ENGLISH

Finite ordered sets : concepts, results and uses

By Bernard , Caspard , Nathalie; Leclerc , Bruno; Monjardet

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
978-1-107-01369-8, 1107013690, 9781107101784, 1107101786, 303-143-553-2
Language
english
Format
EPUB
Filesize
529 kB (541655 bytes)
Series
Encyclopedia of mathematics and its applications 144
Edition
Online-Ausg
Pages
337\0
Time added
2017-08-15 11:00:00
Ordered sets.;Finite groups -- Electronic books.

Description

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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