Multi topological approximations of rough set theory

A.S. Salama, O.G. El Barbary · International Journal of Granular Computing Rough Sets and Intelligent Systems · 2013

In this paper, we generalise Pawlak's approximation spaces to topological approximation spaces.These topological approximation spaces are generated using many topological notions such as regular open sets, semi-open sets, pre-open sets, γ-open sets, α-open sets and β-open sets and others.The basic definitions and properties of these topological approximation spaces are introduced and sufficiently illustrated.We put all topological generalisations in one generalisation called m-generalisation spaces.

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