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Semiorders - Properties, Representations, Applications
by Marc Pirlot ; P Vincke ; Ph Vincke
Binding: Hardcover, 1 edition, 200 pages
Publisher: Springer
List Price: USD $140.00
Weight: 95
Dimension: H: 0.75 x L: 9.3 x W: 0.5 inches
ISBN 10: 0792346173
ISBN 13: 9780792346173
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Book Description:
Semiorder is probably one of the most frequently ordered structures in science. It naturally appears in fields like psychometrics, economics, decision sciences, linguistics and archaeology. It explicitly takes into account the inevitable imprecisions of scientific instruments by allowing the replacement of precise numbers by intervals. The purpose of this book is to dissect this structure and to study its fundamental properties. The main subjects treated are the numerical representations of semiorders, the generalizations of the concept to valued relations, the aggregation of semiorders and their basic role in a general theoretical framework for multicriteria decision aid methods. Audience: This volume is intended for students and researchers in the fields of decision analysis, management science, operations research, discrete mathematics, classification, social choice theory, and order theory, as well as for practitioners in the design of decision tools.

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