Andrzej Szymański , Agnieszka Rossa https://orcid.org/0000-0002-0444-4181
ARTICLE

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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.

KEYWORDS

exponential membership functions, Legendre’s polynomials, mortality modelling, orthonormal system

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