Kuratowski Theorems in Soft Topology

Yıl 2020, Cilt: 10 Sayı: 1, 273 - 284, 25.06.2020

Gültekin Soylu , Müge Çerçi

https://doi.org/10.37094/adyujsci.597721

Öz

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.

Anahtar Kelimeler

Soft topology, Kuratowski closure operator, Kuratowski closure complement theorem

Kaynakça

• [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.