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Q-soft Translation of Q-soft Subgroups

Year 2020, Issue: 32, 21 - 29, 30.09.2020

Abstract

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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References

  • 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).
Year 2020, Issue: 32, 21 - 29, 30.09.2020

Abstract

References

  • 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).
There are 18 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Rasul Rasuli This is me 0000-0003-3755-5790

Publication Date September 30, 2020
Submission Date February 18, 2020
Published in Issue Year 2020 Issue: 32

Cite

APA Rasuli, R. (2020). Q-soft Translation of Q-soft Subgroups. Journal of New Theory(32), 21-29.
AMA Rasuli R. Q-soft Translation of Q-soft Subgroups. JNT. September 2020;(32):21-29.
Chicago Rasuli, Rasul. “Q-Soft Translation of Q-Soft Subgroups”. Journal of New Theory, no. 32 (September 2020): 21-29.
EndNote Rasuli R (September 1, 2020) Q-soft Translation of Q-soft Subgroups. Journal of New Theory 32 21–29.
IEEE R. Rasuli, “Q-soft Translation of Q-soft Subgroups”, JNT, no. 32, pp. 21–29, September 2020.
ISNAD Rasuli, Rasul. “Q-Soft Translation of Q-Soft Subgroups”. Journal of New Theory 32 (September 2020), 21-29.
JAMA Rasuli R. Q-soft Translation of Q-soft Subgroups. JNT. 2020;:21–29.
MLA Rasuli, Rasul. “Q-Soft Translation of Q-Soft Subgroups”. Journal of New Theory, no. 32, 2020, pp. 21-29.
Vancouver Rasuli R. Q-soft Translation of Q-soft Subgroups. JNT. 2020(32):21-9.


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