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Year 2020, Volume: 10 Issue: 1, 273 - 284, 25.06.2020
https://doi.org/10.37094/adyujsci.597721

Abstract

References

  • [1] Zadeh, L.A., Fuzzy sets, Information and Control, 8(3), 338–353, 1965.
  • [2] Gau, W.-L., Buehrer, D.J., Vague sets, IEEE Transactions on Systems, Man, and Cybernetics, 23(2), 610–614, 1993.
  • [3] Pawlak, Z., Rough sets, International Journal of Computer & Information Sciences, 11(5), 341–356, 1982.
  • [4] Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(4-5), 19–31, 1999.
  • [5] Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Computers & Mathematics with Applications, 45(4-5), 555–562, 2003.
  • [6] Aktaş, H., Çağman, N., Soft sets and soft groups, Information Sciences, 177(13), 2726–2735, 2007.
  • [7] Shabir, M., Naz, M., On soft topological spaces, Computers & Mathematics with Applications, 61(7), 1786–1799, 2011.
  • [8] Çağman, N., Karataş, S., Enginoglu, S., Soft topology, Computers & Mathematics with Applications, 62(1), 351–358, 2011.
  • [9] Feng, F., Jun, Y:B., Zhao, X., Soft semirings, Computers & Mathematics with Applications, 56(10), 2621–2628, 2008.
  • [10] Hussain, S., Ahmad, B., Some properties of soft topological spaces, Computers & Mathematics with Applications, 62(11), 4058–4067, 2011.
  • [11] Strabel, G., The Kuratowski Closure-Complement Theorem, Accessed on 15.02.2019. www.mathtransit.com/2009 strabel.pdf, 2009.

Kuratowski Theorems in Soft Topology

Year 2020, Volume: 10 Issue: 1, 273 - 284, 25.06.2020
https://doi.org/10.37094/adyujsci.597721

Abstract

This paper deals with the soft topological counterparts of concepts introduced by Kuratowski. First the closure operator is investigated in the soft topological setting and afterwards the Kuratowski Closure-Complement Theorem is stated and proven.

References

  • [1] Zadeh, L.A., Fuzzy sets, Information and Control, 8(3), 338–353, 1965.
  • [2] Gau, W.-L., Buehrer, D.J., Vague sets, IEEE Transactions on Systems, Man, and Cybernetics, 23(2), 610–614, 1993.
  • [3] Pawlak, Z., Rough sets, International Journal of Computer & Information Sciences, 11(5), 341–356, 1982.
  • [4] Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(4-5), 19–31, 1999.
  • [5] Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Computers & Mathematics with Applications, 45(4-5), 555–562, 2003.
  • [6] Aktaş, H., Çağman, N., Soft sets and soft groups, Information Sciences, 177(13), 2726–2735, 2007.
  • [7] Shabir, M., Naz, M., On soft topological spaces, Computers & Mathematics with Applications, 61(7), 1786–1799, 2011.
  • [8] Çağman, N., Karataş, S., Enginoglu, S., Soft topology, Computers & Mathematics with Applications, 62(1), 351–358, 2011.
  • [9] Feng, F., Jun, Y:B., Zhao, X., Soft semirings, Computers & Mathematics with Applications, 56(10), 2621–2628, 2008.
  • [10] Hussain, S., Ahmad, B., Some properties of soft topological spaces, Computers & Mathematics with Applications, 62(11), 4058–4067, 2011.
  • [11] Strabel, G., The Kuratowski Closure-Complement Theorem, Accessed on 15.02.2019. www.mathtransit.com/2009 strabel.pdf, 2009.
There are 11 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

Gültekin Soylu 0000-0003-2640-5690

Müge Çerçi This is me 0000-0001-9018-463X

Publication Date June 25, 2020
Submission Date July 28, 2019
Acceptance Date April 3, 2020
Published in Issue Year 2020 Volume: 10 Issue: 1

Cite

APA Soylu, G., & Çerçi, M. (2020). Kuratowski Theorems in Soft Topology. Adıyaman University Journal of Science, 10(1), 273-284. https://doi.org/10.37094/adyujsci.597721
AMA Soylu G, Çerçi M. Kuratowski Theorems in Soft Topology. ADYU J SCI. June 2020;10(1):273-284. doi:10.37094/adyujsci.597721
Chicago Soylu, Gültekin, and Müge Çerçi. “Kuratowski Theorems in Soft Topology”. Adıyaman University Journal of Science 10, no. 1 (June 2020): 273-84. https://doi.org/10.37094/adyujsci.597721.
EndNote Soylu G, Çerçi M (June 1, 2020) Kuratowski Theorems in Soft Topology. Adıyaman University Journal of Science 10 1 273–284.
IEEE G. Soylu and M. Çerçi, “Kuratowski Theorems in Soft Topology”, ADYU J SCI, vol. 10, no. 1, pp. 273–284, 2020, doi: 10.37094/adyujsci.597721.
ISNAD Soylu, Gültekin - Çerçi, Müge. “Kuratowski Theorems in Soft Topology”. Adıyaman University Journal of Science 10/1 (June 2020), 273-284. https://doi.org/10.37094/adyujsci.597721.
JAMA Soylu G, Çerçi M. Kuratowski Theorems in Soft Topology. ADYU J SCI. 2020;10:273–284.
MLA Soylu, Gültekin and Müge Çerçi. “Kuratowski Theorems in Soft Topology”. Adıyaman University Journal of Science, vol. 10, no. 1, 2020, pp. 273-84, doi:10.37094/adyujsci.597721.
Vancouver Soylu G, Çerçi M. Kuratowski Theorems in Soft Topology. ADYU J SCI. 2020;10(1):273-84.

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