2007 | OriginalPaper | Buchkapitel
Lattice Theory for Rough Sets
verfasst von : Jouni Järvinen
Erschienen in: Transactions on Rough Sets VI
Verlag: Springer Berlin Heidelberg
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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.