A Geometry of Approximation
Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns
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Beschreibung
'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.
Such an approach endows the present treatise with a unique character. Due to this uniqueness in the treatment of the subject, the book will be useful to researchers, graduate and pre-graduate students from various disciplines, such as computer science, mathematics and philosophy. It features an impressive number of examples supported by about 40 tables and 230 figures. The comprehensive index of concepts turns the book into a sort of encyclopaedia for researchers from a number of fields.
'A Geometry of Approximation' links many areas of academic pursuit without losing track of its focal point, Rough Sets.
Provides a full and detailed overview of all aspects of Rough Set Theory The first book to place Rough Set Theory in a broad historical and applied setting Provides the theoretical basis and strong examples of the value of Rough Sets for datamining and machine learning
Autor*in
Piero Pagliani
Themen in »A Geometry of Approximation«
Algebraic logic Approximation Conceptual patterns Data mining Incomplete information Rough Sets Topology logic modal logic
Stimmen zu »A Geometry of Approximation«
From the reviews:
“A collection of excursions into many areas related to rough set theory … . This book is intended for researchers and graduate students in mathematics, logic and computer science.” (Jerzy W. Grzymała-Busse, Mathematical Reviews, Issue 2011 m)()