical time series forecasting, 2nd edn. Statistics.com LLC, Arlington

    Google Scholar 

  45. Singh P (2017) High-order fuzzy-neuro-entropy integration-based expert system for time series forecasting. Neural Comput Appl 28(12):3851–3868

    Article  Google Scholar 

  46. Singh P, Borah B (2013) High-order fuzzy-neuro expert system for time series forecasting. Knowl-Based Syst 46:12–21

    Article  Google Scholar 

  47. Singh P, Dhiman G (2018) A hybrid fuzzy time series forecasting model based on granular computing and bio-inspired optimization approaches. J Comput Sci 27:370–385

    Article  Google Scholar 

  48. Song Q, Chissom BS (1993) Fuzzy time series and its models. Fuzzy Sets Syst 54(3):269–277

    Article  MathSciNet  MATH  Google Scholar 

  49. Soto J, Melin P, Castillo O (2018) A new approach for time series prediction using ensembles of it2fnn models with optimization of fuzzy integrators. Int J Fuzzy Syst 20(3):701–728

    Article  MathSciNet  Google Scholar 

  50. Su CH, Cheng CH (2016) A hybrid fuzzy time series model based on ANFIS and integrated nonlinear feature selection method for forecasting stock. Neurocomputing 205:264–273

    Article  Google Scholar 

  51. Talarposhti FM, Sadaei HJ, Enayatifar R et al (2016) Stock market forecasting by using a hybrid model of exponential fuzzy time series. Int J Approx Reason 70:79–98

    Article  MathSciNet  MATH  Google Scholar 

  52. Tang Y, Yu F, Pedrycz W et al (2021) Building trend fuzzy granulation based LSTM recurrent neural network for long-term time series forecasting. IEEE Trans Fuzzy Syst. https://doi.org/10.1109/TFUZZ.2021.3062723

    Article  Google Scholar 

  53. Wang C, Zhang X, Wang M et al (2019) Predictive analytics of the copper spot price by utilizing complex network and artificial neural network techniques. Resour Policy 63(101):414

    Google Scholar 

  54. Wang L, Liu X, Pedrycz W et al (2014) Determination of temporal information granules to improve forecasting in fuzzy time series. Expert Syst Appl 41(6):3134–3142

    Article  Google Scholar 

  55. Wu D, Mendel JM (2009) Enhanced Karnik–Mendel algorithms. IEEE Trans Fuzzy Syst 17(4):923–934

    Article  Google Scholar 

  56. Wu H, Long H, Wang Y et al (2021) Stock index forecasting: a new fuzzy time series forecasting method. J Forecast 40(4):653–666

    Article  MathSciNet  Google Scholar 

  57. Yager RR (1998) Measures of specificity. In: Kaynak O, Zadeh LA, Turksen B, Rudas IM (eds) Computational intelligence: soft computing and fuzzy-neuro integration with applications. Springer, Berlin, pp 94–113

    Google Scholar 

  58. Yang X, Yu F, Pedrycz W (2017) Long-term forecasting of time series based on linear fuzzy information granules and fuzzy inference system. Int J Approx Reason 81:1–27

    Article  MathSciNet  MATH  Google Scholar 

  59. Yolcu OC, Yolcu U, Egrioglu E et al (2016) High order fuzzy time series forecasting method based on an intersection operation. Appl Math Model 40(19–20):8750–8765

    Article  MathSciNet  MATH  Google Scholar 

  60. Yu THK, Huarng KH (2010) A neural network-based fuzzy time series model to improve forecasting. Expert Syst Appl 37(4):3366–3372

    Article  Google Scholar 

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Funding

Funding was provided by Grantová Agentura České Republiky (Grant No. 19-15498S).

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Correspondence to Petr Hajek.

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Hajek, P., Froelich, W., Olej, V. et al. Neural intuitionistic fuzzy system with justified granularity. Neural Comput & Applic 34, 19423–19439 (2022). https://doi.org/10.1007/s00521-022-07504-x

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