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

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Szymański A., Rossa A.
Statistics in Transition new series
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2021
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vol. 22
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issue 3
31-57
EN
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.
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