Using Artificial Neural Networks in Fuzzy Time Series Analysis
Abstract
In recent years, fuzzy time series have been drawn great attention due to their potential for use in time series forecasting. In many studies available in the literature, fuzzy time series have been successfully used to forecast time series contain some uncertainty. Studies on this method still continue to reach better forecasting results. Determination of fuzzy relations between observations is an important phase of fuzzy time series approaches which directly affect the forecasting performance. In order to establish fuzzy relations, different techniques have been utilized in the literature. One of these techniques is artificial neural networks method. In this study, it is shown that how different artificial neural networks models can be used to determine fuzzy relations with real time series applications.
References
- 1.Aladag, C.H.: Using artificial neural networks in fuzzy time series forecasting. In: Applied Statistics 2010 International Conference (AS 2010). Ribno, Bled, Slovenia (2010)Google Scholar
- 2.Egrioglu, E., Aladag, C.H., Basaran, M.A., Yolcu, U., Uslu, V.R.: A new approach based on the optimization of the length of intervals in fuzzy time series. J. Intell. Fuzzy Syst. 22, 15–19 (2011)MATHGoogle Scholar
- 3.Aladag, S., Aladag, C.H., Egrioglu, E.: Analyzing Ankara air quality data with fuzzy time series. In: International 7th Statistics Congress Proceedings, pp. 218–219. Ankara, Turkey, May 2011Google Scholar
- 4.Aladag, C.H., Yolcu, U., Egrioglu, E.: A high order fuzzy time series forecasting model based on adaptive expectation and artificial neural networks. Math. Comput. Simul. 81, 875–882 (2010)CrossRefMATHMathSciNetGoogle Scholar
- 5.Aladag, C.H., Egrioglu, E., Yolcu, U., Dalar, A.Z.: A new time invariant fuzzy time series forecasting method based on particle swarm optimization. Appl. Soft Comput. 12(10), 3291–3299 (2012)CrossRefGoogle Scholar
- 6.Song, Q., Chissom, B.S.: Fuzzy time series and its models. Fuzzy Sets Syst. 54, 269–277 (1993)CrossRefMATHMathSciNetGoogle Scholar
- 7.Song, Q., Chissom, B.S.: Forecasting enrollments with fuzzy time series—Part I. Fuzzy Sets Syst. 54, 1–10 (1993)CrossRefMathSciNetGoogle Scholar
- 8.Song, Q., Chissom, B.S.: “Forecasting enrollments with fuzzy time series—Part II. Fuzzy Sets Syst. 62(l):1–8 (1994)Google Scholar
- 9.Zadeh, L.A.: Fuzzy sets. Inf. Control 8:338–353 (1965)Google Scholar
- 10.Egrioglu, E., Aladag, C.H., Yolcu, U., Uslu, V.R., Erilli, A.: Fuzzy time series forecasting method based on Gustafson-Kessel fuzzy clustering. Expert Syst. Appl. 38, 10355–10357 (2011)CrossRefGoogle Scholar
- 11.Chen, S.M.: Forecasting enrollments based on fuzzy time-series. Fuzzy Sets Syst. 81, 311–319 (1996)CrossRefGoogle Scholar
- 12.Chen, S.M.: Forecasting enrollments based on high order fuzzy time series. Cybern. Syst. 33, 1–16 (2002)CrossRefGoogle Scholar
- 13.Singh, S.R.: A simple method of forecasting based on fuzzy time series. Appl. Math. Comput. 186, 330–339 (2007)CrossRefMATHMathSciNetGoogle Scholar
- 14.Egrioglu, E., Aladag, C.H., Yolcu, U., Uslu, V.R., Basaran, M.A.: Finding an optimal interval length in high order fuzzy time series. Expert Syst. Appl. 37, 5052–5055 (2010)CrossRefGoogle Scholar
- 15.Huarng, K.: Effective length of intervals to improve forecasting in fuzzy time series. Fuzzy Sets Syst. 123, 387–394 (2001)CrossRefMATHMathSciNetGoogle Scholar
- 16.Huarng, K., Yu, T.H.K.: “Ratio-based lengths of intervals to improve fuzyy time series forecasting, IEEE Trans. Syst. Man Cybern. Part B Cybern. 36, 328–340 (2006)CrossRefGoogle Scholar
- 17.Yolcu, U., Aladag, C.H., Egrioglu, E., Uslu, V.R.: Time series forecasting with a novel fuzzy time series approach: an example for Istanbul stock market. J. Stat. Comput. Simul. 83(4), 597−610 (2013)Google Scholar
- 18.Davari, S., Zarandi, M.H.F., Turksen, I.B.: An improved fuzzy time series forecasting model based on particle swarm intervalization. In: The 28th North American Fuzzy Information Processing Society Annual Conferences (NAFIPS 2009), Cincinnati, June 2009Google Scholar
- 19.Kuo, I.H., Horng, S.J., Chen, Y.H., Run, R.S., Kao, T.W., Chen, R.J., Lai, J.L., Lin, T.L.: Forecasting TAIFEX based on fuzzy time series and particle swarm optimization. Expert Syst. Appl. 37, 1494–1502 (2010)CrossRefGoogle Scholar
- 20.Hsu, L.Y., Horng, S.J., Kao, T.W., Chen, Y.H., Run, R.S., Chen, R.J., Lai, J.L., Kuo, I.H.: Temperature prediction and TAIFEX forecasting based on fuzzy relationships and MTPSO techniques. Expert Syst. Appl. 37, 2756–2770 (2010)CrossRefGoogle Scholar
- 21.Huang, Y.L., Horng, S.J., Kao, T.W., Run, R.S., Lai, J.L., Chen, R.J., Kuo, I.H., Khan, M.K.: An improved forecasting model based on the weighted fuzzy relationship matrix combined with a PSO adaptation for enrollments. Int. J. Innovative Comput. Inf. Control 7(7), 4027–4046 (2011)Google Scholar
- 22.Lee, L.W., Wang, L.H., Chen, S.M.: Temperature prediction and TAIFEX forecasting based on high-order fuzzy logical relationships and genetic simulated annealing techniques. Expert Syst. Appl. 34, 328–336 (2008)CrossRefMathSciNetGoogle Scholar
- 23.Lee, L.W., Wang, L.H., Chen, S.M.: Temperature prediction and TAIFEX forecasting based on fuzzy logical relationships and genetic algorithms. Expert Syst. Appl. 33, 539–550 (2007)CrossRefGoogle Scholar
- 24.Cheng, H.C., Chen, T.L., Teoh, H.J., Chiang, C.H.: Fuzzy time-series based on adaptive expectation model for TAIEX forecasting. Expert Syst. Appl. 34, 1126–1132 (2008)CrossRefGoogle Scholar
- 25.Jilani, T.A., Burney, S.M.A.: A refined fuzzy time series model for stock market forecasting. Phys. A 387, 2857–2862 (2008)CrossRefGoogle Scholar
- 26.Yu, T.H.-K.: Weighted fuzzy time series models for TAIEX forecasting. Phys. A 349, 609–624 (2005)CrossRefGoogle Scholar
- 27.Liu, J.W., Chen, T.L., Cheng, C.H., Chen, Y.H.: Adaptive-expectation based multi attribute FTS model for forecasting TAIEX. Comput. Math. Appl. 59(2), 795–802 (2010) Google Scholar
- 28.Sullivan, J., Woodall, W.H.: A comparison of fuzzy forecasting and Markov modeling. Fuzzy Sets Syst. 64(3), 279–293 (1994)CrossRefGoogle Scholar
- 29.Cheng, C.H., Cheng, G.W., Wang, J.W.: Multi-attribute fuzzy time series method based on fuzzy clustering. Expert Syst. Appl. 34, 1235–1242 (2008)CrossRefGoogle Scholar
- 30.Huarng, K., Yu, T.H.K.: The application of neural networks to forecast fuzzy time series. Phys. A 363, 481–491 (2006)CrossRefGoogle Scholar
- 31.Aladag, C.H., Basaran, M.A., Egrioglu, E., Yolcu, U., Uslu, V.R.: Forecasting in high order fuzzy time series by using neural networks to define fuzzy relations. Expert Syst. Appl. 36, 4228–4231 (2009)CrossRefGoogle Scholar
- 32.Aladag, C.H., Egrioglu, E., Gunay, S., Yolcu, U.: High order fuzzy time series forecasting model and its application to IMKB. Anadolu Univ. J. Sci. Technol. 11(2), 95–101 (2010)Google Scholar
- 33.Yu, T.H.K., Huarng, K.H.: A neural network- based fuzzy time series model to improve forecasting. Expert Syst. Appl. 37, 3366–3372 (2010)CrossRefGoogle Scholar
- 34.Aladag, C.H.: Using multiplicative neuron model to establish fuzzy logic relationships. Expert Syst. Appl. 40(3), 850−853 (2013)Google Scholar
- 35.Cheng, S.M., Wei, L.Y., Chen, Y.S.: Fusion ANFIS models based on multi-stock volatility causality for TAIEX forecasting. Neurocomputing 72, 3462–3468 (2009)CrossRefGoogle Scholar