A NOTE ON SOFT NEAR RINGS AND IDEALISTIC SOFT NEAR RINGS
Yazarlar (3)
Amasya Üniversitesi, Türkiye
Prof. Dr. Akın Osman ATAGÜN
Bozok Üniversitesi, Türkiye
Erciyes Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
|
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Filomat |
| Dergi ISSN | 0354-5180 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q2 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2011 |
| Cilt No | 25 |
| Sayı | 1 |
| Sayfalar | 53 / 68 |
| DOI Numarası | 10.2298/FIL1101053S |
| Özet |
| Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled. In this paper, we apply the definitions proposed by Ali et al. [M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009), 1547-1553] to the concept of soft near-rings and substructures of soft near-rings, proposed by Atagun and Sezgin [A. O. Atagun and A. Sezgin, Soft Near-rings, submitted] and show them with illustrating examples. Moreover, we investigate the properties of idealistic soft near-rings with respect to the near-ring mappings and we show that the structure is preserved under the near-ring epimorphisms. Main purpose of this paper is to extend the study of soft near-rings from a theoretical aspect. |
| Anahtar Kelimeler |
| Extended intersection | Idealistic soft near-rings | Restricted intersection | Soft near-rings | Soft sets |
| Atıf Sayıları | |
| WoS | 58 |
| SCOPUS | 57 |
| Google Scholar | 119 |