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http://dspace.cu-barika.dz/jspui/handle/123456789/501| Title: | Ideals and Filters on a Lattice in Neutrosophic Setting |
| Authors: | Soheyb, Milles |
| Keywords: | Lattice; Ideal;Filter;Single-valuedneutrosophicset;SVN-lattice;SVN-ideal;SVN- filter SVN-lattice;SVN-ideal;SVN- filter |
| Issue Date: | 2021 |
| Publisher: | Applications and Applied Mathematics: An International Journal (AAM) |
| Citation: | 6 |
| 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 |
| URI: | http://dspace.cu-barika.dz/jspui/handle/123456789/501 |
| ISSN: | 1932-9466 |
| Appears in Collections: | Department of Maths - قسم الرياضيات |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Ideals and Filters on a Lattice in Neutrosophic Setting.pdf | 361,38 kB | Adobe PDF | View/Open |
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