Soft P-Connectedness Via Soft P-Open Sets

International Journal of Mathematical Trends and Technology (IJMTT)          
© 2014 by IJMTT Journal
Volume-6 Number-3                          
Year of Publication : 2014
Authors : J.Subhashinin , Dr.C.Sekar


J.Subhashinin , Dr.C.Sekar. "Soft P-Connectedness Via Soft P-Open Sets", International Journal of Mathematical Trends and Technology (IJMTT). V6:203-214 February 2014. ISSN:2231-5373. Published by Seventh Sense Research Group.

This paper introduces soft pre-connectedness in soft topological spaces. The notations of interior and closure are generalized using these sets. In a soft topological space , a soft set F_A is said to soft pre-open if there exists a soft open set FO such that FA ⊆ ̃ FO ⊆ ̃ (FA) ̅ . A detail study is carried out on the soft pre-neighborhood system and soft pre-connectedness via soft pre-open sets.


[1] Bin Chen, Some Local Properties of Soft Semi-Open sets, Discrete Dynamics in Natural and Society, Vol.2013 (2013), Article ID 298032, 6 pages.
[2] A.M. Ibrahim and A.O.Yusuf, Development of Soft Set Theory, America International Journal of Contemporary Research, Vol. 2(9) (2012) 205-210.
[3] J.M.Mahanta and P.K.Data, On Soft Topological Space via Semi open and Semi closed Soft sets, arXiv: 1203.41[math.GN] (2012) 1-9.
[4] D.Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with applications, Vol. 37 (1999) 19-31.
[5] Naim Cagman, Serkan Karatas and Serdar Enginoglu, Soft Topology, Computers and Mathematics with Applications, Vol.62 (2011) 351-358.
[6] R.Santhi and D.Jayanthi, Generalised, Semi-Pre Connectedness in Intuitionistic Fuzzy Topological Spaces, Annals of Fuzzy Mathematics and Informatics, Vol.3.No.2 (2012),243-253.
[7] 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.

Soft pre-open set, Soft pre-closed sets, Soft pre-neighborhood, Soft pre-separated set, Soft pre-connected space.