Rough approximations based on different topologies via ideals

dc.contributor.author Esra Dalan Yıldırım
dc.contributor.author Aysegul Caksu Guler
dc.contributor.author Oya Ozbakir
dc.contributor.author Yildirim, Esra Dalan
dc.contributor.author Guler, Aysegul Caksu
dc.contributor.author Ozbakir, Oya Bedre
dc.date.accessioned 2025-10-22T16:05:11Z
dc.date.issued 2022
dc.description.abstract In this paper we generalize the notations of rough sets based on the topological space. Firstly we produce\rvarious topologies by using the concept of ideal $C_j$ -neighbourhoods and $P_j$ -neighbourhoods. When we compare these topologies with previous topologies we see that these topologies are more general. Then we introduce new methods\rto find the approximations by using these generated topologies. When we compare these methods with the previous\rmethods we see that these methods are more accurate.
dc.identifier.citation [1] Abd El-Monsef ME Salama AS Embaby OA. Granular computing using mixed neighborhood systems. Journal of Institute of Mathematics and Computer Sciences 2009, 20 (2): 233-243.[2] Abd El-Monsef ME Embaby OA El-Bably MK. Comparison between rough set approximations based on different topologies. International Journal of Granular Computing Rough Sets and Intelligent Systems 2014, 3 (4): 292- 305.[3] Abd El-Monsef ME Kozae AM El-Bably MK. On generalizing covering approximation space. Journal of the Egyptian Mathematical Society 2015, 23: 535-545.[4] Amer WS Abbas MI El-Bably MK. On j -near concepts in rough sets with some applications. Journal of Intelligent and Fuzzy Systems 2017, 32: 1089-1099.[5] Atef M Khalil AM Li S Azzam A El-Atik AEF. Comparison of six types of rough approximations based on j -neighborhood space and j -adhesion neighborhood space. Journal of Inteligent and Fuzzy Systems 2020, 39 (3): 4515-4531.[6] Al-shami TM Fu WQ Abo-Tabl EA. New rough approximations based on E -neighbourhoods. Complexity 2021, 2021: 1-6.[7] Al-shami TM. An improvement of rough set’s accuracy measure using containment neighborhoods with a medical application. Information Sciences 2021, 569: 110-124.[8] Hosny M. Idealization of j -approximation spaces. Filomat 2020, 34 (2): 287- 301.[9] Hosny M. Topological approach for rough sets by using j -nearly concepts via ideals. Filomat 2020, 34 (2): 273-286.[10] Liu G Zhu W. The algebraic structures of generalized rough set theory. Information Sciences 2008, 178 (21): 4105-4113.[11] Lin TY. Granular computing on binary relations I: data mining and neighborhood systems II: rough set representations and belief functions. In: Polkowski L Skowron A (editors). Rough Sets in Knowledge Discovery 1. Physica-Verlag Heidelberg 1998 pp. 107-140.[12] Pawlak Z. Rough sets. International Journal of Computer and Information Sciences 1982, 11 (5): 341-356.[13] Pawlak Z. Rough sets: theoretical aspects of reasoning about data. Dordrecht The Netherlands: Kluwer Academic Publishers 1991.[14] Pawlak Z Skowron A. Rough sets: some extensions. Information Sciences 2007, 177: 28-40.[15] Yao YY. On generalizing Pawlak approximation operators. Lecture Notes in Artificial Intelligence 1998, 1424: 298-307.[16] Yao YY. Rough sets neighborhood systems and granular computing. In: 1999 IEEE Canadian Conference on Electrical and Computer Engineering Proceedings, Canada, 1999. pp. 1553-1558.
dc.identifier.doi 10.55730/1300-0098.3150
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.scopus 2-s2.0-85131422290
dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/10543
dc.identifier.uri https://doi.org/10.55730/1300-0098.3150
dc.identifier.uri https://search.trdizin.gov.tr/en/yayin/detay/535338
dc.language.iso İngilizce
dc.publisher Tubitak Scientific & Technological Research Council Turkey
dc.relation.ispartof Turkish Journal of Mathematics
dc.rights info:eu-repo/semantics/openAccess
dc.source Turkish Journal of Mathematics
dc.subject Matematik
dc.subject Ipj -Approximations
dc.subject Topological Spaces
dc.subject Ideals
dc.subject 3p(j)-approximations
dc.subject Rough Sets
dc.subject 3c(j)-approximations
dc.subject Icj -Approximations
dc.title Rough approximations based on different topologies via ideals
dc.type Article
dc.type Article
dspace.entity.type Publication
gdc.author.id 0000-0002-6811-9919
gdc.author.id 0000-0002-6582-4460
gdc.author.id Dalan Yıldırım, Esra/0000-0002-6553-771X
gdc.author.scopusid 35590986800
gdc.author.scopusid 6602108388
gdc.author.scopusid 10046033400
gdc.author.wosid Caksu Guler, Aysegul/AAQ-6745-2020
gdc.author.wosid Ozbakir, Oya/AAG-7328-2021
gdc.author.wosid Dalan Yıldırım, Esra/HOH-1949-2023
gdc.bip.impulseclass C4
gdc.bip.influenceclass C4
gdc.bip.popularityclass C4
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department
gdc.description.departmenttemp [Guler, Aysegul Caksu; Ozbakir, Oya Bedre] Ege Univ, Fac Sci, Dept Math, Izmir, Turkey; [Yildirim, Esra Dalan] Yasar Univ, Fac Sci & Letters, Dept Math, Izmir, Turkey
gdc.description.endpage 1192
gdc.description.issue 4
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
gdc.description.startpage 1177
gdc.description.volume 46
gdc.description.woscitationindex Science Citation Index Expanded
gdc.identifier.openalex W4285147238
gdc.identifier.trdizinid 535338
gdc.identifier.wos WOS:000768548200001
gdc.index.type TR-Dizin
gdc.index.type WoS
gdc.index.type Scopus
gdc.oaire.accesstype GOLD
gdc.oaire.diamondjournal false
gdc.oaire.impulse 22.0
gdc.oaire.influence 3.303748E-9
gdc.oaire.isgreen false
gdc.oaire.keywords Sets
gdc.oaire.keywords Fuzzy topology
gdc.oaire.keywords \(\mathcal{I}_{C_j}\)-approximations
gdc.oaire.keywords \(\mathcal{I}_{P_j}\)-approximations
gdc.oaire.keywords Topological spaces
gdc.oaire.keywords Reasoning under uncertainty in the context of artificial intelligence
gdc.oaire.keywords 3C(j)-approximations
gdc.oaire.keywords topological spaces
gdc.oaire.keywords ideals
gdc.oaire.keywords 3P(j)-approximations
gdc.oaire.keywords rough sets
gdc.oaire.popularity 1.807669E-8
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 01 natural sciences
gdc.oaire.sciencefields 0202 electrical engineering, electronic engineering, information engineering
gdc.oaire.sciencefields 0101 mathematics
gdc.openalex.fwci 3.7705
gdc.openalex.normalizedpercentile 0.94
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 21
gdc.plumx.crossrefcites 22
gdc.plumx.scopuscites 28
gdc.scopus.citedcount 28
gdc.virtual.author Dalan Yildirim, Esra
gdc.wos.citedcount 24
oaire.citation.endPage 1192
oaire.citation.startPage 1177
publicationissue.issueNumber 4
publicationvolume.volumeNumber 46
relation.isAuthorOfPublication 5bf24bb6-6d02-48e6-bea2-a4369db49f98
relation.isAuthorOfPublication.latestForDiscovery 5bf24bb6-6d02-48e6-bea2-a4369db49f98
relation.isOrgUnitOfPublication ac5ddece-c76d-476d-ab30-e4d3029dee37
relation.isOrgUnitOfPublication.latestForDiscovery ac5ddece-c76d-476d-ab30-e4d3029dee37

Files