Rough Sets on Topological Spaces

Anitha K; Venkatesan P

doi:https://doi.org/10.14445/22315373/IJMTT-V10P509

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 10 | Number 1 | Year 2014 | Article Id. IJMTT-V10P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V10P509

Rough Sets on Topological Spaces

Anitha K , Venkatesan P

Citation :

Anitha K , Venkatesan P, "Rough Sets on Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 10, no. 1, pp. 47-50, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V10P509

Abstract

Rough Set Theory propsed by Zdzilaw Pawlak as a mathematical tool for approaching imprecise knowledge and it has many applications in Datamining, Machine Learning,Morphology, Control Theory and Medicine etc., The basic concept of Rough Set Theory depends on equivalence relation. In this paper we introduce topologies into the realm of Rough Sets and investigate their properties.Mathematical properties of Rough Set Theory can be constructed from fragments of Algebra, Logical Implications and Topology. We aim at presenting a properties of Rough Set Theory by Topological Methods

Keywords

Approximations, Indiscernibility Function, Equivalence Relation, Topological Spaces, Rough Metric, Isometric.

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