A note on Soft Topology

Volume: 5 Number: 11 August 25, 2016
Jyothis Thomas , Sunil Jacob John
EN

A note on Soft Topology

Abstract

Cagman et al. (2011) [3] introduced soft topology on a soft set and deflned soft topological space. They deflned the basic notions of soft topological spaces such as soft open sets, soft closed sets, soft interior, soft closure, soft basis, soft neighborhood, soft limit point, soft boundary, soft subspace and soft Hausdorfi space and explored several basic properties of these concepts. But we found that some basic results are not true in general. The main purpose of this note is, with the help of counter examples, to establish that some results do not hold

Keywords

Soft sets,soft topology,soft open sets,soft closed sets,soft closure,soft limit point

References

  1. K. V. Babitha, J. J. Sunil, Soft set relations and functions, Computers and Mathematics with Applications, 60, 1840-1849, 2010.
  2. N. Cagman, S. Enginoglu, Soft set theory and uni-int decision making, European Journal of Operational Research, 207, 848-855, 2010.
  3. N. Cagman, S. Karatas, S. Enginoglu, Soft topology, Computers and Mathematics with Applications, 62, 351-358, 2011.
  4. P. K. Maji, R. Biswas, A. R. Roy, Soft set theory, Computers and Mathematics with Applications, 45, 555-562, 2003.
  5. D. A. Molodtsov, soft set theory-flrst results, Computers and Mathematics with Applications, 37, 19-31, 1999.
APA
Thomas, J., & John, S. J. (2016). A note on Soft Topology. Journal of New Results in Science, 5(11), 24-29. https://izlik.org/JA67DJ94KA
AMA
1.Thomas J, John SJ. A note on Soft Topology. JNRS. 2016;5(11):24-29. https://izlik.org/JA67DJ94KA
Chicago
Thomas, Jyothis, and Sunil Jacob John. 2016. “A Note on Soft Topology”. Journal of New Results in Science 5 (11): 24-29. https://izlik.org/JA67DJ94KA.
EndNote
Thomas J, John SJ (October 1, 2016) A note on Soft Topology. Journal of New Results in Science 5 11 24–29.
IEEE
[1]J. Thomas and S. J. John, “A note on Soft Topology”, JNRS, vol. 5, no. 11, pp. 24–29, Oct. 2016, [Online]. Available: https://izlik.org/JA67DJ94KA
ISNAD
Thomas, Jyothis - John, Sunil Jacob. “A Note on Soft Topology”. Journal of New Results in Science 5/11 (October 1, 2016): 24-29. https://izlik.org/JA67DJ94KA.
JAMA
1.Thomas J, John SJ. A note on Soft Topology. JNRS. 2016;5:24–29.
MLA
Thomas, Jyothis, and Sunil Jacob John. “A Note on Soft Topology”. Journal of New Results in Science, vol. 5, no. 11, Oct. 2016, pp. 24-29, https://izlik.org/JA67DJ94KA.
Vancouver
1.Jyothis Thomas, Sunil Jacob John. A note on Soft Topology. JNRS [Internet]. 2016 Oct. 1;5(11):24-9. Available from: https://izlik.org/JA67DJ94KA