Fuzzy Ideals of Sheffer Stroke Hilbert Algebras
| dc.contributor.author | Oner T. | |
| dc.contributor.author | Katıcan Tuğçe | |
| dc.contributor.author | Borumand Saeid A. | |
| dc.date.accessioned | 2023-06-16T14:59:22Z | |
| dc.date.available | 2023-06-16T14:59:22Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T-fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T-fuzzy ideal) is a T-fuzzy subalgebra but the converse does not generally hold. As in T-fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T-fuzzy ideals are proved. © 2022, The Author(s), under exclusive licence to The National Academy of Sciences, India. | en_US |
| dc.description.sponsorship | The authors are thankful to the referees for a careful reading of the paper and for valuable comments and suggestions. | en_US |
| dc.identifier.doi | 10.1007/s40010-022-00794-9 | |
| dc.identifier.issn | 0369-8203 | |
| dc.identifier.issn | 2250-1762 | |
| dc.identifier.scopus | 2-s2.0-85135223871 | |
| dc.identifier.uri | https://doi.org/10.1007/s40010-022-00794-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/3429 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Proceedings of the National Academy of Sciences India Section A - Physical Sciences | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (T-)fuzzy subalgebra | en_US |
| dc.subject | Sheffer stroke Hilbert algebra | en_US |
| dc.subject | T-conorm | en_US |
| dc.subject | T-fuzzy ideal | en_US |
| dc.title | Fuzzy Ideals of Sheffer Stroke Hilbert Algebras | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 6505910883 | |
| gdc.author.scopusid | 57571526400 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.departmenttemp | Oner, T., Department of Mathematics, Faculty of Science, Ege University, Izmir, 35100, Turkey; Katican, T., Department of Mathematics, Faculty of Arts and Sciences, İzmir University of Economics, Izmir, Turkey; Borumand Saeid, A., Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | en_US |
| gdc.description.endpage | 94 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 85 | en_US |
| gdc.description.volume | 93 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W4288826076 | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 2.0 | |
| gdc.oaire.influence | 3.3416887E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | T-conorm | |
| gdc.oaire.keywords | Sheffer stroke Hilbert algebra | |
| gdc.oaire.keywords | (T-)fuzzy subalgebra | |
| gdc.oaire.keywords | T-fuzzy ideal | |
| gdc.oaire.keywords | BCK-algebras, BCI-algebras | |
| gdc.oaire.keywords | \(T\)-fuzzy ideal | |
| gdc.oaire.keywords | \(T\)-conorm | |
| gdc.oaire.keywords | Ordered semigroups and monoids | |
| gdc.oaire.keywords | Structure theory of Boolean algebras | |
| gdc.oaire.keywords | (\(T\)-)fuzzy subalgebra | |
| gdc.oaire.keywords | Logical aspects of lattices and related structures | |
| gdc.oaire.popularity | 3.7073002E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.40097991 | |
| gdc.openalex.normalizedpercentile | 0.61 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 2 | |
| gdc.scopus.citedcount | 2 | |
| gdc.virtual.author | Katıcan, Tuğçe | |
| relation.isAuthorOfPublication | 8fd08b0a-b772-4e2d-b78f-a929dbe07675 | |
| relation.isAuthorOfPublication.latestForDiscovery | 8fd08b0a-b772-4e2d-b78f-a929dbe07675 | |
| relation.isOrgUnitOfPublication | 9fb4f7d7-bc42-4427-abc8-046d10845333 | |
| relation.isOrgUnitOfPublication | a42dba5b-3d5d-430e-8f4c-10d6dbc69123 | |
| relation.isOrgUnitOfPublication | e9e77e3e-bc94-40a7-9b24-b807b2cd0319 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9fb4f7d7-bc42-4427-abc8-046d10845333 |
Files
Original bundle
1 - 1 of 1