Finite ordered sets : concepts, results and uses
 Author/Creator
 Caspard, Nathalie.
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2012.
 Physical description
 xi, 337 p. : ill ; 24 cm.
 Series
 Encyclopedia of mathematics and its applications ; v. 144.
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Contributors
 Contributor
 Leclerc, Bruno.
 Monjardet, Bernard, 1938
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [296]324) and index.
 Contents

 Preface 1. Concepts and examples 2. Particular classes of ordered sets 3. Morphisms of ordered sets 4. Chains and antichains 5. Ordered sets and distributive lattices 6. Order codings and dimensions 7. Some uses A. About algorithmic complexity B. The 58 nonisomorphic connected ordered sets with at most 5 elements C. The numbers of ordered sets and of nonisomorphic ordered sets D. Documentation marks List of symbols Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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.
(source: Nielsen Book Data)  Supplemental links

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Subjects
 Subject
 Ordered sets.
 Finite groups.
Bibliographic information
 Publication date
 2012
 Responsibility
 Nathalie Caspard, Bruno Leclerc, Bernard Monjardet.
 Series
 Encyclopedia of mathematics and its applications ; 144
 ISBN
 1107013690
 9781107013698