A Topological Approach to Soft Covering Approximation Space

Naime Tozlu; Saziye Yuksel; Tugba Han Dizman

doi:https://doi.org/10.14445/22315373/IJMTT-V29P506

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 29 | Number 1 | Year 2016 | Article Id. IJMTT-V29P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V29P506

A Topological Approach to Soft Covering Approximation Space

Naime Tozlu, Saziye Yuksel, Tugba Han Dizman

Citation :

Naime Tozlu, Saziye Yuksel, Tugba Han Dizman, "A Topological Approach to Soft Covering Approximation Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 29, no. 1, pp. 33-38, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V29P506

Abstract

Theories of rough sets and soft sets are powerful mathematical tools for modelling various types of vagueness. Hybrid model combining a rough set with a soft set which is called soft rough set proposed by Feng et al. [3] in 2010. In this paper, we study soft covering based rough sets from the topological view. We present under which conditions soft covering lower approximation operation become interior operator and the soft covering upper approximation become closure operator. Also some new methods for generating topologies are obtained. Finally, we study the relationship between concepts of topology and soft covering lower and soft covering upper approximations.

Keywords

Soft set, rough set, soft covering based rough set, topology.

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