Araştırma Makalesi
Yıl 2018,
Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 283 - 292, 24.10.2018
Öz
In this paper, we get soft structures what we call cyclicizer soft set, centralizer soft set, normalizer soft set, cosetial soft set, orbital soft set and stabilizer soft set using some group concepts such as cyclic, centralizer and normalizer of an element, coset and group action, in any given group. At the same time, we mentioned that they are a soft group. We discuss their soft set theoretic properties and give some theorems for groups. We proposed some necessary and sucient conditions for two groups to be isomorphic using the soft set theory. We give relation between similarity of soft sets and groups.
Anahtar Kelimeler
Soft set soft group group centralizer normalizer cyclic group
Kaynakça
- H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726 - 2735.
- H. Aktaş, Ş. Özlü, Cyclic soft groups and their applications on groups, The Scienti c World Journal Vol. 2014 (2014), Article ID 437324, 5 pages.
- M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547 - 1553.
- J. B. Fraleigh, A rst course in abstract algebra-4th Ed., Addison-Wesley Publishing Company (1989), pp. 518.
- K. Gong, Z. Xiao, X. Zhang, The bijective soft set with applications, Comput. Math. Appl. 60 (2010) 2270 - 2278.
- M. B. Kandemir, Monotonic soft sets and its applications, Ann. Fuzzy Math. Inform. 12 (2) (2016) 295 - 307.
- Y. K. Kim, W. K. Min, Full soft sets and full soft decision systems, Journal of Intelligent &Fuzzy Systems 26 (2014) 925 - 933.
- P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math.Appl. 45 (2003) 555 - 562.
- W. K. Min, Similarity in soft set theory, Appl. Math. Let. 25 (2012) 310 - 314.
- D. Molodtsov, Soft sets- rst results, Comput. Math. Appl. 37 (1999) 19 - 31.
- D. Patrick, E. Wepsic, Cyclicizers, centralizers and normalizers, RoseHulman Institute of Technology, Indiana, USA, Technical Reprot MS-TR 91-05, (1991).
- D. Pei, D. Miao, From soft sets to information systems, Proceedings of IEEE International Conference on Granular Computing 2 (2005) 617 - 621.
Yıl 2018,
Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 283 - 292, 24.10.2018
Öz
Kaynakça
- H. Aktaş, N. Çağman, Soft sets and soft groups, Inform. Sci. 177 (2007) 2726 - 2735.
- H. Aktaş, Ş. Özlü, Cyclic soft groups and their applications on groups, The Scienti c World Journal Vol. 2014 (2014), Article ID 437324, 5 pages.
- M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On some new operations in soft set theory, Comput. Math. Appl. 57 (2009) 1547 - 1553.
- J. B. Fraleigh, A rst course in abstract algebra-4th Ed., Addison-Wesley Publishing Company (1989), pp. 518.
- K. Gong, Z. Xiao, X. Zhang, The bijective soft set with applications, Comput. Math. Appl. 60 (2010) 2270 - 2278.
- M. B. Kandemir, Monotonic soft sets and its applications, Ann. Fuzzy Math. Inform. 12 (2) (2016) 295 - 307.
- Y. K. Kim, W. K. Min, Full soft sets and full soft decision systems, Journal of Intelligent &Fuzzy Systems 26 (2014) 925 - 933.
- P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Comput. Math.Appl. 45 (2003) 555 - 562.
- W. K. Min, Similarity in soft set theory, Appl. Math. Let. 25 (2012) 310 - 314.
- D. Molodtsov, Soft sets- rst results, Comput. Math. Appl. 37 (1999) 19 - 31.
- D. Patrick, E. Wepsic, Cyclicizers, centralizers and normalizers, RoseHulman Institute of Technology, Indiana, USA, Technical Reprot MS-TR 91-05, (1991).
- D. Pei, D. Miao, From soft sets to information systems, Proceedings of IEEE International Conference on Granular Computing 2 (2005) 617 - 621.
Toplam 12 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 24 Ekim 2018 |
| Gönderilme Tarihi | 14 Ekim 2018 |
| Kabul Tarihi | 24 Ekim 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 1 Sayı: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc. |
