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On Links between Rough Sets and Digital Topology

On Links between Rough Sets and Digital Topology
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摘要 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. 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.
机构地区 Mathematics Department
出处 《Applied Mathematics》 2014年第6期941-948,共8页 应用数学(英文)
关键词 ROUGH SETS UPPER Approximation Operator TOPOLOGY and Digital TOPOLOGY Rough Sets Upper Approximation Operator Topology and Digital Topology
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