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ISBN: 2761306473 Year: 1993 Publisher: Saint-Laurent (Québec) : ERPI (Editions du Renouveau Pédagogique Inc.),
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ISBN: 1281353272 9786611353278 3540737561 3540737553 Year: 2007 Publisher: Berlin : Springer,
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Les notions d'ordre, de classement, de rangement sont présentés dans de multiples activités et situations humaines. La formalisation mathématique de ces notions a permis d'abord le grand développement de la théorie des treillis, puis celui de structures ordonnées plus générales, notamment celles relevant des mathématiques discrètes. Les buts principaux de cet ouvrage qui comble un vide sont donc de: - donner les concepts et résultats fondamentaux sur les ensembles ordonnés finis, - présenter leurs usages dans des domaines variés (de la RO ou l’IA à la micro-économie), - signaler un certain nombre de résultats et de recherches en cours. Le lecteur sera ainsi à même de trouver tout ce qu'il a besoin de connaître sur ces structures sans devoir le rechercher dans de multiples revues relevant de disciplines variées.
Ordered sets. --- Computer science --- Knowledge representation (Information theory) --- Operations research. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Mathematics. --- Representation of knowledge (Information theory) --- Artificial intelligence --- Information theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Sets, Ordered --- Set theory --- Mathematics --- Algebra. --- Order, Lattices, Ordered Algebraic Structures. --- Game Theory, Economics, Social and Behav. Sciences. --- Operations Research, Management Science. --- Math --- Science --- Mathematical analysis --- Ordered algebraic structures. --- Game theory. --- Management science. --- Games, Theory of --- Theory of games --- Mathematical models --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Algebra --- Ensembles ordonnés --- Théorie des ensembles
Book
ISBN: 9781107013698 1107013690 9781139005135 1139005138 9781107096158 1107096154 9781107089884 1107089883 1299773451 9781299773455 1316089495 1107086779 1107101786 1107093090 Year: 2012 Volume: 144 Publisher: Cambridge, England : Cambridge University Press,
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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.
Ordered sets --- Finite groups --- Ensembles ordonnés --- Groupes finis --- Finite groups. --- Ordered sets. --- Mathematics --- Discrete Mathematics. --- Ensembles ordonnés --- Groups, Finite --- Group theory --- Modules (Algebra) --- Sets, Ordered --- Set theory
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ISBN: 2296029434 9782296029439 Year: 2007 Publisher: Paris: L'Harmattan,
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Applied ethics --- Consensus (Social sciences) --- Ethical committees
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ISBN: 9783540737568 Year: 2007 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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Ordered algebraic structures --- Operational research. Game theory --- algebra --- speltheorie --- operationeel onderzoek
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Year: 1973 Publisher: Paris Presses universitaires de France
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Social sciences (general) --- Statistical science --- Mathematical statistics