Yazarlar (3) |
![]() Amasya Üniversitesi, Türkiye |
![]() Bozok Üniversitesi, Türkiye |
![]() Gaziosmanpaşa Üniversitesi, Türkiye |
Özet |
In this paper, we introduce union soft subnear-rings and union soft ideals of a near-ring and union soft N-subgroups and union soft N-ideals of an N-group by using Molodtsov's definition of soft sets and investigate their related properties with respect to soft set operations, soft anti-image and lower alpha-inclusion of soft sets. Since these notions show how a soft set affects on substructures of near-rings and N-groups in the mean of union and inclusion of sets, they can be regarded as a bridge among classical sets, soft sets and near-rings. We then obtain significant relation between soft substructures of near-rings and union soft substructures of near-rings, soft substructures of N-groups and union soft substructures of N-groups. |
Anahtar Kelimeler |
α-inclusion | Soft anti-image | Soft set | Union soft ideal | Union soft N-ideal | Union soft N-subgroup | Union soft subnear-ring |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | NEURAL COMPUTING & APPLICATIONS |
Dergi ISSN | 0941-0643 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 08-2012 |
Cilt No | 21 |
Sayfalar | 133 / 143 |
Doi Numarası | 10.1007/s00521-011-0732-1 |
Makale Linki | http://link.springer.com/10.1007/s00521-011-0732-1 |
Atıf Sayıları | |
WoS | 23 |
SCOPUS | 24 |
Google Scholar | 59 |