Volume 3, Issue 2, August 2019, Pages: 19-25
Shahad T.Almohammadi1* and Cenap Ozel12
1Department of Mathematics, (UJ) University of Jeddah, P.O. Box 80327, Jeddah 21589, KSA.
2Department of Mathematics, (KAU) King Abdulaziz University, P.O. Box 80203, Jeddah 21589, KSA.
In this article, we propose the lower and upper approximations in a topological vector space. Also we prove some algebraic and topological results of these approximations and give some implications of algebraic and set operations on these approximations.
Rough approximations, lower approximation, upper approximation, Vector Space, Topological Vector Space
 Pawlak, Z. (1982). Rough sets. International journal of computer & information sciences, 11(5), 341-356.
 Kuroki, N., & Wang, P. P. (1996). The lower and upper approximations in a fuzzy group. Information Sciences, 90(1-4), 203-220.
 Wang, C., & Chen, D. (2010). A short note on some properties of rough groups. Computers & mathematics with applications, 59(1), 431-436.
 Bagirmaz, N., Ozcan, A. F., & Icen, I. (2016). Rough approximations in a topological group. General Mathematics Notes, 36(2), 1.
 Wu, M., Xie, X., & Cao, C. (2009, March). Rough subset based on congruence in a vector space. In 2009 World Congress on Computer Science and Information Engineering (pp. 335-339). IEEE.
 Khaleelulla, S. M. (2006). Counterexamples in topological vector spaces (Vol. 936). Springer.