Abstract
Time-series forecasting is a vital concern for any data having temporal variations. Comparing with the other conventional time-series methodologies, the fuzzy time-series (FTS) proved its superiority. Substantial research using time-series forecasting to predict the stock index data has been found in the earlier works. The fuzzy sets approach alone cannot explain the data thoroughly. In this article, we have proposed three different methods of time-series forecasting. The first method is based on a rough set of FTS, a rule induction-based method; the second method is based on intuitionistic FTS. The last method is the extension of the second method using differential evolution. In the first model, a fuzzy algorithm based on rules is used to derive prediction rules from the time-series data and adopt an adaptive expectation model that replaces the fuzzy logical relationships or groups. In the second method, to split the universe of discourse into a non-uniform interval, a clustering algorithm-based intuitionistic fuzzy approach is used, taking care of the membership and non-membership function. Finally, the last method has been tuned for a better outcome using differential evolution. To examine the results, contrast analyses on the Taiwan stock exchange data and daily cases of COVID-19 pandemic prediction have been carried out. The outcome of the proposed approaches validates that the first and second techniques, showing promising results. However, the third method outperforms the other methods and the present techniques concerning the root-mean-square error metric.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Q. Song, B.S. Chissom, Fuzzy time series and its models. Fuzzy Sets Syst. 54(3), 269–277 (1993)
Q. Song, B.S. Chissom, Forecasting enrolments with fuzzy time series—part I. Fuzzy Sets Syst. 54(1), 1–9 (1993)
Q. Song, B.S. Chissom, Forecasting enrolments with fuzzy time series—part II. Fuzzy Sets Syst. 62(1), 1–8 (1994)
S.M. Chen, J.R. Hwang, Temperature prediction using fuzzy time series. IEEE Trans. Syst. Man Cybern. B Cybern. 30(2), 263–275 (2000)
Q. Song, R.P. Leland, B.S. Chissom, Fuzzy stochastic fuzzy time series and its models. Fuzzy Sets Syst. 88(3), 333–341 (1997)
J.-R. Hwang, S.-M. Chen, C.-H. Lee, Handling forecasting problems using fuzzy time series. Fuzzy Sets Syst. 100(1–3), 217–228 (1998)
P. Jiang, H. Yang, J. Heng, A hybrid forecasting system based on fuzzy time series and multi-objective optimization for wind speed forecasting. Appl. Energy 235, 786–801 (2019). https://doi.org/10.1016/j.apenergy.2018.11.012
J.W. Grzymala-Busse, A new version of the rule induction system LERS. Fundam. Inform. 31, 27–39 (1997)
K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)
O. Castillo, A. Alanis, M. Garcia, H. Arias, An intuitionistic fuzzy system for time series analysis in plant monitoring and diagnosis. Appl. Soft Comput. 7(4), 1227–1233 (2007)
S. Das et al., Particle swarm optimization and differential evolution algorithms: technical analysis, applications and hybridization perspectives. Stud. Comput. Intell. SCI 116, 1–38 (2008)
S. Das, A. Abraham, U.K. Chakraborty, A. Konar, Differential evolution using a neighborhood-based mutation operator. IEEE Trans. Evol. Comput. 13(3), 526–553 (2009)
A. Wakulicz-Deja, P. Paszek, International diagnose progressive encephalopathy applying the rough set approach, JFMI 46, 119–127 (1997)
J. Kmenta, Elements of Econometrics, 2nd edn., (MacMillan, 1986)
S. Das, P.N. Suganthan, Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15(1), 4–31 (2011)
A. Halder, A. Konar, R. Mandal, A. Chakraborty, P. Bhowmik, N.R. Pal, A.K. Nagar, General and interval type-2 fuzzy face-space approach to emotion recognition. IEEE Trans. Syst. Man Cybern. Syst. 43(3), 587–605 (2013)
K.V. Price, R.M. Storn, J.A. Lampinen (eds.), Differential Evolution: A Practical Approach (Springer, New York, 2005)
S.M. Chen, P.Y. Kao, TAIEX forecasting based on fuzzy time-series, particle swarm optimization techniques and support vector machines. Inf. Sci. 247, 62–71 (2013)
G.A. Miller, The magical number seven, plus or minus two: some limits on our capacity for processing information. Psychol. Rev. 63, 81–97 (1956)
J.L. Elman, Finding structure in time. Cogn. Sci. 14, 179–211 (1990)
H.-K. Yu, A refined fuzzy time-series model for forecasting. Physica A 346(3/4), 657–681 (2005)
Y. Ren, P.N. Suganthan, N. Srikanth, A novel empirical mode decomposition with support vector regression for wind speed forecasting. IEEE Trans. Neural Netw. Learn. Syst. 27(8), 1–6 (2016)
Y. Wan, Y.-W. Si, Adaptive neuro fuzzy inference system for chart pattern matching in financial time series. Appl. Soft Comput. 57, 1–18 (2017)
B.S. Liang, D.L. Cao, Fuzzy Mathematics and Applications (Science Press, Beijing, China, 2007)
J.C. Dunn, A Graph Theoretic analysis of pattern classification via Tamura’s fuzzy relation. IEEE Trans. Syst. Man Cybern. SMC-4(3), 310–313 (1974). https://doi.org/10.1109/tsmc.1974.5409141
Y.J. Lei, J. Zhao, Y.L. Lu, Y. Wang, Y. Lei, Z.H. Shi, Theories and Applications of Intuitionistic Fuzzy Set (Science Press, Beijing, China, 2014)
Z.M. Yaseen, M.I. Ghareb, I. Ebtehaj, H. Bonakdari, R. Siddique, S. Heddam, R. Deo, Rainfall pattern forecasting using novel hybrid intelligent model based ANFIS-FFA. Water Resour. Manag. 32(1), 105–122 (2017). https://doi.org/10.1007/s11269-017-1797-0
W. Lu, X.Y. Chen, W. Pedrycz, X.D. Liu, J. Yang, Using interval information granules to improve forecasting in fuzzy time series. Int. J. Approx. Reason. 57(1), 1–18 (2015)
L.A. Zadeh, Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
D. Parbat, O. Chakraborty, A Python based support vector regression model for prediction of Covid19 cases in India. Chaos Solitons Fractals 109942 (2020). https://doi.org/10.1016/j.chaos.2020.109942
N. Poonia, S. Azad, Short-term forecasts of COVID-19 spread across Indian states until 1 May 2020, arXiv preprint arXiv:2004.13538, https://arxiv.org/abs/2004.13538
S. Panigrahi, H.S. Behera, A study on leading machine learning techniques for high order fuzzy time series forecasting. Eng. Appl. Artif. Intell. 87, 103245 (2020)
S.-M. Chen, S.-W. Chen, Fuzzy forecasting based on two factors second-order fuzzy-trend logical relationship groups and the probabilities of trends of fuzzy logical relationships. IEEE Trans. Cybern. 45(3), 405–417 (2015)
B.P. Joshi, S. Kumar, Intuitionistic fuzzy sets based method for fuzzy time series forecasting. Cybern. Syst. 43(1), 34–47 (2012)
S.-M. Chen, H.-P. Chu, T.-W. Sheu, TAIEX forecasting using fuzzy time series and automatically generated weights of multiple factors. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 42(6), 1485–1495 (2012)
T. Zhan, F. Xiao. A fast evidential approach for stock forecasting. arXiv:2104.05204, https://arxiv.org/abs/2104.05204
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Deb, P.P., Bhattacharya, D., Chatterjee, I. (2022). Fuzzy Time-Series Models Based on Intuitionistic Fuzzy, Rough Set Fuzzy, and Differential Evolution. In: Singh, P.K., Singh, Y., Chhabra, J.K., Illés, Z., Verma, C. (eds) Recent Innovations in Computing. Lecture Notes in Electrical Engineering, vol 855. Springer, Singapore. https://doi.org/10.1007/978-981-16-8892-8_10
Download citation
DOI: https://doi.org/10.1007/978-981-16-8892-8_10
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-8891-1
Online ISBN: 978-981-16-8892-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)