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"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"--
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Showing 5 featured editions. View all 5 editions?
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1
Finite Ordered Sets: Concepts, Results and Uses
2013, Cambridge University Press
in English
1139382624 9781139382625
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3
Finite Ordered Sets: Concepts, Results and Uses
2012, Cambridge University Press
in English
1139005138 9781139005135
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4
Finite Ordered Sets: Concepts, Results and Uses
2012, Cambridge University Press
in English
1107096154 9781107096158
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