Year 2019,
Issue: 26, 64 - 72, 01.01.2019
Arif Mehmood Khattak
,
Zia Ullah Haq
Muhammad Zamir Burqi
Saleem Abdullah
References
- [1] A. Acıkgöz, N. Taş, Binary Soft Set Theory, Eur. J. of Pure and Appl. Math. 9/4 (2016)
452- 463.
[2] S.S. Benchalli. G.Patil et al, On Binary Soft Separation Axioms in Binary Soft Topological Spaces, Global journal and Applied Mathematics 13/9 (2017) 5393-5412.
- [3] D. Molodtsov, Soft Set Theory First Results. Comput. Math. Appl. 37 (1999) 19-31.
- [4] D. Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and its Application, Nechetkie Sistemy 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, Int. Journal of Applied Mathematics 30/6 (2017) 437-453.
- [7] Dr. 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 9/11 (2017) 253; doi:10.3390/sym 9110253.
- [11] N. Çağman, S. Enginoğlu, Soft Matrix Theory and its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.
Weak Soft Binary Structures
Year 2019,
Issue: 26, 64 - 72, 01.01.2019
Arif Mehmood Khattak
,
Zia Ullah Haq
Muhammad Zamir Burqi
Saleem Abdullah
Abstract
The main aim of this paper is to introduce a
single structure which carries the subsets of X as well as the subsets of Y
under the parameter
for studying the information about the ordered
pair of soft subsets of X and Y. Such a structure is called a binary soft structure
from X to Y. The purpose of this paper is to introduce certain binary soft weak
axioms that are analogous to the axioms of topology.
References
- [1] A. Acıkgöz, N. Taş, Binary Soft Set Theory, Eur. J. of Pure and Appl. Math. 9/4 (2016)
452- 463.
[2] S.S. Benchalli. G.Patil et al, On Binary Soft Separation Axioms in Binary Soft Topological Spaces, Global journal and Applied Mathematics 13/9 (2017) 5393-5412.
- [3] D. Molodtsov, Soft Set Theory First Results. Comput. Math. Appl. 37 (1999) 19-31.
- [4] D. Molodtsov, V. Y. Leonov and D. V. Kovkov, Soft sets technique and its Application, Nechetkie Sistemy 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, Int. Journal of Applied Mathematics 30/6 (2017) 437-453.
- [7] Dr. 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 9/11 (2017) 253; doi:10.3390/sym 9110253.
- [11] N. Çağman, S. Enginoğlu, Soft Matrix Theory and its Decision Making, Computers and Mathematics with Applications 59 (2010) 3308-3314.