α-inclusions Applied to Group Theory via Soft Set and Logic
Yazarlar (3)
Prof. Dr. Aslıhan Sezgin Sezer Amasya Üniversitesi, Türkiye
Prof. Dr. Naim ÇAĞMAN Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Doç. Dr. Filiz ÇITAK Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
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| Dergi Adı | COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | ||
| Dergi ISSN | 1303-5991 Wos Dergi | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2019 |
| Cilt / Sayı / Sayfa | 68 / 1 / 334–352 | DOI | 10.31801/cfsuasmas.420457 |
| Makale Linki | https://dergipark.org.tr/en/download/article-file/467069 | ||
| UAK Araştırma Alanları |
Matematiğin Temelleri ve Matematiksel Mantık
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| Özet |
| Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty. In this paper, upper and lower α-inclusions of a soft set are defined. By using these new notions, some analyzes with respect to group theory are made and it is shown that some of the subgroups of a group can be obtained easily with the help of these notions. It is also illustrated that a soft int-group and a soft uni-group can be obtained by its upper α-subgroups and lower α-subgroups, respectively. Furthermore, soft int-group by its family of upper α-subgroups is characterized under a certain equivalence relation. Finally, a new method used to construct a soft int-group with the help of its upper α-subgroups are introduced and an application of this method is given. |
| Anahtar Kelimeler |
| Soft sets | soft int-groups | soft uni-groups | alpha-inclusions | alpha-subgroup |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 14 |
| Google Scholar | 57 |