Soft Topolojideki Kuratowski Teoremleri

Bu çalışmada Kuratowski tarafından ortaya konan bazı topolojik kavramların Soft topolojideki karşılıkları ele alınmıştır. Öncelikle kapanış operatörü soft topolojide tanımlanmış ve incelemesi yapılmış daha sonra Kuratowski Kapanış-Tümleyen Teoremi ifade edilmiş ve kanıtlanmıştır. Anahtar Kelimeler: Soft topoloji; Kuratowski kapanış operatörü; Kuratowski KapanışTümleyen Teoremi.

Kuratowski Theorems in Soft Topology

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 proved. Keywords: Soft topology; Kuratowski closure operator; Kuratowski Closure-Complement Theorem.

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