Finite Ordered Sets: Concepts, Results and Uses Nathalie Caspard

ISBN: 9781139382625

Published: August 2nd 2013

ebook

350 pages


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Finite Ordered Sets: Concepts, Results and Uses  by  Nathalie Caspard

Finite Ordered Sets: Concepts, Results and Uses by Nathalie Caspard
August 2nd 2013 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 350 pages | ISBN: 9781139382625 | 10.65 Mb

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 graduateMoreOrdered 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 (Dilworths and Sperners 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.



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