On join-complete implication algebras
| dc.contributor.author | Yong-ho Yon | |
| dc.contributor.author | Şule Ayar Özbal | |
| dc.contributor.author | Özbal, Şule Ayar | |
| dc.contributor.author | Yon, Yong Ho | |
| dc.date.accessioned | 2025-10-06T17:48:57Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper first we consider an algebra that has a binary operation and a join of arbitrary nonempty subset. A lattice implication algebra is a lattice with a binary operation which has a join and a meet of finite nonempty subsets. In this work the notion of join-complete implication algebras L is defined as a join-complete lattice with a binary operation and some properties of this algebra L are searched. Moreover we prove that the interval [a 1] in L is a lattice implication algebra and show that L satisfies the completely distributive law when it has the smallest element 0. Finally we state the concept of filter and multipliers of L and provide finite and infinite examples of them. In addition we research some properties of these concepts in detail. © 2024 Elsevier B.V. All rights reserved. | |
| dc.description.sponsorship | Open access funding provided by the Scientific and Technological Research Council of Türkiye (TÜBİTAK). | |
| dc.description.sponsorship | Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK | |
| dc.identifier.doi | 10.1007/s00500-023-09624-5 | |
| dc.identifier.issn | 14327643, 14337479 | |
| dc.identifier.issn | 1432-7643 | |
| dc.identifier.issn | 1433-7479 | |
| dc.identifier.scopus | 2-s2.0-85198065852 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85198065852&doi=10.1007%2Fs00500-023-09624-5&partnerID=40&md5=88fed931c4b825b178d703852a60dd86 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/8187 | |
| dc.identifier.uri | https://doi.org/10.1007/s00500-023-09624-5 | |
| dc.language.iso | English | |
| dc.publisher | Springer Science and Business Media Deutschland GmbH | |
| dc.relation.ispartof | Soft Computing | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Soft Computing | |
| dc.subject | Filter, Join-complete Implication Algebra, Lattice Implication Algebra, Multiplier, Fuzzy Filters, Binary Operations, Complete Lattices, Distributive Laws, Filter, Implication Algebra, Join-complete Implication Algebra, Lattice Implication Algebra, Multiplier, Nonempty Subsets, Property, Algebra | |
| dc.subject | Fuzzy filters, Binary operations, Complete lattices, Distributive laws, Filter, Implication algebra, Join-complete implication algebra, Lattice implication algebra, Multiplier, Nonempty subsets, Property, Algebra | |
| dc.subject | Filter | |
| dc.subject | Lattice Implication Algebra | |
| dc.subject | Join-Complete Implication Algebra | |
| dc.subject | Multiplier | |
| dc.title | On join-complete implication algebras | |
| dc.type | Article | |
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| gdc.description.department | ||
| gdc.description.departmenttemp | [Yon Y.H.] Department of Software Liberal Art, Mokwon University, Daejeon, 35349, South Korea; [Özbal Ş.A.] Department of Mathematics, Faculty of Science and Letter, Yaşar University, Izmir, 35100, Turkey | |
| gdc.description.endpage | 7708 | |
| gdc.description.issue | 13-14 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 7701 | |
| gdc.description.volume | 28 | |
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| gdc.virtual.author | Ayar Özbal, Şule | |
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| person.identifier.scopus-author-id | Yon- Yong-ho (55181455200), Ayar Özbal- Şule (36598940800) | |
| project.funder.name | Open access funding provided by the Scientific and Technological Research Council of T\u00FCrkiye (T\u00DCB\u0130TAK). | |
| publicationissue.issueNumber | 13-14 | |
| publicationvolume.volumeNumber | 28 | |
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