Finite Ordered Sets - Concepts, Results and Uses

Informationen zum Autor Nathalie Caspard is an Assistant Professor in the Laboratoire d'Algorithmique, Complexité et Logique (LACL) at Université Paris Est. Klappentext A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets. "Of special value are the many paragraphs devoted to the historical development of the topics considered with ample citations to the literature on ordered sets from the earliest to the very recent" -Joel Berman, Mathematical Reviews Zusammenfassung As the first book to focus exclusively on finite ordered sets! this book will be welcomed by graduate students and researchers. After defining key concepts and presenting the main results! it describes the many applications of these structures in fields such as preference modelling and aggregation! and data mining. Inhaltsverzeichnis 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 non-isomorphic connected ordered sets with at most 5 elements; C. The numbers of ordered sets and of non-isomorphic ordered sets; D. Documentation marks; List of symbols; Bibliography; Index.

Product details

• Authors: Nathalie Caspard, Nathalie Leclerc Caspard, Bruno Leclerc, Bernard Monjardet
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Hardback
• Released: 26.01.2012
• EAN: 9781107013698
• ISBN: 978-1-107-01369-8
• Dimensions: 165 mm x 240 mm x 20 mm
• Series: Encyclopedia of Mathematics and Its Applications; Encyclopedia of Mathematics and its Applications
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics