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Campo DC | Valor | Lengua/Idioma |
---|---|---|
dc.creator | López, C. (Carlos) | - |
dc.creator | Ardanza-Trevijano, S. (Sergio) | - |
dc.creator | Elorza-Barbajero, J. (Jorge) | - |
dc.date.accessioned | 2022-02-07T10:27:23Z | - |
dc.date.available | 2022-02-07T10:27:23Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Bejines-López, C. (Carlos); Ardanza-Trevijano-Moras, S. (Sergio); Elorza-Barbajero, J. (Jorge). "On self-aggregations of min-subgroups". Axioms. 10 (3), 2021, 201 | es |
dc.identifier.issn | 2075-1680 | - |
dc.identifier.uri | https://hdl.handle.net/10171/62884 | - |
dc.description.abstract | 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. | - |
dc.description.sponsorship | The authors acknowledge the financial support of the Spanish Ministerio de Economía y Competitividad, Agencia Estatal de Investigación (AEI) and the European FEDER funds (Grant MTM 2016-79422-P and Grant PGC 2018-098623-B-I00). C. Bejines has also been supported by the Ministry of Education of the Czech Republic under Project GACR 19-09967S. | - |
dc.language.iso | en | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.subject | Aggregation function | - |
dc.subject | T-subgroupstrictly | - |
dc.subject | Monotone function | - |
dc.title | On self-aggregations of min-subgroups | - |
dc.type | info:eu-repo/semantics/article | - |
dc.description.note | This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/) | - |
dc.identifier.doi | 10.3390/axioms10030201 | - |
dadun.citation.number | 3 | - |
dadun.citation.publicationName | Axioms | - |
dadun.citation.startingPage | 201 | - |
dadun.citation.volume | 10 | - |
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