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The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership functions

Author

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  • Szymański Andrzej

    (Institute of Statistics and Demography, University of Lodz, 41 Rewolucji 1905 St., 90-214, Lodz, Poland)

  • Rossa Agnieszka

    (Institute of Statistics and Demography, University of Lodz, 41 Rewolucji 1905 St., 90-214, Lodz, Poland)

Abstract

The paper deals with a new fuzzy version of the Lee-Carter (LC) mortality model, in which mortality rates as well as parameters of the LC model are treated as triangular fuzzy numbers. As a starting point, the fuzzy Koissi-Shapiro (KS) approach is recalled. Based on this approach, a new fuzzy mortality model – CNMM – is formulated using orthonormal expansions of the inverse exponential membership functions of the model components. The paper includes numerical findings based on a case study with the use of the new mortality model compared to the results obtained with the standard LC model.

Suggested Citation

  • Szymański Andrzej & Rossa Agnieszka, 2021. "The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership functions," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 31-57, September.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:3:p:31-57:n:11
    DOI: 10.21307/stattrans-2021-026
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    References listed on IDEAS

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