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

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