Titre : | Finite ordered sets : concepts, results and uses | Type de document : | texte imprimé | Auteurs : | Nathalie CASPARD, Auteur ; Bruno LECLERC, Auteur ; Bernard MONJARDET, Auteur | Editeur : | Cambridge : Cambridge University Press | Année de publication : | Cop. 2012 | Collection : | Encyclopedia of mathematics and its applications num. 144 | Importance : | XI-337 p. | ISBN/ISSN/EAN : | 978-1-10-701369-8 | Langues : | Anglais (eng) | Mots-clés : | ensemble ordonné groupe fini | Résumé : | " 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." | Note de contenu : | index, références | En ligne : | http://www.cambridge.org/us/academic/subjects/mathematics/discrete-mathematics-i [...] |
Finite ordered sets : concepts, results and uses [texte imprimé] / Nathalie CASPARD, Auteur ; Bruno LECLERC, Auteur ; Bernard MONJARDET, Auteur . - Cambridge University Press, Cop. 2012 . - XI-337 p.. - ( Encyclopedia of mathematics and its applications; 144) . ISBN : 978-1-10-701369-8 Langues : Anglais ( eng) Mots-clés : | ensemble ordonné groupe fini | Résumé : | " 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." | Note de contenu : | index, références | En ligne : | http://www.cambridge.org/us/academic/subjects/mathematics/discrete-mathematics-i [...] |
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