RT Journal Article
T1 Aggregation of fuzzy subgroups.
A1 Bejines-López, Carlos
A1 Chasco Ugarte, María Jesús
A1 Elorza, Jorge
K1 Conjuntos difusos
K1 Matemáticas aplicadas
AB Given an aggregation function, and two fuzzy subgroups of a group, this study investigates whether the aggregation of them is also a fuzzy subgroup. It is proven that if the cardinal of the group is a prime power, then it is always a fuzzy subgroup. For a general group, it is proven that the existence of a binary relation between the fuzzy subgroups determines if their aggregation is a fuzzy subgroup. Moreover, given two fuzzy subgroups, if the aggregation of them is a fuzzy subgroup for some strictly monotone aggregation function, then it is a fuzzy subgroup for any aggregation function. The present study also examines conditions on the aggregation function that characterise the case where the aggregation of two arbitrary fuzzy subgroups is also a fuzzy subgroup.
PB Elsevier
SN 0165-0114
YR 2020
FD 2020-06-02
LK https://hdl.handle.net/10630/33236
UL https://hdl.handle.net/10630/33236
LA spa
NO Bejines, C., Chasco, M. J., & Elorza, J. (2021). Aggregation of fuzzy subgroups. Fuzzy Sets and Systems, 418, 170–184. https://doi.org/https://doi.org/10.1016/j.fss.2020.05.017
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026