Multivariate High Order Fuzzy Time Series Forecasting for Car Road Accidents
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Multivariate High Order Fuzzy Time Series Forecasting for Car Road Accidents

Authors: Tahseen A. Jilani, S. M. Aqil Burney, C. Ardil

Abstract:

In this paper, we have presented a new multivariate fuzzy time series forecasting method. This method assumes mfactors with one main factor of interest. History of past three years is used for making new forecasts. This new method is applied in forecasting total number of car accidents in Belgium using four secondary factors. We also make comparison of our proposed method with existing methods of fuzzy time series forecasting. Experimentally, it is shown that our proposed method perform better than existing fuzzy time series forecasting methods. Practically, actuaries are interested in analysis of the patterns of causalities in road accidents. Thus using fuzzy time series, actuaries can define fuzzy premium and fuzzy underwriting of car insurance and life insurance for car insurance. National Institute of Statistics, Belgium provides region of risk classification for each road. Thus using this risk classification, we can predict premium rate and underwriting of insurance policy holders.

Keywords: Average forecasting error rate (AFER), Fuzziness offuzzy sets Fuzzy, If-Then rules, Multivariate fuzzy time series.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1085455

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References:


[1] G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall, India, 2005, Ch. 4.
[2] H. Ishibuchi, R. Fujioka and H. Tanaka, "Neural Networks that Learn from Fuzzy If-Then Rules", IEEE Transactions on Fuzzy Systems, Vol. 1, No. 1, pp.85-97, 1993.
[3] H. J. Zimmerman, Fuzzy set theory and its applications, Kluwer Publishers, Boston, MA, 2001.
[4] K. Huarng, "Heuristic models of fuzzy time series for forecasting," Fuzzy Sets Systems, vol. 123, no. 3, pp. 369-386, 2001a.
[5] K. Huarng, "Effective Lengths of Intervals to Improve Forecasting in Fuzzy Time Series," Fuzzy Sets System, Vol. 123, No. 3, pp. 387-394, 2001b.
[6] L. W. Lee, L. W. Wang, S. M. Chen, "Handling Forecasting Problems Based on Two-Factors High-Order Time Series," IEEE Transactions on Fuzzy Systems, Vol. 14, No. 3, pp.468-477, Jun. 2006.
[7] Melike Sah and Y. D. Konstsntin, "Forecasting Enrollment Model based on first-order fuzzy time series," Published in proc., International Conference on Computational Intelligence, Istanbul, Turkey, 2004.
[8] Q. Song and B. S. Chissom, "Forecasting Enrollments with Fuzzy Time SeriesÔÇöPart I," Fuzzy Sets and System, Vol. 54, No. 1, pp. 1-9, 1993 a.
[9] R. R. Yager and P. P. D. Filev, Essentials of FUZZY MODELING and Control, John Wiley and Sons, Inc. 2002.
[10] S. M. Chen, "Forecasting Enrollments Based on High-Order Fuzzy Time Series," Cybernetic Systems, Vol. 33, No. 1, pp. 1-16, 2002.
[11] S. Park and T. Han, "Iterative Inversion of Fuzzified Neural Networks," IEEE Transactions on Fuzzy Systems, Vol. 8, No. 3,pp. 266- 280, 2000.