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dc.creatorBejines-López, C. (Carlos)-
dc.creatorArdanza-Trevijano, S. (Sergio)-
dc.creatorElorza-Barbajero, J. (Jorge)-
dc.date.accessioned2022-02-07T10:27:23Z-
dc.date.available2022-02-07T10:27:23Z-
dc.date.issued2021-
dc.identifier.citationBejines-López, C. (Carlos); Ardanza-Trevijano-Moras, S. (Sergio); Elorza-Barbajero, J. (Jorge). "On self-aggregations of min-subgroups". Axioms. 10 (3), 2021, 201es
dc.identifier.issn2075-1680-
dc.identifier.urihttps://hdl.handle.net/10171/62884-
dc.description.abstractPreservation 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.sponsorshipThe 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.isoen-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.subjectAggregation function-
dc.subjectT-subgroupstrictly-
dc.subjectMonotone function-
dc.titleOn self-aggregations of min-subgroups-
dc.typeinfo:eu-repo/semantics/article-
dc.description.noteThis 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.doi10.3390/axioms10030201-
dadun.citation.number3-
dadun.citation.publicationNameAxioms-
dadun.citation.startingPage201-
dadun.citation.volume10-

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