Some Aspects of Soft μ-α-open sets and Soft μ-β-open sets in Soft Generalized Topological Spaces
Abstract
In this paper, we studied and analysed some of the properties of soft μ-α-open sets and soft μ-β-open sets in soft generalized topological spaces. Also we investigate the inter-relationship among several weaker forms of soft μ-open sets in soft generalized topological spaces.
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H. Aktas and N. Cagman, "Soft sets and soft groups," Inform. Sci., 177, (2007), pp. 2726-2735. [DOI: 10.1016/j.ins.2006.12.008]
C.G. Aras, A. Sonmez, H. Cakalli, "On soft mappings," arXiv:1305.4545 v1, 16 May 2013.
I. Arockiarani, A. A. Lancy, "Generalized soft gβ-closed sets and soft gsβ-closed sets in soft topological spaces," International Journal of Mathematical Archive, 4 (2), (2013), pp. 1-7.
Bashir Ahmad, Sabir Hussain, "On some structures of soft topology," J. of Math. Sciences, 64 (6), (2012), pp. 1-7.
N. Cagman, S. Enginoglu, "Soft matrix theory and its decision making," Comput. Math. Appl., 59 (10), (2010), pp. 3308-3314.
B. Chen, "Soft semi-open sets and related properties in soft topological spaces," Applied Mathematics & Information Sciences, 7 (1), (2013), pp. 287-294.
A. Csaszar, "Generalized Topology, generalized continuity," Acta Mathematica Hungarica, 96, (2002), pp. 351-357. [DOI: 10.1023/A:1019713018007]
Jyothis Thomas and Sunil Jacob John, "On Soft Generalized Topological Spaces," Journal of New Results in Science, 4, (2014), pp. 01-15.
Jyothis Thomas, Sunil Jacob John, "Soft π-Open Sets in Soft Generalized Topological Spaces," Journal of New Theory, 5, (2015), pp. 53-66.
J. Mahanta, P. K. Das, "On soft topological space via semiopen and semiclosed soft sets," arXiv:1203.4133, (2012).
P. K. Maji, R. Biswas, A. R. Roy, "Soft set theory," Computers Math. Appl., 45, (2003), pp. 555-562. [DOI: 10.1016/S0898-1221(03)00016-6]
Metin Akdag, Alkan Ozkan, "Soft α-Open Sets and Soft α-Continuous Functions," Abstract and Applied Analysis, Article ID 891341, (2014), pp. 1-7. [DOI: 10.1155/2014/891341]
D. Molodtsov, "Soft set theory-first results," Computers Math. Appl., 37, (1999), pp. 19-31. [DOI: 10.1016/S0898-1221(99)00056-5]
D. Molodstov, V. Y. Leonov and D. V. Kovkov, "Soft sets technique and its application," Nechetkie Sistemy i Myagkie Vychisleniya 1 (1), (2006), pp. 8-39.
M. Shabir and M. Naz, "On soft topological spaces," Computers Math. Appl., 61, (2011), pp. 1786-1799. [DOI: 10.1016/j.camwa.2011.02.006]
I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca, "Remark on Soft Topological Spaces," Annals of Fuzzy Mathematics and Informatics, 3 (2), (2011), pp. 171-185.
DOI: http://dx.doi.org/10.23755/rm.v51i0.1550
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