A New Fuzzy Grach Model to forecast Stock Market Technical Analysis

Authors

  • Saima Mustafa Department of Mathematics and Statistics, PMAS Arid Agriculture University, Rawalpindi, Pakistan
  • Arfa Amjad Bajwa Department of Mathematics and Statistics, PMAS Arid Agriculture University, Rawalpindi, Pakistan
  • Shafqat Iqbal School of Economics and Statistics, Guangzhou University, Guangzhou, China

DOI:

https://doi.org/10.31181/oresta040422196m

Keywords:

Fuzzy time series, Membership function, trapezoidal fuzzy approach, GARCH model, Forecasting

Abstract

Decision making process in stock trading is a complex one. Stock market is a key factor of monetary markets and signs of economic growth. In some circumstances, traditional forecasting methods cannot contract with determining and sometimes data consist of uncertain and imprecise properties which are not handled by quantitative models. In order to achieve the main objective, accuracy and efficiency of time series forecasting, we move towards the fuzzy time series modeling. Fuzzy time series is different from other time series as it is represented in linguistics values rather than a numeric value. The Fuzzy set theory includes many types of membership functions. In this study, we will utilize the Fuzzy approach and trapezoidal membership function to develop the fuzzy generalized auto regression conditional heteroscedasticity (FGARCH) model by using the fuzzy least square techniques to forecasting stock exchange market prices. The experimental results show that the proposed forecasting system can accurately forecast stock prices. The accuracy measures RMSE, MAD, MAPE, MSE, and Theil-U-Statistics have values of 18.17, 15.65, 2.339, 301.998, and 0.003212, respectively, which confirmed that the proposed system is considered to be useful for forecasting the stock index prices, which outperforms conventional GARCH models.

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References

Abhishekh, Gautam, S. S., & Singh, S. (2018). A score function-based method of forecasting using intuitionistic fuzzy time series. New Mathematics and Natural Computation, 14(01), 91-111. https://doi.org/10.1142/S1793005718500072

Bas, E., Yolcu, U., & Egrioglu, E. (2021). Intuitionistic fuzzy time series functions approach for time series forecasting. Granular Computing, 6(3), 619-629. https://doi.org/10.1007/s41066-020-00220-8

Bisht, K., Joshi, D.K., Kumar, S. (2018). Dual Hesitant Fuzzy Set-Based Intuitionistic Fuzzy Time Series Forecasting. In: Perez, G., Tiwari, S., Trivedi, M., Mishra, K. (eds) Ambient Communications and Computer Systems. Advances in Intelligent Systems and Computing, vol 696. Springer, Singapore. https://doi.org/10.1007/978-981-10-7386-1_28

Bollerslev, T. (1986). Glossary to arch (garch. In in Volatility and Time Series Econometrics Essays in Honor of Robert Engle. MarkWatson, Tim Bollerslev and Je¤ rey.

Chen, S.-M., & Tanuwijaya, K. (2011). Multivariate fuzzy forecasting based on fuzzy time series and automatic clustering techniques. Expert Systems with Applications, 38(8), 10594-10605. https://doi.org/10.1016/j.eswa.2011.02.098

Egrioglu, E., Bas, E., Yolcu, U., & Chen, M. Y. (2020). Picture fuzzy time series: Defining, modeling and creating a new forecasting method. Engineering Applications of Artificial Intelligence, 88, 103367. https://doi.org/10.1016/j.engappai. 2019.103367

Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica: Journal of the econometric society, 987-1007. https://doi.org/10.2307/1912773

Franke, R., & Westerhoff, F. (2011). Estimation of a structural stochastic volatility model of asset pricing. Computational Economics, 38(1), 53-83. https://doi.org/10.1007/s10614-010-9238-7

Fryzlewicz, P. (2007). Lecture notes: Financial time series, arch and garch models. University of Bristol.

Gupta, K. K., & Kumar, S. (2019). Fuzzy time series forecasting method using probabilistic fuzzy sets Advanced Computing and Communication Technologies (pp. 35-43): Springer. https://doi.org/10.1007/978-981-13-0680-8_4

Hassan, S. G., Iqbal, S., Garg, H., Hassan, M., Shuangyin, L., & Kieuvan, T. T. (2020). Designing Intuitionistic Fuzzy Forecasting Model Combined With Information Granules and Weighted Association Reasoning. IEEE Access, 8, 141090-141103. https://doi.org/10.1109/ACCESS.2020.3012280

Haugom, E., Langeland, H., Molnár, P., & Westgaard, S. (2014). Forecasting volatility of the US oil market. Journal of Banking & Finance, 47, 1-14. https://doi.org/10.1016/j.jbankfin.2014.05.026

Huang, A. Y. (2011). Volatility modeling by asymmetrical quadratic effect with diminishing marginal impact. Computational Economics, 37(3), 301-330. https://doi.org/10.1007/s10614-011-9254-2

Huang, W.-J., Zhang, G., & Li, H.-X. (2012). A novel probabilistic fuzzy set for uncertainties-based integration inference. Paper presented at the 2012 IEEE International Conference on Computational Intelligence for Measurement Systems and Applications (CIMSA) Proceedings. https://doi.org/10.1109/CIMSA .2012.6269605

Hung, J.-C. (2009). A fuzzy GARCH model applied to stock market scenario using a genetic algorithm. Expert Systems with Applications, 36(9), 11710-11717. https://doi.org/10.1016/j.eswa.2009.04.018

Hung, J.-C. (2011a). Adaptive Fuzzy-GARCH model applied to forecasting the volatility of stock markets using particle swarm optimization. Information Sciences, 181(20), 4673-4683. https://doi.org/10.1016/j.ins.2011.02.027

Hung, J.-C. (2011b). Applying a combined fuzzy systems and GARCH model to adaptively forecast stock market volatility. Applied Soft Computing, 11(5), 3938-3945. https://doi.org/10.1016/j.asoc.2011.02.020

Iqbal, S., & Zhang, C. (2020). A new hesitant fuzzy-based forecasting method integrated with clustering and modified smoothing approach. International Journal of Fuzzy Systems, 22(4), 1104-1117. https://doi.org/10.1007/s40815-020-00829-6

Iqbal, S., Zhang, C., Arif, M., Hassan, M., & Ahmad, S. (2020). A new fuzzy time series forecasting method based on clustering and weighted average approach. Journal of Intelligent & Fuzzy Systems, 38(5), 6089-6098.

Iqbal, S., Zhang, C., Arif, M., Wang, Y., & Dicu, A. M. (2018). A Comparative Study of Fuzzy Logic Regression and ARIMA Models for Prediction of Gram Production. Paper presented at the International Workshop Soft Computing Applications. https://doi.org/10.1007/978-3-030-52190-5_21

Lei, Y., Lei, Y., & Fan, X. (2016). Multi-factor high-order intuitionistic fuzzy time series forecasting model. Journal of Systems Engineering and Electronics, 27(5), 1054-1062. https://doi.org/10.21629/JSEE.2016.05.13

Lu, W., Chen, X., Pedrycz, W., Liu, X., & Yang, J. (2015). Using interval information granules to improve forecasting in fuzzy time series. International Journal of Approximate Reasoning, 57, 1-18. https://doi.org/10.1016/j.ijar.2014.11.002

Maciel, L., Gomide, F., & Ballini, R. (2016). Evolving fuzzy-GARCH approach for financial volatility modeling and forecasting. Computational Economics, 48(3), 379-398. https://doi.org/10.1007/s10614-015-9535-2

Popov, A. A., & Bykhanov, K. V. (2005). Modeling volatility of time series using fuzzy GARCH models. Paper presented at the Proceedings. The 9th Russian-Korean International Symposium on Science and Technology. KORUS 2005.

Song, Q., & Chissom, B. S. (1993). Fuzzy time series and its models. Fuzzy sets and systems, 54(3), 269-277. https://doi.org/10.1016/0165-0114(93)90372-O

Song, Q., & Chissom, B. S. (1994). Forecasting enrollments with fuzzy time series—part II. Fuzzy sets and systems, 62(1), 1-8. https://doi.org/10.1016/0165-0114(94)90067-1

Soto, J., Melin, P., & Castillo, O. (2018). A new approach for time series prediction using ensembles of IT2FNN models with optimization of fuzzy integrators. International Journal of Fuzzy Systems, 20(3), 701-728. https://doi.org/10.1007/s40815-017-0443-6

Wang, Y. n., Lei, Y., Fan, X., & Wang, Y. (2016). Intuitionistic fuzzy time series forecasting model based on intuitionistic fuzzy reasoning. Mathematical Problems in Engineering, 2016. https://doi.org/10.1155/2016/5035160

Xiao, Z., Gong, K., & Zou, Y. (2009). A combined forecasting approach based on fuzzy soft sets. Journal of Computational and Applied Mathematics, 228(1), 326-333. https://doi.org/10.1016/j.cam.2008.09.033

Yu, H.-K. (2005). Weighted fuzzy time series models for TAIEX forecasting. Physica A: Statistical Mechanics and its Applications, 349(3-4), 609-624. https://doi.org/10.1016/j.physa.2004.11.006

Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.

Published

2022-04-04

How to Cite

Mustafa, S. ., Bajwa, A. A. ., & Iqbal, S. (2022). A New Fuzzy Grach Model to forecast Stock Market Technical Analysis. Operational Research in Engineering Sciences: Theory and Applications, 5(1), 185–204. https://doi.org/10.31181/oresta040422196m