TITLE:
On Links between Rough Sets and Digital Topology
AUTHORS:
El-Sayed A. Abo-Tabl
KEYWORDS:
Rough Sets, Upper Approximation Operator, Topology and Digital Topology
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.6,
April
8,
2014
ABSTRACT: Rough set theory is
a powerful tool for dealing with uncertainty, granularity, and incompleteness
of knowledge in information systems. In addition, digital topology deals with
properties and features of two-dimensional or three-dimensional digital
images that correspond to topological properties of objects. So, we try to describe
the relationship between rough sets and digital topology. Firstly, we will
study the classifications of topologies in rough sets. Secondly, we will use
the upper approximation operator to span the digital line, which is the basic
building block of the digital spaces.