TY  - BOOK
AU  - Caspard,Nathalie
AU  - Leclerc,Bruno
AU  - Monjardet,Bernard
TI  - Finite ordered sets
T2  - Encyclopedia of mathematics and its applications
SN  - 1107013690 (hardback)
U1  - 511.32 
PY  - 2012///
CY  - Cambridge, New York
PB  - Cambridge University Press
KW  - Ordered sets
KW  - Mathematics
KW  - Finite groups
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"--
ER  -