Claim reserving with fuzzy regression

Tahereh BAHRAMI, Masuod BAHRAMI
1.642 433

Abstract


Abstract. Claims reserving plays a key role for the insurance. Therefore, various statistical methods are used to provide for an adequate amount of claim reserves. Since claim reserves are always variable, fuzzy set theory is used to handle this variability. In this paper, non-symmetric fuzzy regression is integrated in the Taylor’s method to develop a new method for claim reserving.


Keywords


Fuzzy number, fuzzy regression, claim reserves, Taylor’s geometric separation method

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References


Chang, P.T., Lee, E.S., 1996. A generalization fuzzy weighted least-squares regression.

Fuzzy Sets systems 82, 289-298. Chang, P.T., 1997. Fuzzy seasonality forecasting. Fuzzy Sets Systems 90, 1-10.

Diamond, P., Kloeden, P. 1994. Metric Spaces of Fuzzy Sets. Theory and Application.

World Scientific, Singapore. Dubois, D., Prade, H., 1980. Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York.

Kacprzyk, J., Fedrizzi, M, (Eds.), 1992.Fuzzy regression Analysis. Omnitech and Heidelbreg: Physic, Waesaw.

Tanaka, H., S. Uejima and K. Asai. 1982. Liner regression analysis with Fuzzy model.

IEEE Trans. System Man Cybernet. 12: 903-907. Zimmermann, H. J. 1996. Fuzzy Sets Theory and Its application. Kluwer Academic Pub. , Boston. )n n ∑ ∑ =i 1j=−+i+i+1 =i 1j=−+i+i+1 =i n+i+1 n n+i+1 n+i+1 rˆCji ,Cjiji 2 2i1j=−+i+i+11