Novel Graph Neighborhoods Emerging from Ideals

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dc.authoridBatrancea, Larissa/0000-0001-6254-2970
dc.authorscopusid10046033400
dc.authorscopusid35486716300
dc.authorscopusid35202902000
dc.authorscopusid55857410000
dc.authorscopusid55233617600
dc.contributor.authorGuler, Aysegul Caksu
dc.contributor.authorBalci, Mehmet Ali
dc.contributor.authorBatrancea, Larissa M.
dc.contributor.authorAkguller, Omer
dc.contributor.authorGaban, Lucian
dc.date.accessioned2024-08-25T18:53:36Z
dc.date.available2024-08-25T18:53:36Z
dc.date.issued2023
dc.departmentEge Üniversitesien_US
dc.description.abstractRough set theory is a mathematical approach that deals with the problems of uncertainty and ambiguity in knowledge. Neighborhood systems are the most effective instruments for researching rough set theory in general. Investigations on boundary regions and accuracy measures primarily rely on two approximations, namely lower and upper approximations, by using these systems. The concept of the ideal, which is one of the most successful and effective mathematical tools, is used to obtain a better accuracy measure and to decrease the boundary region. Recently, a generalization of Pawlak's rough set concept has been represented by neighborhood systems of graphs based on rough sets. In this research article, we propose a new method by using the concepts of the ideal and different neighborhoods from graph vertices. We examine important aspects of these techniques and produce accuracy measures that exceed those previously = reported in the literature. Finally, we show that our method yields better results than previous techniques utilized in chemistry.en_US
dc.description.sponsorshipUniversity of Alba Iulia, Romaniaen_US
dc.description.sponsorshipThis research study was conducted with financial support from the 1 Decembrie 1918 University of Alba Iulia, Romania.en_US
dc.identifier.doi10.3390/math11102305
dc.identifier.issn2227-7390
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85160516182en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/math11102305
dc.identifier.urihttps://hdl.handle.net/11454/103175
dc.identifier.volume11en_US
dc.identifier.wosWOS:000997892400001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.ispartofMathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240825_Gen_US
dc.subjectrough setsen_US
dc.subjectgraph topologyen_US
dc.subjectapproximationsen_US
dc.subjectidealen_US
dc.subjectRough Setsen_US
dc.subjectTopological Structuresen_US
dc.titleNovel Graph Neighborhoods Emerging from Idealsen_US
dc.typeArticleen_US

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