Research Article

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

Number: 23 June 1, 2018
  • Arif Mehmood Khattak
  • Zia Ullah
  • Fazli Amin
  • Saleem Abdullah
  • Shamoona Jabeen
  • Nasir Ahmad Khattak
  • Zaheer Anjum Khattak
EN

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

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.

Keywords

References

  1. [1] A. Acikgöz, N. Tas, Binary Soft Set Theory, Eur. J. of Pure. And Appl. Math., Vol. 9, No. 4, 2016, 452- 463.
  2. [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. [3] D. Molodtsov, Soft Set Theory First Results. Comput. Math. Appl., 37, 1999, 9 - 31.
  4. [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. [5] M. Shabir, M. Naz, On Some New Operations in Soft Set Theory, Computers and Math. With Appl., 57, 2011, 1786-1799.
  6. [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. [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. [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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

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

Publication Date

June 1, 2018

Submission Date

February 23, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 23

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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