TY  - JOUR
T1  - Kuratowski Theorems in Soft Topology
AU  - Soylu, Gültekin
AU  - Çerçi, Müge
PY  - 2020
DA  - June
Y2  - 2020
DO  - 10.37094/adyujsci.597721
JF  - Adıyaman University Journal of Science
JO  - ADYU J SCI
PB  - Adıyaman Üniversitesi
WT  - DergiPark
SN  - 2147-1630
SP  - 273
EP  - 284
VL  - 10
IS  - 1
LA  - en
AB  - 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.
KW  - Soft topology
KW  - Kuratowski closure operator
KW  - Kuratowski closure complement theorem
CR  - [1] Zadeh, L.A., Fuzzy sets, Information and Control, 8(3), 338–353, 1965.
CR  - [2] Gau, W.-L., Buehrer, D.J., Vague sets, IEEE Transactions on Systems, Man, and Cybernetics, 23(2), 610–614, 1993.
CR  - [3] Pawlak, Z., Rough sets, International Journal of Computer & Information Sciences, 11(5), 341–356, 1982.
CR  - [4] Molodtsov, D., Soft set theory-first results, Computers & Mathematics with Applications, 37(4-5), 19–31, 1999.
CR  - [5] Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Computers & Mathematics with Applications, 45(4-5), 555–562, 2003.
CR  - [6] Aktaş, H., Çağman, N., Soft sets and soft groups, Information Sciences, 177(13), 2726–2735, 2007.
CR  - [7] Shabir, M., Naz, M., On soft topological spaces, Computers & Mathematics with Applications, 61(7), 1786–1799, 2011.
CR  - [8] Çağman, N., Karataş, S., Enginoglu, S., Soft topology, Computers & Mathematics with Applications, 62(1), 351–358, 2011.
CR  - [9] Feng, F., Jun, Y:B., Zhao, X., Soft semirings, Computers & Mathematics with Applications, 56(10), 2621–2628, 2008.
CR  - [10] Hussain, S., Ahmad, B., Some properties of soft topological spaces, Computers & Mathematics with Applications, 62(11), 4058–4067, 2011.
CR  - [11] Strabel, G., The Kuratowski Closure-Complement Theorem, Accessed on 15.02.2019. www.mathtransit.com/2009 strabel.pdf, 2009.
UR  - https://doi.org/10.37094/adyujsci.597721
L1  - https://dergipark.org.tr/tr/download/article-file/1167453
ER  -