Please use this identifier to cite or link to this item:
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 |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.