Soft Multi Generalized Closed Sets in Soft Multi Topological Spaces

R. Gowri; G. Sahithyabharathi

doi:https://doi.org/10.14445/22315373/IJMTT-V50P533

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 4 | Year 2017 | Article Id. IJMTT-V50P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P533

Soft Multi Generalized Closed Sets in Soft Multi Topological Spaces

R. Gowri, G. Sahithyabharathi

Citation :

R. Gowri, G. Sahithyabharathi, "Soft Multi Generalized Closed Sets in Soft Multi Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 4, pp. 201-209, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P533

Abstract

Many researchers defined some basic notions on soft multi topological spaces and studied many properties. In this paper, we define soft multi generalized closed and open sets in soft multi topological spaces and studied their some properties. We introduce these concepts which are defined over an initial universe with a fixed set of parameters. We investigate behaviour relative to union, intersection and soft multi subspaces of soft multi generalized closed sets. Also, we investigate many basic properties of these concepts.

Keywords

soft sets, soft multi sets, soft multi topological spaces, soft multi open sets, soft multi closed sets, Soft multi regular space, soft multi normal space.

References

[1] S.Alkhazaleh, A.R.Salleh and N.Hassan, Soft Multisets Theory, Applied Mathematical Sciences 5 (2011) 3561-3573.
[2] Anjan Mukherjee, Ajoy Kanti Das and Abhijit Saha, Topological Structure formed by Soft Multi Sets and Soft Multi Compact Space, Annals of Fuzzy Mathematics and Informatics, Vol.10, (2013) 2093-9310.
[3] N.Cagman, S.Karatas and S.Enginoglu, Soft Topology, Comput. Math.Appl, 62(2011),351-358.
[4] D.N.Georgiou and A.C.Mergaritis, Soft Set Theory and Topology, Appl. Gen. Topol. 14 (2013).
[5] D.N.Georgiou, A.C.Mergaritis and V.I.Petropoulos, On Soft Topological Spaces, Appl. Math. Imf.Sci, 5(2013) 1889-1901.
[6] R.Gowri and G.Sahithyabharathi, Characterization of Higher Separation axioms in Soft Multi topological Spaces, International Journal of Multidisciplinary Educational Research (IJMER), Vol.6, Issue 7(7), (2017), 68-76.
[7] R.Gowri and G.Sahithyabharathi, Separation axioms in Soft Multi Topological Spaces, International Journal of Engineering Science Advanced Computing and Bio-Technology (IJESACBT) vol.8 (2017), 176-184.
[8] P.K.Maji, A.R.Roy, R.Biswas, An Application of Soft sets in a decision making problem, Computers and Mathematics with Applications, 44 (8-9) (2002), 1077- 1083.
[9] D.Molodtsov, Soft Set Theory First Results. Comp.and Math.with App., Vol.37, (1999),19-31.
[10] R.Roy, P.K.Maji, A Fuzzy Soft set theoretic approach To decision making problems, Journal of computational and Applied Mathematics, 203 (2) (2007), 412- 418.
[11] Saziye Yuksel, Naime Tozlu, Zehra Guzel Ergul, On Soft Generalized Closed sets in Soft Topological Spaces, Journal of Theoretical and Applied Information Technology, Vol.55 (2013), 273-279.
[12] M.Shabir, M.Naz, On Soft Topological Spaces, Comput. Math. Appl. 61 (2011) 1786-1799.
[13] O.Tantawy, S.A.El-Sheikh, S.Hamde, Separation Axioms on Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics V-10 (2015) 2093-9310.
[14] D.Tokat and I.Osmanoglu, Soft Multi Set and Soft Multi Topology, Nevsehir Universitesi Fen Bilimleri Enstitusu Dergisi Cilt, 2 (2011) 109-118.