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Lattice Theory for Rough Sets

Jouni Järvinen, Lattice Theory for Rough Sets. Transactions on Rough Sets VI, 400−498, 2007.

Abstract:

This work focuses on lattice-theoretical foundations of rough set theory. It consists 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.

BibTeX entry:

@ARTICLE{jJarvinen07b,
  title = {Lattice Theory for Rough Sets},
  author = {Järvinen, Jouni},
  journal = {Transactions on Rough Sets},
  volume = {VI},
  pages = {400−498},
  year = {2007},
}

Belongs to TUCS Research Unit(s): Algorithmics and Computational Intelligence Group (ACI), FUNDIM, Fundamentals of Computing and Discrete Mathematics

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