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

Araştırma Makalesi

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

Yıl 2018, Sayı: 23, 48 - 62, 01.06.2018

Arif Mehmood Khattak , Zia Ullah Fazli Amin Saleem Abdullah Shamoona Jabeen Nasir Ahmad Khattak Zaheer Anjum Khattak

Öz

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.

Anahtar Kelimeler

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

Kaynakça

[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.

Yıl 2018, Sayı: 23, 48 - 62, 01.06.2018

Arif Mehmood Khattak , Zia Ullah Fazli Amin Saleem Abdullah Shamoona Jabeen Nasir Ahmad Khattak Zaheer Anjum Khattak

Öz

Kaynakça

[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.

Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Araştırma Makalesi
Yazarlar	Arif Mehmood Khattak Zia Ullah Fazli Amin Saleem Abdullah Shamoona Jabeen Nasir Ahmad Khattak Zaheer Anjum Khattak
Yayımlanma Tarihi	1 Haziran 2018
Gönderilme Tarihi	23 Şubat 2018
Yayımlandığı Sayı	Yıl 2018 Sayı: 23

Kaynak Göster

APA	Khattak, A. M., Ullah, Z., Amin, F., Abdullah, S., vd. (2018). Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. Journal of New Theory(23), 48-62.
AMA	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. Haziran 2018;(23):48-62.
Chicago	Khattak, Arif Mehmood, Zia Ullah, Fazli Amin, Saleem Abdullah, Shamoona Jabeen, Nasir Ahmad Khattak, ve Zaheer Anjum Khattak. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory, sy. 23 (Haziran 2018): 48-62.
EndNote	Khattak AM, Ullah Z, Amin F, Abdullah S, Jabeen S, Khattak NA, Khattak ZA (01 Haziran 2018) Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces. Journal of New Theory 23 48–62.
IEEE	A. M. Khattak, Z. Ullah, F. Amin, S. Abdullah, S. Jabeen, N. A. Khattak, ve Z. A. Khattak, “Soft Sub Spaces and Soft b-Separation Axioms in Binary Soft Topological Spaces”, JNT, sy. 23, ss. 48–62, Haziran 2018.
ISNAD	Khattak, Arif Mehmood vd. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory 23 (Haziran 2018), 48-62.
JAMA	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 vd. “Soft Sub Spaces and Soft B-Separation Axioms in Binary Soft Topological Spaces”. Journal of New Theory, sy. 23, 2018, ss. 48-62.
Vancouver	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(23):48-62.