On Quasi Discrete Topological Spaces in Information Systems

  • Authors:
  • Tutut Herawan

  • Affiliations:
  • Department of Mathematics Education, Universitas Ahmad Dahlan, Yogyakarta, Indonesia

  • Venue:
  • International Journal of Artificial Life Research
  • Year:
  • 2012

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Abstract

This paper presents an alternative way for constructing a topological space in an information system. Rough set theory for reasoning about data in information systems is used to construct the topology. Using the concept of an indiscernibility relation in rough set theory, it is shown that the topology constructed is a quasi-discrete topology. Furthermore, the dependency of attributes is applied for defining finer topology and further characterizing the roughness property of a set. Meanwhile, the notions of base and sub-base of the topology are applied to find attributes reduction and degree of rough membership, respectively.