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dc.contributor.authorBudimirović, Brankaen
dc.contributor.authorBudimirović, Vjekoslaven
dc.contributor.authorŠešelja, Branimiren
dc.contributor.authorTepavčević, Andrejaen
dc.date.accessioned2020-04-12T18:10:38Z-
dc.date.available2020-04-12T18:10:38Z-
dc.date.issued2014-05-10en
dc.identifier.issn0020-0255en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/380-
dc.description.abstractThe notion of a fuzzy identity is introduced on a fuzzy subalgebra in the framework of fuzzy equalities instead of the crisp one. A fuzzy identity may be satisfied by a fuzzy subalgebra, while the underlying crisp algebra need not satisfy the analogous crisp identity. Among other properties, it is shown that for every fuzzy subalgebra μ of A there is a least fuzzy equality such that a fuzzy identity holds on μ. As an application, fuzzy semigroups are introduced with respect to a fuzzy equality. In particular, fuzzy semilattices, cancellative and regular fuzzy semigroups are investigated.en
dc.publisherElsevier-
dc.relationDevelopment of methods of computation and information processing: theory and applications-
dc.relationDevelopment of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education-
dc.relationProvincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, grant ”Ordered structures and applications”-
dc.relation.ispartofInformation Sciencesen
dc.subjectComplete lattice | Fuzzy algebra | Fuzzy congruence | Fuzzy equality | Fuzzy identity | Fuzzy semigroupen
dc.titleFuzzy identities with application to fuzzy semigroupsen
dc.typeArticleen
dc.identifier.doi10.1016/j.ins.2013.11.007en
dc.identifier.scopus2-s2.0-84894097777en
dc.relation.firstpage148en
dc.relation.lastpage159en
dc.relation.volume266en
dc.description.rankM21a-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-5716-604X-
crisitem.project.funderMESTD-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/044006e.php-
crisitem.project.fundingProgramBasic Research (BR or ON)-
crisitem.project.fundingProgramNATIONAL HEART, LUNG, AND BLOOD INSTITUTE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174013-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL HEART, LUNG, AND BLOOD INSTITUTE/5R01HL044006-04-
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