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SOME NEW MIXED SOFT SETS

Year 2014, Volume: 2 Issue: 2, - 6, 01.12.2014

Abstract

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

References

  • 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

Year 2014, Volume: 2 Issue: 2, - 6, 01.12.2014

Abstract

References

  • 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
There are 16 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

AHU Açıkgöz This is me

NIHALTAS This is me

Publication Date December 1, 2014
Submission Date March 9, 2015
Published in Issue Year 2014 Volume: 2 Issue: 2

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