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Part of the book series: Advances in Soft Computing ((AINSC,volume 41))

Abstract

In this paper, we have presented new multivariate fuzzy time series (FTS) forecasting method. This method assume m-factors with one main factor of interest. Stochastic fuzzy dependence of order k is assumed to define general method of multivariate FTS forecasting and control. This new method is applied for forecasting total number of car road accidents causalities in Belgium using four secondary factors. Practically, in most of the situations, actuaries are interested in analysis of the patterns of casualties in road accidents. Such type of analysis supports in deciding approximate risk classification and forecasting for each area of a city. This directly affects the underwriting process and adjustment of insurance premium, based on risk intensity for each area. Thus, this work provides support in deciding the appropriate risk associated with an insured in a particular area. Finally, comparison is also made with most recent available work on fuzzy time series forecasting.

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References

  1. Chen, S.M.: Forecasting Enrollments Based on High-Order Fuzzy Time Series. Cybernetic Systems 33(1), 1–16 (2002)

    Article  Google Scholar 

  2. Huarng, K.: Heuristic Models of Fuzzy Time Series for Forecasting. Fuzzy Sets Systems 123(3), 369–386 (2001a)

    Article  MATH  MathSciNet  Google Scholar 

  3. Huarng, K.: Effective Lengths of Intervals to Improve Forecasting in Fuzzy Time Series. Fuzzy Sets System 123(3), 387–394 (2001b)

    Article  MATH  MathSciNet  Google Scholar 

  4. Ishibuchi, H., Fujioka, R., Tanaka, H.: Neural Networks that Learn from Fuzzy If-Then Rules. IEEE Trans. on Fuzzy Systems 1(1), 85–97 (1993)

    Article  Google Scholar 

  5. Jilani, T.A., Burney, S.M.A., Argil, C.: Multivariate High Order Fuzzy Time Series Forecasting. Trans. Pm Engineering, Computing and Technology 19, 288–293 (2007)

    Google Scholar 

  6. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall. India, New Delhi (2005)

    Google Scholar 

  7. Lee, L.W., Wang, L.W., Chen, S.M.: Handling Forecasting Problems Based on Two-Factor High-Order Time Series. IEEE Trans. on Fuzzy Systems 14(3), 468–477 (2006)

    Article  Google Scholar 

  8. Melike, S., Konstsntin, Y.D.: Forecasting Enrollment Model Based on First-Order Fuzzy Time Series. In: Proc. Int. Con. on Computational Intelligence, Istanbul, Turkey (2004)

    Google Scholar 

  9. Park, S., Han, T.: Iterative Inversion of Fuzzified Neural Networks. IEEE Trans. on Fuzzy Systems 8(3), 266–280 (2000)

    Article  MathSciNet  Google Scholar 

  10. Song, Q., Chissom, B.S.: Forecasting Enrollments with Fuzzy Time Series—Part I. Fuzzy Sets and System 54(1), 1–9 (1993a)

    Article  MathSciNet  Google Scholar 

  11. Yager, R.R., Filev, P.P.D.: Essentials of Fuzzy Modeling and Control. John Wiley and Sons, Chichester (2002)

    Google Scholar 

  12. Zimmerman, H.J.: Fuzzy Set Theory and Its Applications. Kluwer Academic Publishers, Boston (2001)

    Google Scholar 

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Patricia Melin Oscar Castillo Eduardo Gomez Ramírez Janusz Kacprzyk Witold Pedrycz

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© 2007 Springer-Verlag Berlin Heidelberg

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Jilani, T.A., Burney, S.M.A. (2007). M-Factor High Order Fuzzy Time Series Forecasting for Road Accident Data. In: Melin, P., Castillo, O., Ramírez, E.G., Kacprzyk, J., Pedrycz, W. (eds) Analysis and Design of Intelligent Systems using Soft Computing Techniques. Advances in Soft Computing, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72432-2_25

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  • DOI: https://doi.org/10.1007/978-3-540-72432-2_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72431-5

  • Online ISBN: 978-3-540-72432-2

  • eBook Packages: EngineeringEngineering (R0)

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