Yazarlar |
Aslıhan Sezgin Sezer
Amasya Üniversitesi, Türkiye |
Prof. Dr. Akın Osman ATAGÜN
Bozok Üniversitesi, Türkiye |
Naim Çağman
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 |
Soft set, Union soft subnear-ring, Union soft ideal, Union soft N-subgroup, Union soft N-ideal, Soft anti-image, alpha-inclusion |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | Neural Computing and Applications |
Dergi ISSN | 0941-0643 |
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 | 23 |
Google Scholar | 61 |