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- 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
Sep 06, 2014
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.