Lattice theory for rough sets

  • Authors:
  • Jouni Järvinen

  • Affiliations:
  • Turku Centre for Computer Science, University of Turku, Finland

  • Venue:
  • Transactions on rough sets VI
  • Year:
  • 2007

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Abstract

This work focuses on lattice-theoretical foundations of rough set theory. It consist of the following sections: 1: Introduction 2: Basic Notions and Notation, 3: Orders and Lattices, 4: Distributive, Boolean, and Stone Lattices, 5: Closure Systems and Topologies, 6: Fixpoints and Closure Operators on Ordered Sets, 7: Galois Connections and Their Fixpoints, 8: Information Systems, 9: Rough Set Approximations, and 10: Lattices of Rough Sets. At the end of each section, brief bibliographic remarks are presented.