Soft Pair-Wise Continuity in Soft Bitopological Spaces

The purpose of this paper is to introduce the concept of soft pair-wise neighborhood system in soft bitopological spaces. The notions of soft pair-wise contunity, soft pair-wise open (closed) mappings and soft pair-wise homeomorphism on soft bitopological space are introduced and their basic properties are investigated

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[1] Aygunoğlu, A.; Aygun, H. Some notes on soft topological spaces,. Neural Computing & Applications. 2011; 1007/s00521-011-0722-3.
[2] Babitha, K.V.; Sunil, J.J. Soft set relations and functions Computers & Mathematics with Applications. 2010; 60:1840-1849.
[3] Bayramov, S.; Gunduz C. Soft locally compact spaces and soft paracompact spaces, Journal of Mathematics and System Science. 2013; 3, 122-130.
[4] Çağman, N.; Karatas, S.; Enginoğlu, S. Soft topology, Computers & Mathematics with Applications. 2011; 351- 358.
[5] El-Sheikh, S.A.; Abd El-latif, A,M. Decompositions of some types of supra soft sets and soft continuity, International Journal of Mathematics Trends and Technology. 2014; 9(1), 37-56.
[6] Gunduz, A.C.; Sonmez, A.; Çakall, H. On soft Mappings, Proceedings of the 13th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE) (2013).
[7] Hussain, S.; Ahmad B. Some properties of soft topological spaces. Computers & Mathematics with Applications. 2011; 62, 4058-4067.
[8] Ittanagi, B.M. Soft bitopological spaces, International Journal of Computer Applications. 2014; 107(7), 1-4.
[9] Kandil, A.; Tantawy, O.A.E.; El-Sheikh S. A.; Hazza S. A. Pairwise open (closed) soft sets in soft bitopological spaces, Annals of Fuzzy Math. and Infor 2016; 11(4), 571-588.
[10] Kelly, J.C. Bitopological spaces, Proc. London Math. Soc. 1963; (3)13, 71-89.
[11] Maji, P.K.; Roy, A.R. An Application of Soft Sets in a Decision Making Problem. Computers & Mathematics with Applications. 2002; 44, 1077-1083.
[12] Maji, P.K.; Bismas, R.; Roy, A.R. Soft Set Theory, Computers & Mathematics with Applications. 2003; 45, 555-562.
[13] Mashhour, A.S.; Allam, A.A.; Mahmoud, F.S.; Khedr, F.H. On supratopological spaces, Indian J. pure appl. Math., 1983; 14(4), 502-510.
[14] Min, W.K. A note on soft topological spaces, Computers & Mathematics with Applications. 2011; 62, 3524-3528.
[15] Molodtsov, D. Soft Set Theory-First Results, Computers & Mathematics with Applications. 1999; 37, 19- 31.
[16] Nazmul, S.K.; Samanta, S.K. Neighbourhood properties of soft topological spaces, Annals of Fuzzy Mathematics and Informatics. 2013; 6 (1), 1-15.
[17] Ozturk, T.Y.; Bayramov, S. Soft mapping spaces, The Scientific World Journal 2014; Article ID 307292, 8p.
[18] Senel, G.; Cagman, N. Soft closed sets on soft bitopological spaces, Journal of New Theory 2014; 5, 57-66.
[19] Shabir, M.; Naz, M. On soft topological spaces, Computers & Mathematics with Applications. 2011; 61, 1786-1799.
[20] Shabir, M.; Bashir, A. Some properties of soft topological spaces. Computers & Mathematics with Applications. 2011; 62, 4058-4067.
[21] Zorlutuna, I ̇.; Akdağ, M.; Min, W.K.; Atmaca, S. Remarks on soft topological spaces. Annals of Fuzzy Mathematics and Informatics. 2012; 3, 171-185.