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

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

Binary soft topology,binary soft pre-open sets,binary soft pre closed sets,binary soft pre separation axioms

References

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[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.
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[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

Details

Primary Language

English

Subjects

-

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

Publication Date

June 1, 2018

Submission Date

February 23, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 23

IZ

https://izlik.org/JA65RR35GX

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