RT Journal Article
T1 On Self-Aggregations of Min-Subgroups.
A1 Bejines-López, Carlos
A1 Ardanza Trevijano, Sergio
A1 Elorza, Jorge
K1 Conjuntos difusos
K1 Matemáticas aplicadas
AB Preservation of structures under aggregation functions is an active area of research with applications in many fields. Among such structures, min-subgroups play an important role, for instance, in mathematical morphology, where they can be used to model translation invariance. Aggregation of min-subgroups has only been studied for binary aggregation functions. However, results concerning preservation of the min-subgroup structure under binary aggregations do not generalize to aggregation functions with arbitrary input size since they are not associative. In this article, we prove that arbitrary self-aggregation functions preserve the min-subgroup structure. Moreover, we show that whenever the aggregation function is strictly increasing on its diagonal, a min-subgroup and its self-aggregation have the same level sets.
PB MDPI
YR 2021
FD 2021-08-19
LK https://hdl.handle.net/10630/33157
UL https://hdl.handle.net/10630/33157
LA eng
NO Bejines, C.; Ardanza.;Trevijano, S.; Elorza, J. On Self-Aggregations of Min-Subgroups. Axioms 2021, 10, 201.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026