SOME NEW MIXED SOFT SETS
SOME NEW MIXED SOFT SETS
In this paper we introduce the concepts of (τ1, τ2) - R - closed,(τ1, τ2) - AR−, (τ- αN A−, (τ1, τ2) - αN A3−, (τ, τ2) - αN A4− and (τ1, τ2) - αN A5− softsets in the two soft topological spaces and show the relationships betweendefined new mixed soft sets.Also we investigate some properties of thesesoft sets. Moreover, we define the notions of mixed R -, mixed AR−, mixedαAN−, mixed αAN−, mixed αN A−, mixed αN A2−, mixed αN A−,mixed αN A− and mixed αN A5− soft continuity. Finally, we obtain decomposition of mixed AR- soft continuity, mixed α - soft continuity and τsoft continuity using two soft topological space
___
- Ali, M. I., Feng, F., Liu, X., Min, W. K., Shabir, M., On some new operations in soft set theory, Comput. Math. Appl. 57 (2009), 1547-1553.
- Atanassov, K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96.
- Gau, W. L., Buehrer, D. J., Vague sets, IEEE Trans. System Man Cybernet 23 (1993), no. 2, 610-614.
- Hussain, S., Ahmad, B., Some properties of soft topological space, Comput. Math. Appl. 62 (2011), 4058-4067.
- Maji, P. K., Biswas, R., Roy, A. R., Soft set theory, Comput. Math. Appl. 45 (2003), 555-562.
- Maji, P. K., Biswas, R., Roy, A. R., Fuzzy soft sets, The J. of F. Math. 9 (2001), 589-602.
- Maji, P. K., Biswas, R., Roy, A. R., Intuitionistic fuzzy soft sets, The J. of F. Math. 9 (2001), 677-6
- Molodtsov, D., Soft set theory - First results, Comput. Math. Appl. 37 (1999), 19-31.
- Pawlak, Z., Rough sets, Int. J. Comput. Sc. 11 (1982), 341-356.
- Shabir, M., Naz, M., On soft topological spaces, Comput. Math. Appl. 61 (2011), 1786-1799.
- Tas, N. A., Acikgoz, A., Some mixed soft operations and extremally soft disconnectedness via two soft topologies, Applied Mathematics 5 (2014), 490-500.
- Zadeh, L. A., Fuzzy sets, Infor. and Control 8 (1965), 338-353.
- Zorlutuna, I., Akdag, M., Min, W. K., Atmaca, S., Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics 3 (2012), 171-185.
- Department of Mathematics, Balikesir University, 10145 Balikesir, TURKEY.
- E-mail address: ahuacikgoz@gmail.com Department of Mathematics, Balikesir University, 10145 Balikesir, TURKEY.
- E-mail address: nihalarabacioglu@hotmail.com