Comparison of autoregressive integrated moving average (ARIMA) model and adaptive neuro-fuzzy inference system (ANFIS) model

Document Type : Research Paper

Authors

School of Industrial Engineering, Iran university of science and technology, Tehran, Iran

Abstract

Proper models for prediction of time series data can be an advantage in making important decisions. In this study, we tried with the comparison between one of the most useful classic models of economic evaluation, auto-regressive integrated moving average model and one of the most useful artificial intelligence models, adaptive neuro-fuzzy inference system (ANFIS), investigate modeling procedure of these methods. Furthermore, we analyzed the performance of these methods in prediction the global gold price. For this purpose, 200 gold price data from February 2015 to October 2015 were gathered. We used both methods for determination of model parameters then we predicted the test data. With respect to reliable standards of evaluation prediction as root mean square of errors, it was seen that in time series data, prediction of adaptive neuro-fuzzy inference system model is more accurate than the auto-regressive integrated moving average model. So we can conclude that at least in some cases where time series have a non-linear trend, it is better to use adaptive neuro-fuzzy inference system model for prediction. In this manner, we can reach our goals in future with higher accuracy in our decisions, in future. 

Keywords


ejlal,R: translation of neural networks, number 1.
khazaii, M (1387). introduction to time series analysis by S plus software, Tehran, Iran statistical center, statistical institute   
Zera-nezhad, M.,Hamid,Sh. (1388). Inflation rate Prediction of  iran economy by using artificial time dynamic neural networks (time series point of view), quantitative economic journal ,6:1.
Sarfaraz,L. (1384). investigation of Effective factors on gold price and offering prediction model based on neural networks, economical researches journal,16.
Abbasi-nezhad, H., (1384). advanced econometric. University of Tehran.
Mohammadi, H., Abdi-zadeh, Sh.. (1392). advanced econometric by Eveiws (theory and application), nashre-elm publication, Tehran.
Niroomand, H.,(1376). time series analysis: single and multi-variable method. University of Ferdowsi mashhad publication.
Yaghoubi, M., (1386). Presentation of a novel fuzzy time series for prediction of Fluctuations in the price of the currency. Iran computer community.
Abraham,B;Ledolter,J.Statistical Methods for Forecasting.Wiley,New York(1983)
Abu-Mostafa,Y.S.and Psaltis,D.optical neural computers,Scientific American,(1987),pp.66-73
Akaike,H.Fitting autoregressive models for prediction.Ann.Inst.Statist.Math.(1969).21,407-419.
Box,G.E.P;Jenkins,G.M.Time series analysis:forecasting and control,Holden-Day,San Francisco(1970)
Ching-Hsue Cheng, Tai-Liang Chen, Hia Jong Teoh, Chen-Han Chiang, “Fuzzy time-series based on adaptive expectation model for TAIEX forecasting”, ELSEVIER Journal of Expert Systems with Applications, 2007
Jyh-Shing, Roger Jang, ”ANFIS: Adaptive Network Based Fuzzy Inference Systems” IEEE Trans. On Systems, Man and Cybernetics, Vol. 23, No. 3, pp. 665-685 1993
Kunhuang Huarng, Tiffany Hui-Kuang Yu, “The application of neural networks to forecast fuzzy time series” ELESEVIER Journal of Physica A, 2006
Li_Xin Wang, A Course In Fuzzy Systems and Control, Prentice Hall PTR, pp. 192 205, 1997.
M.Massarrat Ali Khan, .Forecasting of gold prices (Box Jenkins approach),international journal of emerging technology and advanced engineering ,2250-2459:2008
Montgomery,D.C.;Peck,E.A.Introduction to Linear Regression Analysis.2nd ed.Wiley,New York(1992)
Nikola Kasabov, “Evolving Fuzzy Neural Networks for Supervised/Unsupervised On-line, Knowledge-Based Learning”, IEEE Trans. On Systems, Man and Cybernetics, Part B _Cybernetics, vol. 31, No. 6
Nikola K.Kasabov, Qun Song, ” DENFIS: Dynamic Evolving Neural-Fuzzy Inference System and Its Application for Time Series Prediction” IEEE Trans. On Fuzzy Systems, Vol. 10, No. 2, pp. 144-154, 2002, pp.
Oliver Nelles, Nonlinear System Identification From Classical Approaches to Neural Networks and Fuzzy Models, Springer, pp. 142-155, 2000
Shyi-Ming Chen ,”Forecasting enrollments based on fuzzy time series”, ELSEVIER Journal of Fuzzy  sets and  Systems, 1996
S.R. Singh,” A robust method of forecasting based on fuzzy time series” ELESEVIER Journal of Applied mathematics and Computation, 2007
Tai-Liang Chen,Ching-Hsue Cheng, Hia Jong Teoh, “Fuzzy time-series based on Fibonacci sequence for stock price forecasting”, ELESEVIER Journal of Physica A, 2007
U. Reuter & B. M ¨ oller, Artificial Neural Networks for Forecasting of Fuzzy Time Series, Computer-Aided Civil and Infrastructure Engineering 25  (2010) 363-374
www.cbi.ir
www.matlab1.ir
www.kitco.com
www.bargozideha.com