Ideals and Filters on a Lattice in Neutrosophic Setting
| dc.contributor.author | Soheyb, Milles | |
| dc.date.accessioned | 2023-05-28T22:58:27Z | |
| dc.date.available | 2023-05-28T22:58:27Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The notionsofidealsandfiltershavestudiedinmanyalgebraic(crisp)fuzzystructuresandusedto study theirvariousproperties,representationsandcharacterizations.Inadditiontotheirtheoretical roles, theyhaveusedinsomeareasofappliedmathematics.Inarecentpaper,Arockiaraniand AntonyCrispinSweetyhavegeneralizedandstudiedthesenotionswithrespecttotheconceptof neutrosophic setsintroducedbySmarandachetorepresentimprecise,incompleteandinconsistent information. Inthisarticle,weaimtodeepenthestudyoftheseimportantnotionsonagivenlattice in theneutrosophicsetting.Weshowtheirvariouspropertiesandcharacterizations,inparticular, we payattentiontotheircharacterizationsbasedonofthelatticeminandmaxoperations.In addition, westudythenotionofprimesingle-valuedneutrosophicideal(respectively,filter)as interesting kindandwediscusssomeitsset-operations,complementandassociatesets | en_US |
| dc.identifier.citation | 6 | en_US |
| dc.identifier.issn | 1932-9466 | |
| dc.identifier.uri | https://dspace.cu-barika.dz/handle/123456789/501 | |
| dc.publisher | Applications and Applied Mathematics: An International Journal (AAM) | en_US |
| dc.subject | Lattice; Ideal;Filter;Single-valuedneutrosophicset;SVN-lattice;SVN-ideal;SVN- filter | en_US |
| dc.subject | SVN-lattice;SVN-ideal;SVN- filter | en_US |
| dc.title | Ideals and Filters on a Lattice in Neutrosophic Setting | en_US |
| dc.type | Article | en_US |
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