Öz
In this study, we introduce the concept Q-soft translations of Q-soft subgroups. Next we investigate the properties of them and we prove that every Q-soft translation of Q-soft subgroup is also Q-soft subgroup. Finally, we consider them under homomorphism and anti-homomorphism of Q-soft subgroups and Q-soft normal subgroups.
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Anahtar Kelimeler
Q-soft subsets group theory Q-soft subgroups Q-soft normal subgroups Q-soft translation homomorphism
Kaynakça
- D. A. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics With Applications 37(4) (1999) 19-31.
- P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45(4-5) (2003) 555-562.
- M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On Some New Operations in Soft Set Theory, Computers and Mathematics with Applications 57(9) (2008) 2621-2628.
- N. Çağman, S. Enginoğlu, Soft Matrix Theory and Its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
- N. Çağman, Contributions to The Theory of Soft Sets, Journal of New Results in Science 4 (2014) 33-41.
- A. Sezgin, A. O. Atagün, On Operations of Soft Sets, Comp. Math. Appl., 61 (2011) 1457-1467.
- N. Çağman, S. Karataş, Intuitionistic Fuzzy Soft Set Theory and Its Decision Making, Journal of Intelligent and Fuzzy Systems 24(4) (2013) 829-836.
- N. Çağman, S. Enginoğlu, Soft Set Theory and uni-int Decision Making, European Journal of Operational Research 207 (2010) 848-855.
- F. Feng, Y. Li and N. Çağman, Generalized uni-int Decision Making Schemes Based on Choice Value Soft Sets, European Journal of Operational Research 220 (2012) 162-170.
- H. Aktaş, N. Çağman, Soft Sets and Soft Groups, Information Sciences 177(13) (2007) 2726-2735.
- A. O. Atagün, A. Sezgin, Soft Substructures of Rings, Fields and Modules, Computers and Mathematics with Applications 61(3) (2011) 592-601.
- N. Çağman, F. Çıtak, H. Aktaş, Soft int-group and Its Applications to Group Theory, Neural Computing and Applications 21 (2012) 151-158.
- F. Feng, Y. B. Jun, X. Zhao, Soft Semirings, Computers and Mathematics with Applications 56 (2008) 2621-2628.
- R. Rasuli, Soft Lie Ideals and Anti Soft Lie Ideals, The Journal of Fuzzy Mathematics Los Angeles 26(1) (2018) 193-202.
- R. Rasuli, Extension of Q-soft Ideals in Semigroups, International Journal of Open Problems in Computer Science and Mathematics 10(2) (2017) 6-13.
- F. Hassani, R. Rasuli, Q-soft Subgroups and Anti-Q-soft Subgroups in Universal Algebra, The Journal of Fuzzy Mathematics Los Angeles 26(1) (2018) 139-152.
- R. Rasuli, Q-Soft Normal Subgroups, Journal of New Theory (26) (2019) 13-22.
- T. Hungerford, Algebra, Graduate Texts in Mathematics. Springer (2003).
Öz
Kaynakça
- D. A. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics With Applications 37(4) (1999) 19-31.
- P. K. Maji, R. Biswas, A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications 45(4-5) (2003) 555-562.
- M. I. Ali, F. Feng, X. Y. Liu, W. K. Min, M. Shabir, On Some New Operations in Soft Set Theory, Computers and Mathematics with Applications 57(9) (2008) 2621-2628.
- N. Çağman, S. Enginoğlu, Soft Matrix Theory and Its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
- N. Çağman, Contributions to The Theory of Soft Sets, Journal of New Results in Science 4 (2014) 33-41.
- A. Sezgin, A. O. Atagün, On Operations of Soft Sets, Comp. Math. Appl., 61 (2011) 1457-1467.
- N. Çağman, S. Karataş, Intuitionistic Fuzzy Soft Set Theory and Its Decision Making, Journal of Intelligent and Fuzzy Systems 24(4) (2013) 829-836.
- N. Çağman, S. Enginoğlu, Soft Set Theory and uni-int Decision Making, European Journal of Operational Research 207 (2010) 848-855.
- F. Feng, Y. Li and N. Çağman, Generalized uni-int Decision Making Schemes Based on Choice Value Soft Sets, European Journal of Operational Research 220 (2012) 162-170.
- H. Aktaş, N. Çağman, Soft Sets and Soft Groups, Information Sciences 177(13) (2007) 2726-2735.
- A. O. Atagün, A. Sezgin, Soft Substructures of Rings, Fields and Modules, Computers and Mathematics with Applications 61(3) (2011) 592-601.
- N. Çağman, F. Çıtak, H. Aktaş, Soft int-group and Its Applications to Group Theory, Neural Computing and Applications 21 (2012) 151-158.
- F. Feng, Y. B. Jun, X. Zhao, Soft Semirings, Computers and Mathematics with Applications 56 (2008) 2621-2628.
- R. Rasuli, Soft Lie Ideals and Anti Soft Lie Ideals, The Journal of Fuzzy Mathematics Los Angeles 26(1) (2018) 193-202.
- R. Rasuli, Extension of Q-soft Ideals in Semigroups, International Journal of Open Problems in Computer Science and Mathematics 10(2) (2017) 6-13.
- F. Hassani, R. Rasuli, Q-soft Subgroups and Anti-Q-soft Subgroups in Universal Algebra, The Journal of Fuzzy Mathematics Los Angeles 26(1) (2018) 139-152.
- R. Rasuli, Q-Soft Normal Subgroups, Journal of New Theory (26) (2019) 13-22.
- T. Hungerford, Algebra, Graduate Texts in Mathematics. Springer (2003).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Eylül 2020 |
| Gönderilme Tarihi | 18 Şubat 2020 |
| Yayımlandığı Sayı | Yıl 2020 Sayı: 32 |
Kaynak Göster
- Makale Dosyaları