2026-05-30T01:49:33Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/331572026-02-03T11:22:55Zcom_10630_2254col_10630_37953

On Self-Aggregations of Min-Subgroups. Bejines-López, Carlos Ardanza Trevijano, Sergio Elorza, Jorge Conjuntos difusos Matemáticas aplicadas 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. 2024-09-25T08:39:30Z 2024-09-25T08:39:30Z 2024-09-25T08:39:30Z 2021-08-19 journal article Bejines, C.; Ardanza.;Trevijano, S.; Elorza, J. On Self-Aggregations of Min-Subgroups. Axioms 2021, 10, 201. https://hdl.handle.net/10630/33157 10.3390/axioms10030201 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional MDPI