@misc{10481/86364,
year = {2023},
month = {9},
url = {https://hdl.handle.net/10481/86364},
abstract = {In this paper we propose a general method for the approximation of an arbitrary fuzzy
number. This method, which is constructive, recovers and properly extends some well-known
approximations such as those obtained in terms of polygonal fuzzy numbers or simple fuzzy
numbers. We prove the convergence of the general method and study the properties of the
approximation operator, such as its compatibility with arithmetic operations of fuzzy numbers
and with some of their important characteristics. In addition to this, we illustrate the method
with some particularly interesting cases by providing algorithms, of great simplicity for practical
use and apply them to some numerical examples. Furthermore, the approximations we construct
are particularly simple from the point of view of fuzzy arithmetic and preserve some of their most
important characteristics.},
organization = {Junta de Andalucía Project FQM359},
organization = {“Maria de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033},
publisher = {Elsevier B.V.},
keywords = {Fuzzy number},
keywords = {Schauder bases},
keywords = {Approximation of functions},
title = {A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics},
doi = {https://doi.org/10.1016/j.fss.2023.108727},
author = {Berenguer Maldonado, María Isabel and Gámez Domingo, Domingo and Garralda Guillén, Ana Isabel and Ruiz Galán, Manuel},
}