Finite ordered sets: concepts, results and uses
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. Beginn...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 144 |
| Links: | https://doi.org/10.1017/CBO9781139005135 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xi, 337 Seiten) |
| ISBN: | 9781139005135 |
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| spelling | Caspard, Nathalie Finite ordered sets concepts, results and uses Nathalie Caspard, Bruno Leclerc, Bernard Monjardet Cambridge Cambridge University Press 2012 1 Online-Ressource (xi, 337 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 144 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. Leclerc, Bruno Monjardet, Bernard 1938- Erscheint auch als Druck-Ausgabe 9781107013698 |
| spellingShingle | Caspard, Nathalie Finite ordered sets concepts, results and uses |
| title | Finite ordered sets concepts, results and uses |
| title_auth | Finite ordered sets concepts, results and uses |
| title_exact_search | Finite ordered sets concepts, results and uses |
| title_full | Finite ordered sets concepts, results and uses Nathalie Caspard, Bruno Leclerc, Bernard Monjardet |
| title_fullStr | Finite ordered sets concepts, results and uses Nathalie Caspard, Bruno Leclerc, Bernard Monjardet |
| title_full_unstemmed | Finite ordered sets concepts, results and uses Nathalie Caspard, Bruno Leclerc, Bernard Monjardet |
| title_short | Finite ordered sets |
| title_sort | finite ordered sets concepts results and uses |
| title_sub | concepts, results and uses |
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