Süleyman ŞENYURT, Osman Çakir

Soft Separation Axioms First Results

In this paper, we study soft separation axioms in first sections and then we give the definition ofComplemental Soft Topological Spaces. Here, some new theorems and their proofs are given. Further the followingrelation S T0 ⇐⇒ S T1 ⇐⇒ S T2 ⇐⇒ S T3 ⇐⇒ S T4 is written as a natural result of the given theorems.

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[1] Aktaş, H., C¸ ağman, N., Soft Sets and Soft Groups, Information Sciences, 177(2007), 2726–2735.
[2] Aygünoğlu, A., Aygün, H. Some notes on soft topological spaces Neural Comput & Applic, (1)21(2012), 113–119.
[3] Çağman, N., Contributions to the theory of soft sets, Journal of New Results in Science, 4(2014), 33–41.
[4] Çağman, N., C¸ ıtak, F. and Enginoğlu, S., Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems, (1)1(2010), 21–35.
[5] Çağman, N., Karatas¸, S., Enginoğlu, S., Soft Topology, Computers and Mathematics with Applications, 62(2011), 351–358. 3, 3
[6] Göçür, O., Kopuzlu, A., Some new properties on soft separation axioms, Annals of Fuzzy Mathematics and Informatics, (3)9(2015), 421–429.
[7] Göçür, O., Kopuzlu, A., On soft separation axioms, Annals of Fuzzy Mathematics and Informatics, (5)9(2015), 817–822.
[8] Hazra, H., Majumdar, P., Samanta, SK.,Soft topology, Fuzzy Information and Engineering, (1)4(2012), 105–115.
[9] Hussain, S., Ahmad, B.,Some properties of soft topological spaces, Computers and Mathematics with Applications, 62(2011), 4058–4067.
[10] Hussain, S., Ahmad, B., Soft separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics, (3)44(2015), 565–574.
[11] Maji, P.K., Roy, A.R., Biswas, R., An application of soft sets in a decision making problem Computers and Mathematics with Applications, 44(2002), 1077–1083.
[12] Min, W.K.,A note on soft topological spaces, Computers and Mathematics with Applications, 62(2011), 3524–3528.
[13] Molodtsov, D., Soft set theory first results, Computers and Mathematics with Applications, 37(1999), 19–31.
[14] Roy, A.R., Maji, P.K., A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics, (1)203(2007), 412–418.
[15] Shabir, M., Naz, M., On soft topological spaces, Computers and Mathematics with Applications, 61(2011), 1786–1799.
[16] Tanay, B., Kandemir, M.B., Topological structure of fuzzy soft sets, Computers and Mathematics with Applications,61(2011), 2952–2957.
[17] Yang, X., Yu, D., Yang, J., Wu, C., Generalization of soft set theory from crisp to fuzzy case in fuzzy information and engineering, Proceedings of ICFIE. Advances in Soft Computing, 40(2007), 345–355.
[18] Zadeh, L.A., Fuzzy sets, Information and Control, 8(1965), 338–353.
[19] Zorlutuna, I., Akdag, M., Min, W.K., Atmaca, S.,Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, (2)3(2012), 171–185.