Concepts, Results and Uses / [electronic resource] Caspard, Nathalie creator author. Leclerc, Bruno author. Monjardet, Bernard author. text enk 2012 monographic eng

electronic

1 online resource (350 pages) : digital, PDF file(s). 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. Nathalie Caspard, Bruno Leclerc, Bernard Monjardet. Title from publisher's bibliographic system (viewed on 09 Oct 2015). Ordered sets Finite groups QA171.48 .C374 2012 511.3/2 9781139005135 (ebook) http://dx.doi.org/10.1017/CBO9781139005135 http://dx.doi.org/10.1017/CBO9781139005135 UkCbUP 110131 20180107143414.0 CR9781139005135