A Geometry of Approximation Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns /

'A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical method...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Pagliani, Piero (Autor), Chakraborty, Mihir (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2008.
Edición:1st ed. 2008.
Colección:Trends in Logic, Studia Logica Library, 27
Temas:
Logic.
Algebra.
Data mining.
Mathematical logic.
Computer science > Mathematics.
Discrete mathematics.
Knowledge, Theory of.
Order, Lattices, Ordered Algebraic Structures.
Data Mining and Knowledge Discovery.
Mathematical Logic and Foundations.
Discrete Mathematics in Computer Science.
Epistemology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Perception and Concepts: A Phenomenological
  • Observations, Noumena and Phenomena
  • Concrete and Formal Information Constructions
  • Pre-Topological and Topological Approximation Operators
  • Frames (Part I)
  • The Logico-Algebraic Theory of Rough Sets
  • Logic and Rough Sets: An Overview
  • Basic Logico-Algebraic Structures
  • Local Validity, Grothendieck Topologies and Rough Sets
  • Approximation and Algebraic Logic
  • A Logico-Philosophic Excursus
  • Frames (Part II)
  • The Modal Logic of Rough Sets
  • Modality and Knowledge
  • Modalities and Relations
  • Modalities, Topologies and Algebras
  • The Propositional Modal Logic of Rough Sets
  • Frames (Part III)
  • Mathematical Toolkits.

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