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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Pagliani, Piero (Επιμελητής έκδοσης), Chakraborty, Mihir (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2008.
• Σειρά: Trends in Logic, Studia Logica Library ; 27
• Θέματα: Philosophy.; Epistemology.; Logic.; Computer science > Mathematics.; Data mining.; Algebra.; Ordered algebraic structures.; Mathematical logic.; Order, Lattices, Ordered Algebraic Structures.; Data Mining and Knowledge Discovery.; Mathematical Logic and Foundations.; Discrete Mathematics in Computer Science.

'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...

Πίνακας περιεχομένων:

• 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.