Finite ordered sets
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Author
Contributions
- Leclerc, Bruno - Contributor
- Monjardet, Bernard, 1938- - Contributor
Publication
2012 - Cambridge University Press, Cambridge, England
Language
English
Word Count
0 words, Guess
Page Count
0 pages
Identifiers
- ISBN-139781107013698
- ISBN-101107013690
- Library of Congress Control Number2011040516
- OCLC Control Number758844614
- Better World Books9781107013698
and 1 more
- Open LibraryOL25086848M
Classifications
- DDC511.3/2
- LCCQA171.48 .C374 2012
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"--
Series Statement
- Encyclopedia of mathematics and its applications -- 144
Other Editions
- Finite ordered sets
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