ENHANCING FUZZY TIME SERIES FORECASTING WITH REVISED HEURISTIC KNOWLEDGE: A CASE STUDY ON TUBERCULOSIS IN SABAH

Keywords: Forecasting accuracy, Fuzzy Logical Relationship Group (FLRG), Fuzzy Time Series, Revised Heuristic Knowledge, Time series forecasting, Tuberculosis

Abstract

Accurate forecasting of tuberculosis (TB) cases is essential for effective public health planning, particularly in regions such as Sabah, Malaysia, where TB remains a significant and persistent health concern. This study aims to improve the accuracy of fuzzy time series models by refining the construction of Fuzzy Logical Relationship Groups using a revised heuristic framework. The proposed approach embeds domain-informed rules to dynamically adjust the formulation of fuzzy relationships. It was applied to monthly tuberculosis case data from 2012 to 2019 and evaluated against both the original fuzzy time series model and a heuristic-based variant. The revised heuristic model achieved the best forecasting accuracy, recording a Mean Squared Error of 1315.0160, a Root Mean Square Error of 36.2631, a Mean Absolute Error of 0.0566, and a Mean Absolute Percentage Error of 0.0138 percent. These consistently lower error values confirm the superiority of the revised model compared to the benchmarks. The study demonstrates that incorporating refined heuristic strategies enables fuzzy time series models to capture the dynamic nature of disease data more effectively. However, the analysis is limited to univariate data (monthly tuberculosis cases), and future work should consider multivariate and hybrid approaches. This research contributes to the understanding by demonstrating that revised heuristic knowledge significantly enhances the predictive capability of fuzzy time series models. The findings provide more reliable forecasts for tuberculosis trends and establish a foundation for broader applications in infectious disease forecasting and healthcare analytics.

Downloads

Download data is not yet available.

References

World Health Organisation, “GLOBAL TUBERCULOSIS REPORT,” Geneva, 2022.

R. Loheswar, “TB CASES IN MALAYSIA UP BY 17% LAST YEAR, SAYS HEALTH MINISTER,” The Star. Accessed: Jun. 30, 2025. [Online]. Available: https://www.thestar.com.my/news/nation/2023/03/24/tb-cases-in-malaysia-up-by-17-last-year-says-health-minister

The Star, “TB REMAINS A SERIOUS CONCERN, SAYS HEALTH MINISTER,” The Star. Accessed: Jun. 30, 2025. [Online]. Available: https://www.thestar.com.my/news/nation/2024/05/12/tb-remains-a-serious-concern-says-health-minister

The Borneo Post, “ SABAH RECORDS HIGHEST TB CASES IN 2023, SAYS HEALTH MINISTRY,” The Borneo Post, Mar. 2024, Accessed: Jun. 30, 2025. [Online]. Available: https://www.theborneopost.com/2024/03/18/sabah-records-highest-tb-cases-in-2023-says-health-ministry

A. D. Orjuela-Cañón, A. L. Jutinico, M. E. Duarte González, C. E. Awad García, E. Vergara, and M. A. Palencia, “TIME SERIES FORECASTING FOR TUBERCULOSIS INCIDENCE EMPLOYING NEURAL NETWORK MODELS,” Heliyon, vol. 8, no. 7, Jul. 2022, doi: https://doi.org/10.1016/j.heliyon.2022.e09897.

Q. Song and B. S. Chissom, “FUZZY TIME SERIES AND ITS MODELS,” Fuzzy Sets Syst, vol. 54, no. 3, pp. 269–277, 1993, doi: https://doi.org/10.1016/0165-0114(93)90372-O.

S. M. Chen, “FORECASTING ENROLLMENTS BASED ON FUZZY TIME SERIES,” Fuzzy Sets Syst, vol. 81, no. 3, pp. 311–319, Aug. 1996, doi: https://doi.org/10.1016/0165-0114(95)00220-0.

J. R. Hwang, S. M. Chen, and C. H. Lee, “HANDLING FORECASTING PROBLEMS USING FUZZY TIME SERIES,” Fuzzy Sets Syst, vol. 100, no. 1–3, pp. 217–228, Nov. 1998, doi: https://doi.org/10.1016/S0165-0114(97)00121-8.

K. Huarng, “HEURISTIC MODELS OF FUZZY TIME SERIES FOR FORECASTING,” Fuzzy Sets Syst, vol. 123, no. 3, pp. 369–386, 2001, doi: https://doi.org/10.1016/S0165-0114(00)00093-2.

H. K. Yu, “A REFINED FUZZY TIME-SERIES MODEL FOR FORECASTING,” Physica A: Statistical Mechanics and its Applications, vol. 346, no. 3–4, pp. 657–681, Feb. 2005, doi: https://doi.org/10.1016/j.physa.2004.07.024.

S. Sakhuja, V. Jain, S. Kumar, C. Chandra, and S. K. Ghildayal, “GENETIC ALGORITHM BASED FUZZY TIME SERIES TOURISM DEMAND FORECAST MODEL,” Industrial Management and Data Systems, vol. 116, no. 3, pp. 483–507, Apr. 2016, doi: https://doi.org/10.1108/IMDS-05-2015-0165.

S. R. Singh, “A SIMPLE METHOD OF FORECASTING BASED ON FUZZY TIME SERIES,” Appl Math Comput, vol. 186, no. 1, pp. 330–339, 2007, doi: https://doi.org/10.1016/j.amc.2006.07.128.

K. Huarng, “EFFECTIVE LENGTHS OF INTERVALS TO IMPROVE FORECASTING IN FUZZY TIME SERIES,” Fuzzy Sets Syst, vol. 123, no. 3, pp. 387–394, 2001, doi: https://doi.org/10.1016/S0165-0114(00)00057-9.

F. Time-series, S. Li, and Y. Chen, “NATURAL PARTITIONING-BASED FORECASTING MODEL FOR,” pp. 1355–1359, 2004.

N. Ramli, S. Musleha, A. Mutalib, and D. Mohamad, “PREDICTING THE UNEMPLOYMENT RATE UNDER DIFFERENT DEGREE OF CONFIDENCE FUZZY TIME SERIES FORECASTING MODEL WITH NATURAL PARTITIONING LENGTH APPROACH FOR PREDICTING THE UNEMPLOYMENT RATE UNDER DIFFERENT DEGREE OF CONFIDENCE,” in PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation, AIP Conference Proceedings, Aug. 2017. doi: https://doi.org/https://doi.org/10.1063/1.4995858.

N. H. Shafii, N. E. D. Mohd Ramli, R. Alias, and N. F. Fauzi, “FUZZY TIME SERIES AND GEOMETRIC BROWNIAN MOTION IN FORECASTING STOCK PRICES IN BURSA MALAYSIA,” Jurnal Intelek, vol. 14, no. 2, pp. 240–250, Nov. 2019, doi: https://doi.org/10.24191/ji.v14i2.241.

V. Vamitha, “A DIFFERENT APPROACH ON FUZZY TIME SERIES FORECASTING MODEL,” in Materials Today: Proceedings, Elsevier Ltd, 2020, pp. 125–128. doi: https://doi.org/10.1016/j.matpr.2020.04.579.

E. Bai, W. K. Wong, W. C. Chu, M. Xia, and F. Pan, “A HEURISTIC TIME-INVARIANT MODEL FOR FUZZY TIME SERIES FORECASTING,” Expert Syst Appl, vol. 38, no. 3, pp. 2701–2707, 2011, doi: https://doi.org/10.1016/j.eswa.2010.08.059.

L. Bhagat, G. Goyal, D. C. S. Bisht, M. Ram, and Y. Kazancoglu, “AIR QUALITY MANAGEMENT USING GENETIC ALGORITHM BASED HEURISTIC FUZZY TIME SERIES MODEL,” TQM Journal, vol. 35, no. 1, pp. 320–333, Jan. 2023, doi: https://doi.org/10.1108/TQM-10-2020-0243.

Erikha Feriyanto, Farikhin, and Nikken Prima Puspita, “VIEW OF MONTHLY RAINFALL FORECASTING USING HIGH ORDER SINGH’S FUZZY TIME SERIES BASED ON INTERVAL RATIO METHODS: CASE STUDY SEMARANG CITY, INDONESIA,” Asian Journal of Probability and Statistics, pp. 71–88, 2024, doi: https://doi.org/https://doi.org/10.9734/ajpas/2024/v26i8638.

S. Hariyanto, Y. D. Sumanto, S. Khabibah, and Zaenurrohman, “AVERAGE-BASED FUZZY TIME SERIES MARKOV CHAIN BASED ON FREQUENCY DENSITY PARTITIONING,” J Appl Math, vol. 2023, 2023, doi: https://doi.org/10.1155/2023/9319883.

Erikha Feriyanto, Farikhin Farikhin, and Nikken Prima Puspita, “SINGH’S FUZZY TIME SERIES FORECASTING MODIFICATION BASED ON INTERVAL RATIO,” Jurnal Sosial dan Sains, vol. 4, no. 4, p. 2024, 2024, doi: https://doi.org/https://doi.org/10.59188/jurnalsosains.v4i3.1248.

L. Shafi, S. Jain, P. Agarwal, P. Iqbal, and A. R. Sheergojri, “AN IMPROVED FUZZY TIME SERIES FORECASTING MODEL BASED ON HESITANT FUZZY SETS,” Journal of Fuzzy Extension and Applications, vol. 5, no. 2, pp. 173–189, Jun. 2024, doi: https://doi.org/10.22105/jfea.2024.432442.1357.

Witold Pedrycz and Shyi-Ming Chen, “TIME SERIES ANALYSIS, MODELLING AND APPLICATIONS,” 2013. [Online]. Available: http://www.springer.com/series/8578

H. Wu, H. Long, and J. Jiang, “MIXED-ORDER FUZZY TIME SERIES FORECAST,” Mathematics, vol. 13, no. 11, pp. 1705–1720, Jun. 2025, doi: https://doi.org/10.3390/math13111705.

E. Egrioglu, R. Fildes, and E. Baş, “RECURRENT FUZZY TIME SERIES FUNCTIONS APPROACHES FOR FORECASTING,” Granular Computing, vol. 7, pp. 163–170, 2022, Accessed: Sep. 11, 2025. [Online]. Available: https://link.springer.com/article/10.1007/s41066-021-00257-3?utm_source=chatgpt.com#citeas

Lalit Bhagat, Gunjan Goyal, Dinesh C.S. Bisht, Mangey Ram, and Yigit Kazancoglu, “AIR QUALITY MANAGEMENT USING GENETIC ALGORITHM BASED HEURISTIC FUZZY TIME SERIES MODEL,” The TQM Journal, vol. 35, no. 1, pp. 320–333, 2021.

Tiani Wahyu Utami, Indah Sulistiya, and M. Al Haris, “PERBANDINGAN METODE FUZZY TIME SERIES HEURISTIC DAN CHENG PADA PERAMALAN NILAI EKSPOR NONMIGAS DI INDONESIA,” Jurnal Gaussian, vol. 14, no. 1, pp. 62–73, 2025.

S. Lasaraiya, S. Zenian, R. M. Hasim, and A. Ashaari, “IMPLEMENTATION OF REVISED HEURISTIC KNOWLEDGE IN AVERAGE-BASED INTERVAL FOR FUZZY TIME SERIES FORECASTING OF TUBERCULOSIS CASES IN SABAH,” 2023. doi: https://doi.org/10.14569/IJACSA.2023.0140422.

Q. Song and B. S. Chissom, “FORECASTING ENROLLMENTS WITH FUZZY TIME SERIES - PART II,” Fuzzy Sets Syst, vol. 62, no. 1, pp. 1–8, 1994, doi: https://doi.org/10.1016/0165-0114(94)90067-1.

Published
2026-01-26
How to Cite
[1]
S. Lasaraiya, S. Zenian, R. M. Hasim, and A. Ashaari, “ENHANCING FUZZY TIME SERIES FORECASTING WITH REVISED HEURISTIC KNOWLEDGE: A CASE STUDY ON TUBERCULOSIS IN SABAH”, BAREKENG: J. Math. & App., vol. 20, no. 2, pp. 1599–1612, Jan. 2026.