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＜電子ブック＞
Finite Ordered Sets : Concepts, Results and Uses / Nathalie Caspard, Bruno Leclerc, Bernard Monjardet
(Encyclopedia of Mathematics and its Applications ; 144)

出版者	Cambridge : Cambridge University Press
出版年	2012
大きさ	1 online resource (350 pages) : digital, PDF file(s)
著者標目	*Caspard, Nathalie author Leclerc, Bruno author Monjardet, Bernard author
件　名	LCSH:Ordered sets LCSH:Finite groups
一般注記	Title from publisher's bibliographic system (viewed on 11 Nov 2016) Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research HTTP:URL=http://dx.doi.org/10.1017/CBO9781139005135

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