Axiomatic Consensus Theory in Group Choice and Biomathematics

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Society for Industrial and Applied Mathematics, 2003 - Mathematics - 155 pages
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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 theoryOs 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 problem

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About the author (2003)

William H. E. Day, before retiring, was 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-Westfalische Technische Hochschule, Aachen 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

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