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＜電子ブック＞
A Geometry of Approximation : Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns / by Piero Pagliani, Mihir Chakraborty
(Trends in Logic, Studia Logica Library. ISSN:22127313 ; 27)

版	1st ed. 2008.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	LXXXII, 704 p : online resource
著者標目	*Pagliani, Piero author Chakraborty, Mihir author SpringerLink (Online service)
件　名	LCSH:Logic LCSH:Algebra LCSH:Data mining LCSH:Mathematical logic LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Discrete mathematics LCSH:Knowledge, Theory of FREE:Logic FREE:Order, Lattices, Ordered Algebraic Structures FREE:Data Mining and Knowledge Discovery FREE:Mathematical Logic and Foundations FREE:Discrete Mathematics in Computer Science FREE:Epistemology
一般注記	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 '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 HTTP:URL=https://doi.org/10.1007/978-1-4020-8622-9

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