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The Complex-Number Mortality Model (CNMM) based on orthonormal expansion of membership function
- Source :
- Statistics in Transition, Vol 22, Iss 3 (2021)
- Publication Year :
- 2021
- Publisher :
- Polish Statistical Association (via Exeley Inc.), 2021.
-
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.
- Subjects :
- Statistics and Probability
mortality modelling
ddc:519
s polynomials
exponential membership functions
Mortality model
Mortality rate
Statistics & Probability
Statistics
Legendre’s polynomials
Fuzzy logic
HA1-4737
Legendre’
Orthonormal basis
Statistics, Probability and Uncertainty
Complex number
orthonormal system
Membership function
Mathematics
Subjects
Details
- ISSN :
- 24500291 and 12347655
- Volume :
- 22
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Statistics in Transition New Series
- Accession number :
- edsair.doi.dedup.....36827466d3e901501ee918d87d886b42