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

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

Author
Piero Pagliani, Mihir Chakraborty
Publication Year
2008
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Social Sciences

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 methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost.


Keywords: Humanities, Social Science and Law / Algebraic logic / Approximation / Conceptual patterns / Data mining / Incomplete information / Rough Sets / Topology / Logic / Modal logic / Order / Lattices / Ordered Algebraic / Structures / Data Mining and Knowledge Discovery / Mathematical Logic and Foundations / Discrete Mathematics in Computer science / Epistemology