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Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces

Year 2018, Issue: 23, 48 - 62, 01.06.2018
https://izlik.org/JA65RR35GX

Abstract

In this article, we introduce binary soft pre-separation axioms in
binary soft topological space along with several properties of binary soft pre
 , i = 0; 1; 2, binary soft pre regular,
binary soft pre
, binary soft pre normal and
binary soft
 axiom using binary soft points. We also
mention some binary soft invariance properties namely binary soft topological
property and binary soft hereditary property. We hope that these results will
be useful for the future study on binary soft topology to carry out general
background for the practical applications and to solve the thorny problems
containing doubts in different grounds.

References

  • [1] A. Acikgöz, N. Tas, Binary Soft Set Theory, Eur. J. of Pure. And Appl. Math., Vol. 9, No. 4, 2016, 452- 463.
  • [2] S. S. Benchalli, G. Patil, On Binary Soft Separation Axioms in Binary Soft Topological Spaces, Global journal and Applied Mathematics,Vol 13,No.9,2017,5393-5412.
  • [3] D. Molodtsov, Soft Set Theory First Results. Comput. Math. Appl., 37, 1999, 9 - 31.
  • [4] D.Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and itsApplication, Nechetkie Sistemy i Myagkie Vychisleniya 1 (1), 2006, 8-39.
  • [5] M. Shabir, M. Naz, On Some New Operations in Soft Set Theory, Computers and Math. With Appl., 57, 2011, 1786-1799.
  • [6] S. S. Benchalli, G. Patil, A. S. Dodamani and J. P. Kumar, On Binary Soft Topological Spaces, International Journal of Applied Mathematics 30 (6) (2017), 437-453.
  • [7] A. Kalaichelvi and P.H. Malini, Application of Fuzzy Soft Sets to Investment Decision Making Problem, International Journal of Mathematical Sciences and Applications 1 (3) (2011) 1583-1586.
  • [8] N. Y. Özgür and N. Taş, A Note on “Application of Fuzzy Soft Sets to Investment Decision Making Problem”, Journal of New Theory 7 (2015) 1-10.
  • [9] N. Taş, N. Y. Özgür and P. Demir, An Application of Soft Set and Fuzzy Soft Set Theories to Stock Management, Süleyman Demirel University Journal of Natural and Applied Sciences 21 (2) (2017), 791-196.
  • [10] J. C. R. Alcantud, S. C. Rambaud and M. J. M. Torrecillas, Valuation Fuzzy Soft Sets: A Flexible Fuzzy Soft Set Based Decision Making Procedure for the Valuation of Assets, Symmetry 2017, 9(11), 253; doi:10.3390/sym9110253
  • [11] N. Çağman, S. Enginoğlu, Soft Matrix Theory and its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.

Year 2018, Issue: 23, 48 - 62, 01.06.2018
https://izlik.org/JA65RR35GX

Abstract

References

  • [1] A. Acikgöz, N. Tas, Binary Soft Set Theory, Eur. J. of Pure. And Appl. Math., Vol. 9, No. 4, 2016, 452- 463.
  • [2] S. S. Benchalli, G. Patil, On Binary Soft Separation Axioms in Binary Soft Topological Spaces, Global journal and Applied Mathematics,Vol 13,No.9,2017,5393-5412.
  • [3] D. Molodtsov, Soft Set Theory First Results. Comput. Math. Appl., 37, 1999, 9 - 31.
  • [4] D.Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and itsApplication, Nechetkie Sistemy i Myagkie Vychisleniya 1 (1), 2006, 8-39.
  • [5] M. Shabir, M. Naz, On Some New Operations in Soft Set Theory, Computers and Math. With Appl., 57, 2011, 1786-1799.
  • [6] S. S. Benchalli, G. Patil, A. S. Dodamani and J. P. Kumar, On Binary Soft Topological Spaces, International Journal of Applied Mathematics 30 (6) (2017), 437-453.
  • [7] A. Kalaichelvi and P.H. Malini, Application of Fuzzy Soft Sets to Investment Decision Making Problem, International Journal of Mathematical Sciences and Applications 1 (3) (2011) 1583-1586.
  • [8] N. Y. Özgür and N. Taş, A Note on “Application of Fuzzy Soft Sets to Investment Decision Making Problem”, Journal of New Theory 7 (2015) 1-10.
  • [9] N. Taş, N. Y. Özgür and P. Demir, An Application of Soft Set and Fuzzy Soft Set Theories to Stock Management, Süleyman Demirel University Journal of Natural and Applied Sciences 21 (2) (2017), 791-196.
  • [10] J. C. R. Alcantud, S. C. Rambaud and M. J. M. Torrecillas, Valuation Fuzzy Soft Sets: A Flexible Fuzzy Soft Set Based Decision Making Procedure for the Valuation of Assets, Symmetry 2017, 9(11), 253; doi:10.3390/sym9110253
  • [11] N. Çağman, S. Enginoğlu, Soft Matrix Theory and its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Arif Mehmood Khattak

Zia Ullah This is me

Fazli Amin This is me

Saleem Abdullah This is me

Shamoona Jabeen This is me

Nasir Ahmad Khattak This is me

Zaheer Anjum Khattak This is me

Submission Date February 23, 2018
Publication Date June 1, 2018
IZ https://izlik.org/JA65RR35GX
Published in Issue Year 2018 Issue: 23

Cite

APA Khattak, A. M., Ullah, Z., Amin, F., Abdullah, S., Jabeen, S., Khattak, N. A., & Khattak, Z. A. (2018). Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. Journal of New Theory, 23, 48-62. https://izlik.org/JA65RR35GX
AMA 1.Khattak AM, Ullah Z, Amin F, et al. Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. JNT. 2018;(23):48-62. https://izlik.org/JA65RR35GX
Chicago Khattak, Arif Mehmood, Zia Ullah, Fazli Amin, et al. 2018. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory, nos. 23: 48-62. https://izlik.org/JA65RR35GX.
EndNote Khattak AM, Ullah Z, Amin F, Abdullah S, Jabeen S, Khattak NA, Khattak ZA (June 1, 2018) Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. Journal of New Theory 23 48–62.
IEEE [1]A. M. Khattak et al., “Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces”, JNT, no. 23, pp. 48–62, June 2018, [Online]. Available: https://izlik.org/JA65RR35GX
ISNAD Khattak, Arif Mehmood - Ullah, Zia - Amin, Fazli - Abdullah, Saleem - Jabeen, Shamoona - Khattak, Nasir Ahmad - Khattak, Zaheer Anjum. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory. 23 (June 1, 2018): 48-62. https://izlik.org/JA65RR35GX.
JAMA 1.Khattak AM, Ullah Z, Amin F, Abdullah S, Jabeen S, Khattak NA, Khattak ZA. Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. JNT. 2018;:48–62.
MLA Khattak, Arif Mehmood, et al. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory, no. 23, June 2018, pp. 48-62, https://izlik.org/JA65RR35GX.
Vancouver 1.Arif Mehmood Khattak, Zia Ullah, Fazli Amin, Saleem Abdullah, Shamoona Jabeen, Nasir Ahmad Khattak, Zaheer Anjum Khattak. Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. JNT [Internet]. 2018 Jun. 1;(23):48-62. Available from: https://izlik.org/JA65RR35GX


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