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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P507

Pre-rough Connected Topologized Approximation Spaces


M. J. Iqelan
Abstract

Rough thinking is one of the topological connections to uncertainty. The purpose of this paper is to introduce connectedness in approximation spaces using pre-open sets and rough set notions. The definition of pre-rough connected topologized approximation space is introduced. 

Keywords
Topological space, Topologized approximation space, Pre-rough connected topologized approximation space.
References

[1] M. E. Abd El-Monsef, A. M. Kozae, M. J. Iqelan, Near rough and near exact sets in topological spaces, Indian Journal of Mathematics and Mathematical Sciences, 5 (1) (2009) 49-58.
[2] M. E. Abd El-Monsef, A. M. Kozae, M. J. Iqelan, Near approximations in topological spaces, Int. Journal of Math. Analysis, 4 (6) (2010) 279-290.
[3] M. J. Iqelan, On topological structures and uncertainty, Ph.D. Thesis, Tanta Univ., Egypt, 2010.
[4] J. Kelley, General topology, Van Nostrand Company, 1955.
[5] E. Lashin, A. Kozae, A. Abo Khadra and T. Medhat, Rough set theory for topological spaces, International Journal of Approximate Reasoning, 40 (2005) 35-43.
[6] T.Y. Lin, Topological and fuzzy rough sets, in: R. Slowinski (Ed.), Decision Support by Experience—Application of the Rough Sets Theory, Kluwer Academic Publishers, 1992, pp. 287–304.
[7] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On pre-continuous and weak pre-continuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982) 47-53.
[8] Z. Pawlak, Rough Sets, Theoretical Aspects of Reasoning about Data, Kluwer Academic, Boston, 1991.

Citation :

M. J. Iqelan, "Pre-rough Connected Topologized Approximation Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 16, no. 1, pp. 39-45, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P507

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