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Axiomatic Concensus Theory in Group Choice and Biomathematics (Frontiers in Applied...
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Home > Mathematics Books > Group Theory > Item 182
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Axiomatic Concensus Theory in Group Choice and Biomathematics (Frontiers in Applied...
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by William Henry Day and F. R. McMorris
Sales Rank: 2520587
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List Price: $64.50
$64.50
At Amazon
on 12-6-2008
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Paperback: 155 pages
Publisher: Society for Industrial and Applied Mathematic December 2003
Language: English
ISBN-10: 0898715512
ISBN-13: 978-0898715514
Product Dimensions:
9.7 x 6.7 x 0.5 inches
Shipping Weight: 11.2 ounces
Product Description
Bioconsensus is a rapidly evolving scientific field in which consensus methods, often developed for use in social choice theory, are adapted for such areas of the biological sciences as taxonomy, systematics, and evolutionary and molecular biology. Typically, after several alternatives are produced using different data sets, methods or algorithms, one needs to find a consensus solution.
The axiomatic approach of this book explores the existence or nonexistence of consensus rules that satisfy particular sets of desirable well-defined properties. The axiomatic research reviewed here focuses first on the area of group choice, then in areas of biomathematics where the objects of interest represent partitions of a set, hierarchical structures, phylogenetic trees, or molecular sequences.
Axiomatic Consensus Theory in Group Choice and Biomathematics provides a unique comprehensive review of axiomatic consensus theory in biomathematics as it has developed over the past 30 years. Established here are the theory’s basic results using standard terminology and notation and with uniform attention to rigor and detail. This book cites both traditional and current literature and poses open problems that remain to be solved. The bibliographic notes in each chapter place the described work within a general context while providing useful pointers to relevant research. The bibliographic references are a valuable resource for both students and experts in the field.
About The Author
William H. E. Day has been Professor of Computer Science at Memorial University of Newfoundland, Associate of the Canadian Institute for Advanced Research, and Gastprofessor at the Institute of Statistics, Rheinisch-Westfaeliche Technische Hochschule, Aachen. He has served as president of the International Federation of Classification Societies as well as the Classification Society of North America. He received the President's Award for Outstanding Research at Memorial University of Newfoundland. His publications apply theoretical computer science or discrete mathematics to problems in the biological or social sciences.
F. R. McMorris is Dean of the College of Science and Letters and Professor of Applied Mathematics at the Illinois Institute of Technology. Before arriving in Illinois, he spent 15 years at the University of Louisville where he was Assistant Vice President for Research, Distinguished University Scholar and Professor of Mathematics. He also has held positions at the Office of Naval Research and Bowling Green State University. His research interests include applied discrete mathematics, mathematical and computational biology, graph theory and combinatorics, classification theory and location theory.
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Axiomatic Concensus Theory in Group Choice and Biomathematics (Frontiers in Applied...
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Price: $64.50
Updated on 12-6-2008
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