Semiorders
Properties, Representations, Applications
Published on 9. March 2013
X, 190 pages
978-94-015-8883-6 (ISBN)
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.
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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Other editions
Additional editions
Book
12/2010
Springer
€106.99
Shipment within 15-20 days
Book
06/1997
Kluwer Academic Publishers
€106.99
Shipment within 15-20 days
Content
1 First presentation.- 2 History and applications.- 3 Basic concepts and definitions.- 4 Minimal representations.- 5 Valued semiorders.- 6 Aggregation of semiorders.- 7 Miscellaneous.- Conclusion.
