TY  - BOOK
AU  - Caspard,Nathalie
AU  - Leclerc,Bruno
AU  - Monjardet,Bernard
TI  - Finite Ordered Sets: Concepts, Results and Uses 
T2  - Encyclopedia of Mathematics and its Applications
SN  - 9781139005135 (ebook)
AV  - QA171.48 .C374 2012
U1  - 511.3/2 23
PY  - 2012///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Ordered sets
KW  - Finite groups
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9781139005135
ER  -