Soft Pre Generalized - Closed Sets in a Soft
Topological Space

J.Subhashinin; Dr.C.Sekar

doi:https://doi.org/10.14445/22315381/IJETT-V12P270

Research Article | Open Access | Download PDF

Volume 12 | Number 3 | Year 2014 | Article Id. IJETT-V12P270 | DOI : https://doi.org/10.14445/22315381/IJETT-V12P270

Soft Pre Generalized - Closed Sets in a Soft Topological Space

J.Subhashinin , Dr.C.Sekar

Citation :

J.Subhashinin , Dr.C.Sekar, "Soft Pre Generalized - Closed Sets in a Soft Topological Space," International Journal of Engineering Trends and Technology (IJETT), vol. 12, no. 3, pp. 356-364, 2014. Crossref, https://doi.org/10.14445/22315381/IJETT-V12P270

Abstract

This paper introduces soft pre-generalized closed set in soft topological spaces. The notations of soft pre interior and soft pre closure are generalized using these sets. In a soft topological space, a soft set F୅ is said to soft pre generalised –closed if p(F୅ തതത) ⊆෥ F୓ whenever F୅ ⊆෥ F୓ where F୓ is a soft P-open set . A detail study is carried out on properties of soft Pre generalized closed sets and soft PT1/2 Space.

Keywords

Soft pre generalized-closed set, Soft pre generalized –open sets, Soft pre generalized interior, soft pregeneralized closure, soft PT1/2-Space .

References

[1] A.Kandil, O.A.E. Tantawy, S.A .El-Sheikh, A.M. AbD El-LATIF, Soft semi separation axioms and some type of soft functions ,Vol.x (x) (2014)
[2] K.Kannan, Soft Generalized closed sets in Soft topological spaces, Journal of Theoretical and Applied Information Technology, Vol.37 (1) (2012) 1-20.
[3] N.Levine, Generalised closed sets in topology, Rend.Circ.Mat.Palermo, Vol. 19 (2) (1970) 89-96.
[4] H.Maki, J. Umehara and T.Noiri, Every topological space is Pre –T1/2, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., (17) (1996), 33-42.
[5] D.Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with applications, Vol. 37 (1999) 19-31.
[6] Muhammad Shabir and Munazza Naz, On Soft topological spaces, Computers and Mathematics with Applications, Vol.63 (2011) 1786-1799.
[7] Naim Cagman, Serkan Karatas and Serdar Enginoglu, Soft Topology, Computers and Mathematics with Applications, Vol.62 (2011) 351-358.
[8] A.A.Nasef and A.I.EL-Manghrabi, Further results on pre-T1/2 – Space, Journal of Taibah University for Science Journal Vlo.2 (2009) 62-68.
[9] 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(2) (2013) 273-279.
[10] J.Subhashini, C.Sekar, Soft P-connected via soft P-open sets, International journal of Mathematics trends and Technology, Vol.6 (2014) 203-214.
[11] J.Subhashini, C.Sekar, Local properties of soft P-open and soft P-closed sets, Proceedings of National Conference on Discrete Mathematic and Optimization Techniques (2014) 89-100.
[12] I.Zorlutuna, M.Akdag, W.K.Min and S.Atmaca, Remark on Soft Topological Spaces, Annals of Fuzzy Mathematics Informatics, Vol. 3(2) (2011) 171-185.