Soft regular generalized b-closed sets in soft topological spaces

Subject Areas : Set theory

S. M.  Al-Salem ¹ (Department of Mathematics, College of Science, Basra, Iraq)

Received: 2014-09-22 Accepted : 2015-12-20 Published : 2014-12-01

Keywords: Soft set, soft g-closed, soft rg-closed, soft b-closed,

Abstract :

The main purpose of this paper is to introduce and study new classes of softclosed sets like soft regular generalized b-closed sets in soft topological spaces (briefly softrgb-closed set) Moreover, soft rgb-closed, soft gpr-closed, soft gb-closed, soft gsp-closed, softg$\alpha$-closed, soft g$\alpha$b-closed, and soft sgb-closed sets in soft topological spaces are introduced in this paper and we investigate the relations between soft rgb-closed set and the associated softsets. Also, the concept of soft semi-regularization of soft topology is introduced and studiedtheir some properties. We introduce these concepts which are defined over an initial universewith a fixed set of parameters.

References:

[1] M. Akdag and A. Ozkan, Soft open sets and soft continuous functions, Abstr. Anal. Appl. Art ID 891341 (2014) 1-7.

 

[2] M. Akdag and Al. Ozkan, Soft b-open sets and soft b-continuous functions, Math Sci (2014) 8:124.

 

[3] I. Arockiarani and A. Arokialancy, Generalized soft gb-closed sets and soft gsb-closed sets in soft topological spaces, Int. J. Math. Arch., 4 (2), (2013), 1-7.

 

[4] B. Chen, Soft semi-open sets and related properties in soft topological spaces, Appl. Math. Inf. Sci., 7(1), (2013), 287-294.

 

[5] F. Feng, Y. B. Jun, and X. Zhao, Soft semirings, Computers and Mathematics with Applications, 56 (2008) 2621-2628.

 

[6] G. Ilango and M. Ravindran, On Soft Preopen Sets in Soft Topological Spaces, International Journal of Mathematics Research,(4), (2013) 399-409.

 

[7] C. Janaki and V. Jeyanthi, On Soft gr-Closed sets in Soft Topological Spaces, Journal of Advances in Mathematics, 4 (3), (2013), 478-485.

 

[8] V. Jeyanthi and C. Janaki, gr-closed sets in topological spaces , Appl. Math. Inf. Sci., 1(5), (2012), 241-246.

 

[9] K. Kannan, Soft generalized closed sets in topological spaces, Journal of Theoretical and Applied Information Technology, 37 (1), (2012) 17-21.

 

[10] N. Levine, On Generalized Closed Sets in Topology, Rend. Circ. Math. Palermo, 19 (2), (1970) 89-96.

 

[11] P. K. Maji, R. Biswas and A. R. Roy, Soft Set Theory, Comput. Math. Appl., 19 (2), (2003), 555-562.

 

[12] D. Molodtsov, Soft set theory First results,Comput. Math. Appl., 37(4-5), (1999), 19-31.

 

[13] M. Shabir and M. Naz , On Soft topological spaces, Comp. And Math. with applications,61(7), (2011), 1786-1799.

 

[14] J. Subhashinin and C.Sekar, Soft Pre Generalized - Closed Sets in a Soft Topological Space, International Journal of Engineering Trends and Technology, 12(7), (2014), 356-364.

 

[15] C. Yang, A not on soft set theory, Computers and Mathematics with Applications, Int. J. Math. Arch.,56(2008), 1899-1900.

 

[16] S. Yuksel, N. Tozlu, and Z. Guzel, On Soft Generalized Closed Sets in Soft Topological Spaces, Journal of Theoretical and Appl. Inform. Technology, 55(2), (2013), 17-21.

 

[17] S. A. Yuksel, N. Tozlu and Z. G. Ergul, Soft Regular Generalized Closed Sets in Soft Topological Spaces, Int. Journal of Math. Analysis, 8(8), (2014), 355-367.

 

[18] I. Zorlutuna, M. Akdag, K. W. Min, and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Math. and Info., 3(2), (2012), 171-185.