Multivariate High Order Fuzzy Time Series Forecasting for Car Road Accidents

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.

Authors:

• Tahseen A. Jilani
• S. M. Aqil Burney
• C. Ardil

Keywords:

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

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