DC FieldValueLanguage
dc.contributor.authorHorváth, Eszter K.en
dc.contributor.authorRadeleczki, Sándoren
dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorTepavčević, Andrejaen
dc.date.accessioned2020-04-12T18:10:35Z-
dc.date.available2020-04-12T18:10:35Z-
dc.date.issued2020-01-01en
dc.identifier.issn0165-0114en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/358-
dc.description.abstractWe analyze cuts of poset-valued functions relating them to residuated mappings. Dealing with the lattice-valued case we prove that a function μ:X→L induces a residuated map f:L→P(X) whose values are the cuts of μ and we describe the corresponding residual. Conversely, it turns out that every residuated map f from L to the power set of X determines a lattice valued function μ:X→L whose cuts coincide with the values of f. For general poset-valued functions, we give conditions under which the map sending an element of a poset to the corresponding cut is quasi-residuated, and then conditions under which it is also residuated. We prove that without additional conditions, the map analogue to the residual is a partial function hence we get particular weakly residuated maps which, on the power set of the domain, generate centralized systems instead of closures. We show that the main properties of residuated maps are preserved in this generalized case. We apply these results to the canonical representation of poset-valued and lattice-valued functions, using the corresponding closures and centralized systems.en
dc.publisherElsevier-
dc.relationHungarian Research, Development and Innovation Office under grant number KH 126581-
dc.relationDevelopment of methods of computation and information processing: theory and applications-
dc.relation.ispartofFuzzy Sets and Systemsen
dc.subjectCuts | Lattice-valued functions | Poset-valued functions | Poset-valued fuzzy sets | Residuated mappingsen
dc.titleCuts of poset-valued functions in the framework of residuated mapsen
dc.typeArticleen
dc.identifier.doi10.1016/j.fss.2020.01.003en
dc.identifier.scopus2-s2.0-85077923321en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.description.rankM21a-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-5716-604X-
crisitem.project.funderMESTD-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013-
Show simple item record

SCOPUSTM   
Citations

2
checked on Jan 30, 2023

Page view(s)

44
checked on Jan 30, 2023

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.