Abstract
Numerous fuzzy time series (FTS) predictive models had been envisaged in past decades to cope with complicated and undetermined circumstances. The key elements: namely determination of intervals and modeling of fuzzy logical relationships, affect the model’s forecasting accuracy. The manner in which proper fuzzy relationships are generated is pivotal in establishing fuzzy interactions and predictions. Using the prevalent swarm intelligence method of particle swarm optimization (PSO), this work proposes a computational algorithm for forecasting time series by optimizing the weights of fuzzy logical relations (FLRs) of high-order weighted FTS. The relevance of each individual fuzzy relationship in predicting is shown by the weights in FTS. The model’s appropriateness was tested using the University of Alabama enrolment dataset. In the context of average forecasting and root mean square error, the suggested model’s forecasting accuracy was demonstrated to be better than the other models.
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References
Song Q, Chissom BS (1993) Fuzzy time series and its models. Fuzzy Sets Syst 54(3):269–277
Song Q, Chissom BS (1993) Forecasting enrollments with fuzzy time series—Part I. Fuzzy Sets Syst 54(1):1–9
Song Q, Chissom BS (1994) Forecasting enrollments with fuzzy time series—Part II. Fuzzy Sets Syst 62(1):1–8
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Chen SM (1996) Forecasting enrollments based on fuzzy time series. Fuzzy Sets Syst 81(3):311–319
Chen SM, Zou XY, Gunawan GC (2019) Fuzzy time series forecasting based on proportions of intervals and particle swarm optimization techniques. Inf Sci 500:127–139
Cheng SH, Chen SM, Jian WS (2016) Fuzzy time series forecasting based on fuzzy logical relationships and similarity measures. Inf Sci 327:272–287
Egrioglu E, Aladag CH, Yolcu U (2013) Fuzzy time series forecasting with a novel hybrid approach combining fuzzy c-means and neural networks. Expert Syst Appl 40(3):854–857
Huarng K, Yu TH-K (2006) Ratio-based lengths of intervals to improve fuzzy time series forecasting. IEEE Trans Syst Man Cybern B (Cybernetics) 36(2):328–340
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
Abhishekh, Gautam SS, Singh SR (2018) A refined weighted method for forecasting based on type 2 fuzzy time series. Int J Model Simulat 38(3):180–188
Gautam SS (2019) A novel moving average forecasting approach using fuzzy time series data set. J Contr Autom Electr Syst 30(4):532–544
Singh SR (2008) A computational method of forecasting based on fuzzy time series. Math Comput Simul 79(3):539–554
Jain S, Mathpal PC, Bisht D, Singh P (2018) A unique computational method for constructing intervals in fuzzy time series forecasting. Cybern Inf Technol 18(1):3–10
Bisht K, Kumar S (2019) Hesitant fuzzy set based computational method for financial time series forecasting. Granular Comput 4(4):655–669
Gangwar SS, Kumar S (2012) Partitions based computational method for high-order fuzzy time series forecasting. Expert Syst Appl 39(15):12158–12164
Gangwar SS, Kumar S (2015) Computational method for high-order weighted fuzzy time series forecasting based on multiple partitions. In: Chakraborty MK, Skowron A, Maiti M, Kar S (eds) Facets of Uncertainties and Applications: ICFUA, Kolkata, India, December 2013. Springer, New Delhi, pp 293–302. https://doi.org/10.1007/978-81-322-2301-6_22
Joshi BP, Kumar S (2012) A computational method of forecasting based on intuitionistic fuzzy sets and fuzzy time series. In: Proceedings of the international conference on soft computing for problem solving (SocProS 2011) 20–22 December 2011. Springer, New Delhi, pp 993–1000
Alam NMFHNB, Ramli N, Mohamad D (2021) Fuzzy time series forecasting model based on intuitionistic fuzzy sets and arithmetic rules. In: AIP conference proceedings, vol 2365, no 1. AIP Publishing LLC, p 050003
Yu HK (2005) Weighted fuzzy time series models for TAIEX forecasting. Physica A 349(3–4):609–624
Cheng C-H, Chen T-L, Chiang C-H (2006) Trend-weighted fuzzy time-series model for TAIEX forecasting. In: King I, Wang J, Chan L-W, Wang DL (eds) Neural Information Processing. Springer, Heidelberg, pp 469–477. https://doi.org/10.1007/11893295_52
Rubio A, Bermúdez JD, Vercher E (2016) Forecasting portfolio returns using weighted fuzzy time series methods. Int J Approx Reason 75:1–12
Kumar S (2019) A modified weighted fuzzy time series model for forecasting based on two-factors logical relationship. Int J Fuzzy Syst 21(5):1403–1417
Yang R, He J, Xu M, Ni H, Jones P, Samatova N (2018) An intelligent and hybrid weighted fuzzy time series model based on empirical mode decomposition for financial markets forecasting. In: Perner P (ed) Advances in Data Mining. Applications and Theoretical Aspects. Springer, Cham, pp 104–118. https://doi.org/10.1007/978-3-319-95786-9_8
Jiang P, Dong Q, Li P, Lian L (2017) A novel high-order weighted fuzzy time series model and its application in nonlinear time series prediction. Appl Soft Comput 55:44–62
Gautam SS, Singh SR (2020) A modified weighted method of time series forecasting in intuitionistic fuzzy environment. Opsearch 57:1022–1041
Singh P (2020) A novel hybrid time series forecasting model based on neutrosophic-PSO approach. Int J Mach Learn Cybern 11(8):1643–1658
Tinh NV (2020) Enhanced forecasting accuracy of fuzzy time series model based on combined fuzzy C-mean clustering with particle swam optimization. Int J Comput Intell Appl 19(02):2050017
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. J Intell Fuzzy Syst 38(5):6089–6098
Pattanayak RM, Behera HS, Panigrahi S (2020) A multi-step-ahead fuzzy time series forecasting by using hybrid chemical reaction optimization with pi-sigma higher-order neural network. In: Das AK, Nayak J, Naik B, Pati SK, Pelusi D (eds) Computational Intelligence in Pattern Recognition: Proceedings of CIPR 2019. Springer, Singapore, pp 1029–1041. https://doi.org/10.1007/978-981-13-9042-5_88
Zeng S, Chen SM, Teng MO (2019) Fuzzy forecasting based on linear combinations of independent variables, subtractive clustering algorithm and artificial bee colony algorithm. Inf Sci 484:350–366
Pattanayak RM, Behera HS, Panigrahi S (2020) A novel hybrid differential evolution-PSNN for fuzzy time series forecasting. In: Behera HS, Nayak J, Naik B, Pelusi D (eds) Computational Intelligence in Data Mining: Proceedings of the International Conference on ICCIDM 2018. Springer, Singapore, pp 675–687. https://doi.org/10.1007/978-981-13-8676-3_57
Pattanayak RM, Behera HS, Panigrahi S (2021) A novel probabilistic intuitionistic fuzzy set based model for high order fuzzy time series forecasting. Eng Appl Artif Intell 99:104136
Pattanayak RM, Panigrahi S, Behera HS (2020) High-order fuzzy time series forecasting by using membership values along with data and support vector machine. Arab J Sci Eng 45(12):10311–10325
Panigrahi S, Behera HS (2020) A study on leading machine learning techniques for high order fuzzy time series forecasting. Eng Appl Artif Intell 87:103245
Egrioglu E, Bas E, Yolcu U (2020) Intuitionistic fuzzy time series functions approach for time series forecasting. Granul Comput
Egrioglu E, Bas E, Yolcu U, Chen MY (2020) Picture fuzzy time series: defining, modeling and creating a new forecasting method. Eng Appl Artif Intell 88:103367
Pant M, Kumar S (2021) Particle swarm optimization and intuitionistic fuzzy set-based novel method for fuzzy time series forecasting. Granular Comput 1–19
Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN 1995-international conference on neural networks, vol 4. IEEE, pp 1942–1948
Acknowledgements
The first author gratefully acknowledges the support of the UGC (F. No. 16-9 (June 2018)/2019 (NET/CSIR)) of the Government of India for this research.
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Pant, S., Kumar, S. (2022). Particle Swarm Optimization and Computational Algorithm Based Weighted Fuzzy Time Series Forecasting Method. In: Uddin, M.S., Jamwal, P.K., Bansal, J.C. (eds) Proceedings of International Joint Conference on Advances in Computational Intelligence. Algorithms for Intelligent Systems. Springer, Singapore. https://doi.org/10.1007/978-981-19-0332-8_2
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