@misc{10481/81410,
year = {2023},
month = {2},
url = {https://hdl.handle.net/10481/81410},
abstract = {In the fuzzy theory of sets and groups, the use of α-levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong α-levels, it is possible to establish a one to one correspondence which makes possible doubly, a gradual and a functorial treatment of the fuzzy theory. The main result of this paper is to identify the class of fuzzy sets, respectively, fuzzy groups, with subcategories of the functorial categories Set (0, 1], resp., Gr (0, 1]. In this line, the algebraic potential of this theory will be reached, in forthcoming papers.},
organization = {Research Group “FQM-266-Anillos y Módulos.},
organization = {rant A-FQM-394-UGR20 from Programa Operativo FEDER 2014–2020 and Consejería de Economía, Conocimiento, Empresas y Universidad de la Junta de Andalucía (Spain)},
organization = {María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/.},
publisher = {Hindawi},
title = {Gradual Sets: An Approach to Fuzzy Sets},
doi = {10.1155/2023/6163672},
author = {García Hernández, Josefa María and Jara Martínez, Pascual},
}