DC Field | Value | Language |
---|---|---|
dc.contributor.author | Šešelja, Branimir | en |
dc.contributor.author | Tepavčević, Andreja | en |
dc.date.accessioned | 2020-04-12T18:10:36Z | - |
dc.date.available | 2020-04-12T18:10:36Z | - |
dc.date.issued | 2020-10-15 | en |
dc.identifier.issn | 0165-0114 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/361 | - |
dc.description.abstract | We introduce Ω-groups as particular Ω-groupoids, a structure with a single binary operation and an Ω-equality replacing the classical one. The membership values belong to a complete lattice Ω. We analyze and compare languages in which such structures can be introduced. We prove the equivalence of approaches to Ω-groups as algebras with three operations and those in the language of Ω-groupoids. We also introduce a wider class of Ω-groups, so called weak Ω-groups for which different neutral elements and different inverses of the same member are equal up to the Ω-equality. For all these, quotient structures with respect to cuts of the Ω-equality are classical groups. We present basic features of Ω-groups in the language with one binary operation. As an application, we show that linear equations can be uniquely (up to Ω-equality) solved in these structures. | en |
dc.publisher | Elsevier | - |
dc.relation | Development of methods of computation and information processing: theory and applications | - |
dc.relation | Provincial Secretariat for Higher Education and Scientific Research AP Vojvodina, grant “Computational intelligence and relational equations in forensics”, Grant No. 142-451-3642/2017-01 | - |
dc.relation.ispartof | Fuzzy Sets and Systems | en |
dc.subject | Group | Lattice-valued groupoid | Ω-algebra | Ω-group | Ω-set | en |
dc.title | Ω-groups in the language of Ω-groupoids | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/j.fss.2019.08.007 | en |
dc.identifier.scopus | 2-s2.0-85070826237 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 152 | - |
dc.relation.lastpage | 167 | - |
dc.relation.volume | 397 | - |
dc.description.rank | M21a | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.project.funder | MESTD | - |
crisitem.project.fundingProgram | Basic Research (BR or ON) | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013 | - |
crisitem.author.orcid | 0000-0002-5716-604X | - |
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