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The modified fuzzy mortality model based on the algebra of ordered fuzzy numbers
Author(s) -
Szymański Andrzej,
Rossa Agnieszka
Publication year - 2021
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.202000025
Subject(s) - fuzzy logic , mathematics , fuzzy number , algebra over a field , statistics , fuzzy set , computer science , pure mathematics , artificial intelligence
The new trends in fuzzy analysis are based on the algebraic approach to fuzzy numbers. The essential idea in such an approach is representing the membership function of a fuzzy number as an element of any square‐integrable function space. As a starting point, we consider the Koissi–Shapiro model known as a fuzzy version of the Lee–Carter mortality model, in which triangular membership functions of fuzzy variables are assumed. In our approach, the algebra of ordered fuzzy numbers is used to reformulate the fuzzy Lee–Carter mortality model and to improve the prediction accuracy.